Discussions of the questions on Temperature & Heat

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Here are collected my discussions of the questions in the Virtual Workshop on Temperature and Heat, as well as some of the discussions from participating groups.

Please see the Map showing the location of all the participants. And check out the Question Board!

This is http://www.pa.uky.edu/~sciworks/imagnv2.jpg
Joseph P. Straley
Department of Physics & Astronomy
University of Kentucky

Temperature

1.The thermometer that we have been studying is of a standard (somewhat old- fashioned) design. But there are other ways to measure or sense temperature. Make a list of these, noting such features as temperature range for which they are useful, precision of the measurement (this means, how much the temperature can change without the thermometer noticing it -- it is the difference between the second hand and the minute hand on a clock), accuracy of the measurement (this means, how believable is the answer? A very precise clock might not be accurate, if it had not been set carefully). In addition to the usual devices designed to be thermometers, you could also consider things that depend on temperature in a definite way, such as whether the bass are biting.

I did want to make the point that there are informal thermometers -- the trees lose their leaves and the lake freezes in winter; crickets chirp in the summer (and there is a claim that you can tell the temperature by how often they chirp). Almost every property of anything changes with the temperature (even the mass of an object depends on temperature -- in about the 18th decimal place), and so anything could be a thermometer -- the problem is in getting the effect big enough to see, and then calibrating the thermometer reproducibly.

My wife tells the temperature outside by looking at the kitchen door -- if it is fogged up, it's cold outside. This depends slightly on the fact that I beat her to the kitchen by 15 minutes, and have already boiled water for the coffee and made my oatmeal in the microwave, which add water vapor to the air. We will find out later that the temperature at which the glass fogs is dependent on the amount of water vapor in the air inside, but is a very sharply defined temperature: either the glass fogs or it doesn't, depending on the temperature outside.

Ice melts at 0 C (32 F), but other things melt at other temperatures. Salad oil and butter freeze in the refrigerator; tar melts on hot days; and one way a potter tells whether the kiln is hot involves observing a small piece of stuff that changes shape (due to partial melting) when it gets hot enough. The melting temperature of pure materials is very well defined, and is used to calibrate thermometers.

One group said:
"Some satellites can detect infrared rays which appear different colors depending on whether it is warmer or cooler. Liquid crystals will turn different colors in the presence or absence of more heat. Precise temperatures can be taken using a device called a thermocouple. The human body also a built in thermometer to gauge approximate temperatures.
Satellite - usefulness:variations in earth and space temperatures;precision:very precise; accuracy:accurate.
Liquid crystals - usefulness:body temperature;precision: some;accuracy:within 1-2 degrees body temperature.
Thermocouple - usefulness:lab or factory; precision:very precise;accuracy:very accurate.
Human body - usefulness:to determine "safe" temperatures; precision:some; accuracy:cannot determine exact degrees but can determine degree of safety."

One group said:

  1. You could feel the temperature of something with your skin. This wouldn't be very accurate or reliable, as different people would probably sense temperature differently.
  2. You could observe things that are affected by heat in particular ways, for example a concrete sidewalk or blacktop driveway in high temperatures with vapor coming off of them. This would help to determine that the temperature was very hot outside. This would only work to determine certain ranges of temp.
  3. .If it is cold outside you could see if water freezes or if water vapor condenses on a glass. This would not give you a very accurate or precise temp. but you would know that it is 0 degrees Celsius or colder if the water froze.
  4. Galileo thermometer. Different colored bubbles in the liquid cylinder float as the liquid cools. This can be pretty accurate, as it generally matches the thermostat in my house.

2.Why do we care what the temperature is? Discuss some of the things that go wrong (or go right) when it is hot or cold.

Because the properties of materials depend on temperature, the function of a device also is temperature dependent. With simple devices we don't notice this, but as the devices get more complicated it is a more serious problem. Transistors are very temperature sensitive, and I guess it is a miracle of engineering that computers are not accidentally thermometers (2 + 2 = 5 on really hot days). Which is to say: devices are designed to work in a range of temperature, and at other temperatures they may stop working altogether. Living organisms are really complicated, and so we have to maintain an environment that is about the right temperature, and use environments in which the temperature is all wrong to discourage bacteria -- we keep food the food cold for a while and then roast it.

One group said:
"We care about temperature for many reasons. We care if it gets to freezing or below because of the effect it has on our plants and animals outside. We all like to be comfortable, so that is another reason we don't want it to be too hot or too cold. We also use more energy during temperature extremes. Farmers need certain temperatures to grow crops. People who build houses, roads, or generally work outside are effected by temperature and care a lot about it. No one wants to swim when it is cold outside."

One group said:
"Temperature effects our daily lives in that it helps us know what type of activities we can plan, how to dress for the day, and the type of precipitation we could expect (if any). For example, if the temperature is 90 degrees F. it may be a better idea to go swimming than it would be to mow the grass. If the temperature is 32 degrees or below and the sky is cloudy it may snow and we may need to stay home."

Comments from Joe Straley:
...and worry about whether the pipes are going to freeze. Right now it is hot, and we have sweet corn and real tomatoes and watermelon ... and mosquitos and chiggers and ragweed pollen. Biological activity is very sensitive to temperature -- somewhere I read that increasing the temperature 10 degrees makes everything happen twice as fast . The amount of water in the air is also very sensitive to the temperature, and in the summer my office door swells and sticks. At low temperatures not only does water freeze, but so do oils (think of butter), and flexible things become stiff -- so that anything that is designed to work at one temperature will not work as well at another.

One group said:
"In daily life, we experience a very narrow range of temperatures which determine, in part, our daily plans and activities. When the weather is too hot, people who are sensitive to heat experience more breathing difficulties, tend to dehydrate rapidly, have lower blood pressure, experience syncope, which could lead to death. If the temperature is too cold, a person can experience hypothermia, frostbite, breathing difficulties, and possible death. For this answer, we focused on temperature pertaining to the human body but realize there are MANY other things that can go right or wrong (i.e. machinery, other organisms, the earth's crust, stationary objects) depending on extreme hot or cold temperatures."

Equilibrium

1.The wind certainly makes you feel cold. How does it affect the thermometer reading? Consider a thermometer in your room that is reading 22o C (72o F). If you turn a small electric fan on and point it at the thermometer - or even fan it vigorously with a piece of paper folded into a fan shape - how will it affect the reading and why? Discuss the respects in which you differ from a thermometer that are relevant to your answer (after all, you both have red noses!).

It is important to realize that our sensation of hot and cold differs from what a thermometer reads. People maintain a constant temperature, and what we mean by "cold" is that we are losing energy rapidly. This can happen because the temperature is low, but it can also happen because we are touching a material that absorbs heat better than air, or because the air is rapidly moving past us (which helps the air carry away energy). So the wind makes us cold, metal is cold, and stone is cold -- even though the temperature of these is not different from the temperature of the air (as you found out in the first activity in this section). The weatherman calculates a "wind chill" factor because the thermometer reading doesn't fully explain what we feel.

Some people are suprised by the results of the first activity, in which it was found that a thermometer reads the same temperature in a glove, wrapped in aluminum foil, or stored in a plastic bag full of water. It is measuring the actual temperature of these things. To us the metal and the bag of water would feel cooler than the air, and the glove would feel warmer, because they are more effective or less effective at removing energy from us.

Determining the temperature of something by touching it can be tricky. You can compare things of the same kind, to tell warm rocks from cool ones or hot foreheads from normal ones, but you cannot reliably compare different things.

One group said:
"Wind doesn't directly change the temperature but it actually effects how it makes you feel. If you put a thermometer in front of a fan it doesn't actually change the temperature of the thermometer. The only thing the fan is doing is stirring the air around making it seem cooler. The wind causes whatever the temperature is to stir the air around making it feel warmer or cooler to you."

Another group said:
"Wind does not effect the thermometer reading. Our bodies maintain a constant temperature of approximately 98.6 degrees F regardless of the external temperature. A thermometer's temperature changes depending on what it comes in contact with until it reaches thermal equilibrium. However, a fan will make a person feel cooler because the wind from the fan combined with air temperature causes a person to lose body heat by evaporating the moisture on our skin and by blowing away warm air around us. Wind chill would only effect people and animals, not non-living objects (i.e. a thermometer.)

Comments by Joe Straley:
If you are going to mention evaporation in the context of people, you will have to qualify your last sentence more -- a lake is nonliving, but it will be cooled by evaporation, too. Other than that, a very nice explanation. If you just brought the thermometer into the room, blowing a fan on it would get it to the temperature of the room as fast as possible -- so it would be more accurate.

2.Here are some ways to deliver energy, and some estimates of what they cost. Use this data to determine what a Joule costs, each way. If energy was completely easy to convert from one form to another, the cost for 1,000,000 J would be the same for each way. Think about and comment on why the cost varies the way it does.

One group said:

Comment by Joe Straley:
The result of the calculation is that there is a very wide range of prices for energy. To make sense out of these, a order them by cost. I find it useful to draw a bar graph showing the results. Here is what it looks like:

(This is http://www.pa.uky.edu/~sciworks/public_html/images/buckperJ.gif )
The cheapest sources of energy are the raw materials. We use coal and gas the way they come out of the ground, and oil is hardly more processed. Gasoline is a purified component of oil (and there are all those taxes), so it costs more; electricity is also purified in important respects -- all the smoke and dirt is left back at the power plant (and this is the cost delivered to your living room).

Food has to meet much higher standards of purity, and the energy has to be in very specific forms: complicated molecules, assembled in special ways. From this point of view it is surprising that sugar costs "only" twenty times as much as oil (let's pause to notice that fuel alcohol is made from sugar, basically -- the gasohol industry is going nowhere until the price of gasoline rises to meet the price of sugar).

We don't eat steak for the energy alone. So what if it costs 30 times as much as sugar, or 1000 times as much as coal?

The manual laborer does more than lift the bricks -- he can find the bricks, sort out the broken ones, and neatly stack them in the process. However, it costs 50,000 times as much as electrical energy, so we will always use a machine when we can.

The cost of 1,000,000 J would be the same, no matter what the form, if it was completely easy to change it from one form to another, and if we didn't care about side effects like smoke, dirt, radiation, or what the energy tasted like.

3.Room temperature inside your house is probably about 72o F. Now consider other locations, such as on the porch, or in the attic. What does "thermal equilibrium" mean in these other environments? And how will an object taken from inside your house be affected when it is moved into one of those other environments?

One group said:
"Thermal equilibrium means that heat energy will be transferred from one medium to another. Some environments have a hotter "normal" temp. or colder "normal" temp. than others. The attic under normal circumstances will be hotter than the rest of the house. The basement would be colder and the middle layer, usually the living quarters is in between. The living quarters are usually regulated by the person living there using the thermostat. Most objects that are moved from one location to another initially will have the temperature of the original location, but then by transferring energy come into equilibrium with the new environment."

Another group said:
"Thermal equilibration will mean different readings in the attic or on a porch. For example, if on a very warm day you took a glass of ice water to the porch it would not take as long for it to reach room temperature as it would in a house at 72 degrees. But, it would take longer than it would if you placed the ice water in the attic. In each of these environments thermal equilibration would still take place. The only difference would be the readings and the time factor. This experiment could take place anywhere that 2 or 3 different "room temperatures" could be made available. "

Still another group said:
"Thermal equilibration is the exchange of heat between objects of different temperatures in the environment. Thermal equilibrium is result of the exchange of heat between objects of different temperatures in the environment. Objects that are at room temperature are object that have been in the room for a period of time and have been allowed to reach thermal equilibration. Some examples are tables, chairs, and books. Object at are not at room temperature would be things newly introduced into the environment. Examples of this would include a cup of hot coffee and a glass of ice water. These things would eventually reach "room temperature" but time would have to pass before this occurred. (Electronic devices, as long as they stayed on, would not reach room temperature because they generate their own heat)."

Comments by Joe Straley:
These are all nice discussions. When we talk about equilibrium, we are assuming that the system is isolated from "the rest of the world," so that the exchange of energy and material is small enough to be neglected. Then the system exchanges within itself until ... ...until it stops doing so! In the last section "Irreversibility" we will discuss why it stops. Finally we should remember that we don't live in an equilibrium environment: the sun shines, bringing in energy, which then escapes somehow. Equilibrium is dead; life is a consequence of a system that is constantly being disturbed

A summary comment by Joe Straley:
This was a rather general section. It establishes an important starting point -- we have to understand that equilibrium happens before we can talk about temperature in a meaningful way, and in this context has the same importance as the number zero in arithmetic, or what we mean by a point in plane geometry. It's about as exciting to discuss, too.

Thermal Expansion

1.Give five examples of thermal expansion in everyday life. Hint: thermal expansion effects are almost too small to see, but sometimes there are audible effects.

One group said:
The windows in my house expand when the sun shines directly on them in the morning and make a popping sound. A hot water heater will expand slightly when it is filling with water and makes a clicking sound. A toaster will made a clicking sound as well both when it is heating and when it is cooling. Sometimes a dresser drawer will stick when the indoor temperature is warm enough and this is due to thermal expansion. Highways, especially in cold climates, have spacers to allow for thermal expansion. If they did not have these spacers the roads would buckle much sooner than they do.

Another group added:
a. Baking sheet will bend when in the oven but will go back to it's original shape when it is cooled. The increased temperature of the baking sheet made the molecules move faster (hitting against each other more and harder) therefore expanding. Again, it is not the atoms or molecules getting bigger. When it cools the sheet goes back to it's original shape and size (even though we can not detect the size difference). The atoms or molecules are not moving as fast therefore shrinking.
b. Car engines make noises when it is cooling. I hear ticks as the engine cools. The ticking is metal going back (bending) to its original shape and size. We have also heard ticking from water heaters cooling, toasters cooling,
c. Guitar strings tighten when in the heat. Because room temperatures are different musicians will have to retune their metal strings before playing. If it is cold then they would have to tighten them. If it is hot then they would have to loosen them.

Comment by Joe Straley:
Good examples. Thermal expansion is not a big effect, but it is rather inexorable. Raising the temperature of an object makes only a tiny increase in its dimensions, but it could take an enormous force to prevent the change. In fact, if you put your thermometer in water that is much above 50o C, it may break!
     When the temperature of the guitar changes, the strings change length and the the guitar expands, too. Because the materials are different, the result is that the strings are tighter or not as tight. My violin goes flat when it gets warmer (so I have to tighten the strings) which is the opposite of the behavior described for the guitar -- but maybe this was a fiberglass guitar, instead of a wooden violin.
      My favorite example is what happens when you drop an icecube out of the freezer into a liquid. The outside of the ice cube expands, while the inside is still cold. The ice cube cracks, and makes crackling noises. House pipes change length when you run hot water through them, and if the pipe is going through a tight fit somewhere there will be little noises pop.......pop........pop.........pop........ as it returns to its original length. It sounds like the bogeyman is coming up the stairs but actually its just a reminder that you took a shower.
      Warm weather is also humid weather; this can be a separate reason for the dresser drawer sticking. If it's thermal expansion, the drawer should start working on the first cool day; if it is humidity, you will have to wait until the furnace starts working. (We will sudy humidity later, too)

2.Compare the volume of liquid that a flower tube can hold, to the volume of liquid that fills the little straw that we used to make the air thermometer: approximately how many strawfuls would it take to fill the tube? This ratio gives you an idea of how much the volume of the air changes in the air thermometer.

One group said:
2. The flower tube will hold approximately 7 straws of liquid. The ratio would be 7:1. This experiment demonstrates on a small scale the importance of taking into account thermal expansion in larger objects. Examples of this would be on road and bridge construction. The experiments in this sections could easily be done in the classroom to demonstrate thermal expansion. As an extension to this learning after the experiment students could compile their own list of thermal expansion around their home.

Comment by Joe Straley:
OK. When you move the air thermometer from ice water to pretty hot water, the liquid level in the straw changes by a lot -- most of a strawful. This means the air in the flower tube expanded by 1/7 = 14%. This would not be a very big change, if we had a balloonful of air -- it would get just a little bit bigger. So the smalll volume of the straw relative to the tube is a way to make the small change look larger.
      Combining the 1/7 (which is 14%) change in volume with the 40o C temperature change that causes it gives a measurement of the thermal expansion of air: 0.35 % per celsius degree. It's not a big effect, yet much bigger than the thermal expansion of solids and liquids.
      Here's another interesting thing about the measurement. Going from 40 degrees Celsius (pretty hot water) to 0 degrees Celsius, the volume of the air changes by 1/7. What would happen if we went to -40 degrees Celsius, and then to -80 degrees Celsius, and then to -120 degrees Celsius, and so on? One possibility is that the volume decreases by the same amount in each temperature interval. Then we can only lower the temperature by 7 x 40 = 280 degrees: suppose we had 7 cubic centimeters to begin with, at zero degrees C. Then at -40 we would have 6 cc, and -80 we would have 5 cc, ... at -280 we would have 0 cc. Something has to happen, because we can't have a negative volume! Of course, there are many possibilities: the volume change might be different at other temperatures, or the air could freeze solid and stop changing. But the interesting possiblity is that there is a limit to the temperature scale, that it just comes to an end about -280 C, and it doesn't have any meaning to talk about a temperature below this. Which turns out to be what happens -- the Right Answer, in this case. So your observation is a determination of the absolute zero of temperature.

3.Scientific theories are useful when they account for all observed facts (including facts that were not being considered when the theory was being constructed), and are able to predict the outcomes of experiments that haven't been done yet. One theory of thermal expansion that is occasionally given (by students who have heard too much about atoms without gaining much understanding of them), is that materials expand with temperature because the atoms get bigger. (The same students probably also believe that cheese is made of tangy orange atoms). Please discuss this theory of thermally expanding atoms. Can it describe the behavior of an iron rod? Does it apply to air? Can you use it to explain the behavior of water? What does the theory predict for sodium chloride? And finally, do we need this theory at all?

One group said:
During thermal expansion every linear dimension increases by the same percentage with an increase in temperature (assuming that the expanding material is uniform). The atoms (molecules) that make up an iron rod would expand-move farther apart from each other-when heated. This also applies to air molecules. When air is heated the molecules move faster, expand their area, and rise. On the other hand, water contracts with increasing temperature (0-4 degrees C). The theory predicts that sodium chloride, being a solid, would increase in temperature as its atoms and molecules vibrate with greater speed and amplitude. Yes, we need the theory of thermal expansion for safety reasons and for correct manufacture of devices which would be afftected by themal expansion. Since this is an occurence that can not readily be observed, it is most important to be understood.

Comment by Joe Straley:
This is a good summary of what thermal expansion means, in terms of the atoms. But I was asking a different question, too: how can we tell the difference between the theory that says there is more space between the atoms, and the theory that says the atoms get bigger? I'd like to avoid explanations that describe everything in terms of the properties of atoms, because I have never seen one, and to say "This is a magnet because the atoms are magnetic" isn't really an explanation at all. So is there anything wrong with the claim that thermal expansion is due to the atoms and molecules getting bigger?


The theory that atoms change size with temperature would be a way to explain why objects change size with temperature. But we have to consider the other implications of the theory.

The actual theory of matter assumes that most of the properties of the atoms are quite unaffected by temperature. Thermal expansion occurs because the atoms are farther apart. Then liquids and solids are hard to compress, because their atoms are almost touching, while gases are easier to compress, because all we are doing is removing some of the space between the atoms.

Liquid Crystals

1.Place a warm object -- a cup of coffee, your hand, a stone that has been sitting in the sunlight for a while -- on a table top for a few seconds. Remove it and then place the thermal sensing sheet where the object was. What do you observe? Does it matter which temperature-range thermal sensing sheet you use? How could you modify this activity to get an effect with a cool object?

One group said:
" 1.Both sensing sheets absorbed the heat. The brown sensing sheet is more sensitive to the warmth from Donna's hands. This is what we predicted since it's temperature range is higher degrees. When we used a cup of ice water, the blue sheet went to green, light brown, dark brown and black. The brown sheet went to black and stayed there. "
Joe Straley commented:
Maybe this is just a matter of language, but eventually it becomes a conceptual difference: The sensing sheet is a kind of thermometer. It tells you what its temperature is, by changing color. When you touch the sensing sheet, you change its temperature, and I think what you intended to say in your first sentence was "Both sensing sheets responded to warm objects."
The language point is that when I say "heat" I am talking about energy. Causing the thermal sensing sheet to change color actually does involve a small amount of energy transferred, but it isn't much; to say "it absorbs the heat" means something very different to me -- this would be an object that feels cool to your fingers, because it is that loss of energy that you sense.
Your observation about sensitivity is quite right. The temperature range from a rich chocolate to pea green is not very big, but then it stays blue for a larger range. I can tell from your comments that it was a warm day, and that the AC was not cranked up to full. When you try this again in February, you will find that the "brown" sheet is flat black and won't talk to you at all, while the "blue" sheet may be brown, or maybe it, too, thinks the room is entirely too cool. That's why we gave you two different pieces!

We also need to discuss what happens to the thermal sensing sheet when the object is cool. If the thermal sensing sheet is already black, it probably means it only responds to temperatures above room temperature, and the cool object will give no effect. If the sensing sheet is tan or green or blue, then the cool object will give a brown or black spot.
  A question that was discussed with some groups was what to do if the sheet was black and you were trying to find a cold spot -- for example, to determine where a can of cold soda had been placed on a table. My idea was pretty simple -- turn up the thermostat -- but one group suggested warming the table top a little bit with a heating pad, and then testing it, and another group came up with an even better idea: place the thermal sensing sheet on the table top where you think the cold spot is, and then blow on the sheet! This works quite well! We quickly warm up the surface layer of the table with our warm breath, and the cold spot lags behind, and is displayed as a dark area on the now-colored thermal sensing sheet.

2.What is the smallest temperature difference that you are able to distinguish by looking at the thermal sensing sheet? What is the temperature range where the color changes a lot with a few degrees?
If you touch the thermal sensing sheet, how long does it take to change color? How long does it take to return to its original color (note that the answer is rather different if it started out black, than if it started out with some color)
-- if it is lying on the table top?
-- if you wave it in the air?

One group said:
" We were unable to detect a difference at ½ degree C but could see a change of color at one degree intervals. For 4-5 degrees, it stays in one family of colors (green, blue, violet) before changing to brown or black. The sheet changes color immediately when you touch it but takes longer to change back. If the sheet is already black because the temperature is too cold and out of range, then it will not change color when it comes in contact with something even colder. That would also be true if the temperature is too hot and out of range and you touch the sheet with something hotter. "
Joe Straley commented
It depends on whether you are trying to tell the temperature or detect a temperature difference. Identifying a particular color well enough to say "This means 26 C" is hard, but you can see rather small differences in color, where one brown is slightly greener than another. In this latter regard, the temperature differences we can detect are probably rather smaller. That's one of the neat things about this stuff.

One group added:
" We had a good laugh over the fact that Donna's fingertips (and anyone else's who came along while we were working) registered a change of temperature on the sheets but Susan's would not!!! Anyone else have that problem????? "
Joe Straley replied
Oh, yes, it is quite common. Your fingers can be quite a bit cooler than the rest of you. Though I would expect that with the blue sheet there would be some effect, and if the other sheet is showing brown, Susan only has to be 1 degree warmer than the room air to give a detectable difference. The problem will be more severe when it is cooler in the room -- now it can happen that the sheet is black and will stay black until you warm it into its active range. People with fingers cooler than this will have no effect at all. Some days it happens to me, too. "

Conduction

1.Explain why wet clothes are very dangerous to people in very cold places, such as Polar explorers.
One group said:
" 1.Wet clothes are very dangerous to people in very cold places because heat moves from a warm object to a colder one. This can easily cause hypothermia because ones body heat is being transferred to the colder surroundings. The wet clothes add to this problem because although the moisture from the clothes is evaporating slowly, this process is conducting a lot of heat energy away from one's body. This is especially dangerous if it is the socks that are wet, because the feet are generally cooler than the other body parts. Also, as thermal equilibration takes place, one's ody temperature is lowered to a dangerous level. "

Comment by Joe Straley:
" Insulation generally is mostly air (using vacuum would be far better, but then requires a strong stiff container); water is a much better conductor.
   Your mention of evaporation is a little confusing to me. Evaporation would make the clothes even colder on the outside, but they already are too cold, and evaporation is not a very fast process at low temperatures. However, evaporation is relevant because if the polar explorer gets overheated, he or she will try to cool by sweating -- expecting evaporation to do the job -- and now we have water and water vapor to get rid of. "

1. Give some examples from around the house where we choose materials because they are poor thermal conductors. Give examples where we choose materials because they are good thermal conductors.

One group said:
" Poor thermal conductors--insulated walls, oven mitt to pick up a pan, hot pads on the table, styrofoam cups, pan handles make of wood or plastic, plastic cooking utensils, houseslippers.
Good thermal conductors--aluminum foil to cover a baking potato, reflecting pans on the stove, metal or glass pans to cook in, teakettle to boil water, curling iron, metal cooking utensils, toaster, iron. "

Comments by Joe Straley
Among the uses of poor conductors we could add blankets and coats and clothes in general! This list goes on and on -- keeping hot things hot, warm things warm, and cold things cold dictates the form and construction of a lot of everyday objects. The list of uses of good conductors is shorter -- perhaps because we use metal a lot anyway for other reasons, so that examples where it is clear that nothing else would do are harder to think of. The contexts in which we want a good thermal conductor are when we want to move energy from a source into something. Sticking the bacon directly into the gas flame isn't going to work well; a frying pan delivers the energy more uniformly. A baking nail helps move energy into the center of a potato.

It would seem that there could be an application of a good conductor to remove energy from an object -- as a way to rapidly cool it -- but I can't think of very many good examples. When I was a boy, we used to make ice cream in a gizmo that you cranked (more accurately, the most enthusiastic 12-year old cranked). The ice cream mix was inside a stainless steel can, and cooled by immersing it in a salt-ice mixture. That would be an example of a system to remove energy rapidly, but I think I have seen this device with a plastic can, too. The freezer compartment of a refrigerator tends to have a lot of metal surfaces, and ice cube trays are frequently made of aluminum, but it isn't so clear that this choice of materials was made with thermal conduction in mind. There are plastic ice trays, but not styrofoam ones.

Some of the discussions of this question have revealed two more lists we could construct: examples where we use a good thermal conductor even though we would be better off with an insulator, and vice versa. For example,
*copper hot water pipes
*windows
*metal spoons used for cooking

I think they must make pipes out of copper because it is easy to work and doesn't turn the water orange. Certainly we intend to keep the energy inside the pipes instead of heating up the crawl space -- so it is unfortunate that copper is a good conductor.

Likewise windows conduct altogether too well. We use double and triple windows and drapes to try to minimize this unfortunate aspect of windows.

Metal spoons might be used to transfer energy rapidly, but I don't think this is the usual reason for them. They are strong, light, and easy to clean. (I remember once that a family was visiting us, and my wife made hot cocoa for the children. She served it with the wedding silver! And got in trouble, because the spoons were too hot to hold. Stainless steel does not conduct as well, and would have been a better choice). One example of making use of metal spoons because they are good conductors might be dipping the spoon in hot water just before you try to scoop out ice cream straight from the freezer.

2. If you cover your home thermostat with a blanket, will it make the house hotter or colder, or have some other effect?

One group said:
" Since the blanket is a poor conductor the cool or warm air in the room will not reach the thermostat coil as quickly. Therefore, the room will get cooler or hotter more quickly because the thermostat will not kick on. "

Another group said:
" 3. If you cover your home thermostat with a blanket the house will get cooler. The blanket insulates the thermostat and will keep it at a constant temperature. In the summer the air surrounding the thermostat would likely be warmer than the air outside the blanket. Therefore, the air conditioning system would run trying to cool the air under the blanket to the temperature setting on the thermostat. In the winter the opposite would be true. The thermostat would "think" the air temperature outside the blanket was the same as the temperature under the blanket. Therefore, the heating system would not come on to warm and the house would get colder. "

Comment by Joe Straley
" Your analysis is correct, except perhaps for the part about "the air surrounding the thermostat would likely be warmer" -- it's warmer under the blanket when we are there, because we are constantly converting chemical energy in to thermal energy, but there's no reason for the temperature under the blanket to be warmer or colder than the air in the living room (unless the thermostat has a lightbulb in it that is making heat). The temperature under the blanket will tend to stay wherever it is, and will change only very slowly as heat leaks in or out through the blanket.

However, if we assume the temperature under the blanket is too warm, the AC will turn on and stay on and the African Violets will be shivering in their pots when finally enough heat leaks through the blanket that the thermostat realizes that the house is now cold enough. The AC turns off, and the house will begin to return to normal ... and then get warmer and warmer until it is nearly the same as the temperature outside, and the dog is about to collapse when the AC turns back on again. Something similar will happen in heating season, and the temperature will again seesaw between much too hot and much too cold.

We first asked this question just as a way to check that people had gotten over the idea that it is always warm inside a blanket (some people are very surprised by the first activity in the equilibrium section). But then I realized that the effect would be far more undesirable: your house would hardly ever be the right temperature -- it would almost always be much too hot or cold. "

Convection and Radiation

1. The wind can be used as a source of energy. But where does the wind get this energy from? Please give a discussion tracing the flow to energy.
One group said:" The wind gets its energy from the sun since the sun is the major source of energy for everything on earth. Since the sun is nearer the equator, air is hotter there. As the hot air rises toward the poles, it cools down and sinks back down causing a huge convection current of air flow. "

Comment by Joe Straley:
" This contains the main ideas. The sun is delivering power, and does so unevenly. Thermal expansion in the hot places, and the tendency of hot air to float over cold, drives the wind. You have described the large scale flow of air, but the wind in Kentucky is more associated with fronts -- temperature changes over a few hundred miles, rather than tens of thousands. "

One group said:
" Answer: The wind comes from the unequal heating of the earth. Due to the earth's rotation and tilt of the axis, some areas of the earth are getting more direct transfer of radiation from the sun while others are receiving radiation at more of an angle, and therefore receive less radiation from the sun. This sets up areas of warmer air and areas of cooler air. The warmer air located toward the equator will try to transfer its energy by convection currents to the cooler air at the poles. So you basically have cooler air sinking and warmer air rising toward each other all over the earth. Winds can also be set up by various landscape features like lakes and such. Water tends to take longer to heat, but also it holds heat longer, so it will be warmer at the end of the day because less convection will have occurred between it and the air. Land tends to heat up quickly, but it also convicts its heat more quickly too. So you end up with air cooler over the land and warmer over the water and then a convection current between the two with the warm air flowing toward the land. This also can occur with varying elevations where heat energy is transferred more quickly and lost at higher elevations and transferred less quickly at lower elevations again causing unequal heating and convection currents. "

2. Describe three different heat transfer processes that occur inside your oven. Explain how these affect how you use your oven.

One group said:
" OK let's say we are making some yummy peanut butter cookies. One heat transfer process that occurs in my oven would be conduction. The metal rack gets hot and then conducts that heat energy to the cookie sheet because it is cooler. The cookie sheet then conducts heat energy to the cookies. A second heat transfer process that would be convection currents set up by the air furthest away from the source of heat cooling down and sinking and the air closest to the source of heat heating up by convection and rising. So the cookies near the edge would be getting a little more heat transfer due to air convection currents. A final heat transfer process would be radiation from the heat source like infrared waves of energy. If any of the cookies had some turned up edges then they would be more prone to the radiation transfer. "

A comment on this discussion:
Radiation is probably more important than we realize. When my wife makes an apple pie, she puts little aluminum foil bits on the edge of the crust half-way through the baking, to prevent this part from getting scorched. Aluminum is a very good conductor, so this seems the wrong thing to do. But it does reflect light, and so perhaps it is keeping the radiated infrared light away. (A different explanation would be that the hot convection currents are blocked by the aluminum foil. The foil gets hot, but now there is a thin layer of air between the foil and the pie crust that acts like a kind of insulation. I don't think this is the right explanation, but we really need an experiment to find out. A pie-making experiment!) Because convection does play an important role, we have to be careful not to block air flow in the oven. When I bake bread (6 loaves at a time) I space them out in the oven for this reason.

Conversion of Other Forms of Energy into Thermal Energy

1. Give five examples of energy of other forms being converted into thermal energy that can be detected or sensed as a rise in temperature. For at least two of these, verify experimentally that the energy transferred is indeed large enough to be detected with the thermal sensing sheets.

One group said:
" A. When you start a fire you are taking the stored up chemical energy in the wood and providing enough energy to activate it. The chemical energy is in turn transformed into thermal energy. This can be felt by the warmth of the fire.

B. Take a container half full of sand and shake it up for a minute. The container will feel warm and it does transfer energy to the thermal sensing sheets causing a color change. The transformation of energy in this example involves nuclear energy from sun transformed into chemical energy by photosynthesis, chemical energy transformed into kinetic energy, transformed into thermal energy.

C. Nuclear energy from sun, chemical energy from coal, transformed into electrical energy transformed into light energy, transformed into heat energy in an overhead projector. The thermal sensing sheets detect the warmth in this situation.

D. Drop a book from a meter distance above the ground. Transformations include nuclear energy from sun, chemical energy from food to lift book up, transformed into potential energy, transformed into kinetic energy, transformed into thermal energy.
Measuring this might be hard, but you could try the same method as described in the very first page of this section, where you whack a board with a hammer and then look at the place you hit with the thermal sensing sheet.

E. Rub hands together. We are transforming chemical energy (from the food we eat) into thermal energy. The thermal sensing sheets definitely detect the thermal energy. "

Phase Changes

Under what conditions would you expect to encounter fog? Give both some examples and a general description of the necessary circumstances in terms of what you have learned in this unit.

One group said:
"Fog forms when moist air near the earth's surface is chilled so that its water vapor condenses. The air temperature must be at or below the dew point for the water vapor in the air to condense. Fog appears when wind blows warm moist air over a cold surface. For any given temperature, there is a definite limit to the amount of water vapor the air can hold. The warmer the air, the more moisture it can hold before it becomes saturated. Fog forms when moist air is cooled below its saturated temperature which is the dew point. Fog usually occurs over colder surfaces such as water (rivers, lakes, oceans). At night radiation can cool the air over rivers and lakes to make foggy mornings. We had fog form here last week as warm air moved over the snow during the afternoon hours just as it started to rain. "

An excellent discussion.
* I see fog in the morning in river vallies. The air has cooled (by radiation) and the water is still warm (from yesterday, perhaps).
* I see fog over my coffee cup. The water is hot and is evaporating; as it meets the room air, it is cooled below the dew point and makes fog; but then as it mixes with the room air, the fog droplets evaporate again, because the humidity in the air was not 100%.
* An jet plane contrail is a kind of fog. The jet burns hydrocarbon fuel, which produces carbon dioxide and water vapor, that comes out in the exhaust. Up where the plane is flying it is extremely cold, and so the water vapor condenses immediately into tiny water drops.
* When I open the refrigerator door I encounter fog, which is caused by the warm moist kitchen air meeting the cold air from the refrigerator.

Early one sunny spring morning Carol walked outside in the grass and got her shoes wet because dew had collected on the grass. A few days later however, she walked outside at the same time and her shoes stayed dry -- there was no dew on the grass that morning. Explain some environmental factors that led to these two different occurrences.

One group said:
" Dew forms when moist air is cooled by direct contact with cold objects out in the open (condensation). Blades of grass (and other things) receive heat from the sun during the day by radiation. These objects lose the heat again at night. The air then deposits excess moisture as dew onto the grass. The first morning could have followed a clear night, while the second day followed a cloudy one. Dew forms best on clear nights because objects (grass) lose heat faster. The air may have also contained more moisture on the first night than on the second. "

An excellent discussion!
Perhaps they should have mentioned that the objects lose the heat again at night due to radiation -- this would have clarified the mention of the role of cloudiness.

Air itself doesn't radiate very well. It is transparent, and there is a rule that things that don't absorb light also don't radiate light (there is a tiny asterisk here, because air does absorb infrared light to a certain extent -- eventually this is what the greenhouse effect is all about. But on clear nights a reasonable fraction of the infrared light emitted by the ground escapes completely through the atmosphere). So it is the ground and stuff on the ground that does most of the radiating. A grass blade is radiating, but is insulated from the ground below it by the layer of air beneath it. The grass blade gets really cold. The air beneath the grass is damp, because it is in contact with the ground. Condensing water out of the air releases energy and helps warm up the grass blade; it causes more water to evaporate from ground, which cools down the ground.

Dew does not form as readily on a sidewalk as it does on the grass, because the sidewalk is a relatively good thermal conductor -- you have to cool down the whole slab, which involves removing a lot of energy. The sidewalk doesn't get as cold as the grass.

How Temperature and Energy are Related

Give 5 examples of energy of other froms being converted into thermal energy, that can be detected or sensed as a rise in temperature. For at least two of these, verify experimentally that the energy transferred is indeed large enough to be detected with the thermal sensing sheets.


One group said:
" Five examples of energy of other forms are: kinetic, potential, light, electrical, and chemical. We verified kinetic with the energy conversion activity #1-tiles. By using the white, black and green tiles, and holding them in a closed hand, we determined the following: white tile 22 degrees C, black tile 28 degrees C, green tile 28 degrees C. Another verification was the desk light. The results were: white tile 32 degrees C, black tile 28 degrees C, green tile 32 degrees C. Hand rubbing is kinetic energy being converted to thermal energy. Rubbing with fabric is kinetic energy being transformed into thermal energy. Hot water is potential & kinetic being transformed into thermal energy. Sunshine is light energy being transformed into thermal energy. Electrical devices (PC's) are transforming electrical energy into thermal as a by product (the heat coming off the back of the monitor). Holding the tile in your hand is just the sharing of the thermal energy you already have. You could claim that you keep yourself warm by metabolic processes, that involve turning chemical energy into thermal energy, however.

Comment:
I'm surprised there was that much difference between the temperatures of the tiles that you held in your hand. The energy is being conducted, rather than radiated, and conduction doesn't care much about color (it does care about the material, and different materials are different colors, but the color doesn't imply anything about the ability to conduct. In contrast, dark things always absorb more light -- that's what we mean by dark! -- and so they will warm up more rapidly in a bright light).

It's hard to give an example of potential energy being turned into thermal energy, because what seems like a lot of potential energy turns out not to be very much energy. Dropping a kilogram 1 meter converts 10 Joules of gravitational potential energy into kinetic energy. If this kinetic energy is now turned into thermal energy by having it bonk on the floor, it will only raise the temperature of the object a few thousands of a degree (10 Joules would raise the temperature of 1 gram of water by 2 celsius degrees). This is why the idea that energy is conserved was discovered relatively late (only 150 years ago) -- energy seemed to just disappear. It was there, but you needed a very good thermometer to detect it.

1.The temperature of deserts varies very strongly from day to night; it varies somewhat in inland places; it varies very little near large bodies of water. What are all the factors that that enter into this? Do you have similar examples?

One group said:
" There are many factors that contribute to these things. The predominant factors are: rays from the sun, rotation of the earth on its axis, cloud cover, the atmosphere, and the property of land to heat up and cool down faster than water. Sand and soil absorb thermal energy faster but lose it faster than a liquid does. Parking lots seem to almost "give off" heat during the day but quickly cool at night, this seems to be much like the desert. Possibly the parking lots are reflecting lots of thermal energy, not "giving it off".

Joe Straley commented:
" This question brings together practically everything we have learned -- radiation, convection, conduction, change of phase, and the differing ability of different materials to store thermal energy -- which compete to determine the local equilibrium and establishes the temperature. You could probably write a book about it.
Bodies of water can redistribute energy by convection, and so when you warm the surface water of a lake you are warming a lot of water; but when you warm land you just warm a thin layer at the surface. Conduction carries this energy downwards, but this is not a fast process, and convection carries it upwards, but it doesn't take much energy to heat air, because there is so little stuff there. Parking lots are a good example of how a desert works. In fact, they are worse than deserts, because they tend to be black: this means that they absorb almost all of the sun's energy during the day, and that they radiate better at night.

Another way to pose the question would be this:
1.The temperature of deserts varies very strongly from day to night; it varies somewhat in inland places; it varies very little near large bodies of water. What role is played by these factors:


During the day, radiation delivers energy to the surface of the sand, and the surface is very hot. Convection could play a role in cooling the surface, since hot air likes to rise. The sand is dry, so there is no change of phase. Sand is probably a much better thermal conductor than air, but not incredibly good -- it's cool beneath the surface. The air also gets hot, because it doesn't take much energy to heat air. Only a thin layer at the surface is changing temperature -- so we don't have to move too much energy, to make it hot.

At night, radiation removes energy from the surface of the sand. So the surface would rapidly get cold, except that heat is conducted up from the sand below it, and down from the air above it. The air doesn't have much energy to give, and so it gets cool, too. Convection would not play much of a role here, because it is hot air that rises, and in our case, the cold layer is at the surface . Again, only a thin layer at the surface is changing temperature.

When the sun shines on a lake, the light enters the water. It is absorbed over a range of several yards. So we are trying to warm more stuff. The water can convect, and then we have to warm all the water in the lake, instead of just the surface layer. Finally, water can evaporate, and this is a very effective way to keep something cool. So the body of water is not going to change temperature very much; it will keep the air in contact with it at its temperature; and the nearby regions will also be at the temperature of the lake.

2.Consider a pop-tart fresh from the toaster. You can nibble on the crust, but look out for the filling -- it could burn you. What is the difference between crust and filling that explains this?

One group said:
" A poptart cooks much like a turkey in the oven, mostly by convection. The poptart cooks from the outside in. The filling is the last to heat up and the last to cool down. The crust is full of air pockets as many breads are. The crust does get very hot but it also cools very quickly due to these pockets and the fact that it is in contact with the outside surrounding. The filling in the center is made of a different material. This material almost acts like a metal in that it conducts the thermal energy directly into your skin (tongue, etc.). The filling seems to be more dense than the crust and also seems to have fewer air pockets so that it cools slower and it is inside the "pocket" of crust. It acts more like a liquid than a solid, and alot like the metal rack in your conventional oven. "

Joe Straley commented:
" OK! I would quibble about two points: (1) The toasters I know about have brightly glowing wires; radiation is surely an important part of the energy transfer (which is why the toast only gets done on one side if one bank of the wires isn't working -- this seems to happen to my toasters a lot). (2) In addition to conduction, we need to think about how much thermal energy the different parts store. The crust has a lot of air, which isn't going to store much energy, while the filling is dense stuff that can store a lot of energy. Even if you cut the pop-tart in two and wait a minute, the filling may be dangerous -- it's going to take a while for all that energy to escape. "

Another group said:
"The pop-tart crust doesn't have as much heat capacity. (The atoms are spread farther apart.) The filling is more dense, has a greater heat capacity and thus holds the heat longer. It will burn you faster and to a greater extent. "

Joe Straley commented:
"That's the essential point. The other group's discussion mentioned everything but the heat capacity -- yours is more to the point, but they have brought up some other issues that are also relevant. "

Irreversibility

This section goes beyond what is usually taught in precollege science. I put it in because I think it is really interesting and important; I don't think we understand temperature and heat until we can explain why equilibrium takes place; the question about the temperature of a damp object gets us down to the question of what equilibrium really is and how equilibration works. I'll admit that it is conceptually more difficult than the other sections, but I think it is something that everyone needs to understand.

1.When we place objects of different temperatures in a room, they usually come to the same temperature. But a damp object, even if it starts at room temperature, becomes cooler than the room. Explain how the Second Law of Thermodynamics accounts for both of these observations.

One group said:
" It has to evaporate from the damp object because according to the second law things go from order to disorder. It would definitely be more ordered if the water molecules all stayed in one place, and the Second Law doesn't like that. "

Another group said:
" The Second Law of Thermodynamics states that things move from order to disorder, so some of the moisture from the damp object will evaporate, thus cooling the towel. But with some of the water molecules in the surrounding air disorder has been achieved. "

Joe Straley commented:
"That is indeed the point. The Second Law is about sharing, and there are many kinds of things that can be shared -- there are many ways to become more disordered. When the temperatures of objects are the same, we have reached the largest disorder that can the attained by moving energy around. So things tend to come to the same temperature. But having all the water here and none there is ordered; evaporating some of the water changes the order a lot, and its OK to make the temperatures different to accomplish this.

It is not immediately obvious that we get a big change in the amount of disorder by evaporating a little water. The point is that the concentration of water in the air and in the wet blanket is very very different, while the concentration of energy is about the same. Think of it this way: even one little fingerprint on your glass coffee table would be very noticeable, a significant disordering of it. Yet I have frequently managed to lose the telephone book, my stapler, and an overripe banana on my desk top, because this did not significantly increasing its disorder. In the same way, there is a lot of energy in the glass and in the air, and to make the temperature of these different only slightly changes the amount of disorder; but the sharing of water is very unequal and evaporating a little bit of water makes a big change to the disorder. So water evaporates, even though this makes the wet blanket a little cooler than the room. "

2.Use the Second Law of Thermodynamics to explain why recycling of bottles, cans, batteries, newspapers, ...is a good idea.

One group said:
" It is better to recycle because it does conserve energy. It would take more energy to produce something, (say newspapers, aluminum cans, etc.) from scratch than to recycle.When we produce something such as a can, it must be very ordered. Which is against our law here. When we recycle we must still put it in order, but we don't have to start from complete and total disorder. When we recycle, our beginning product is already slightly ordered, we just have to change it some to make it as ordered as a can or newspaper must be. "

Another group said:
" By recycling we are trying to restore order to disorder. The Second Law of Thermodynamics states that systems never spontaneously move from disorder to order, but we intervene so disorder to order is not spontaneous."

Another group said:
"It takes less energy to recreate the recycled objects than it does to start from raw materials. Thus from disordered structures to ordered structures takes more energy than producing ordered structures from other ordered structures, we should recycle. Since systems never proceed from disorder to order without applying additional energy it is easier to maintain order from order with less energy. "

Joe Straley commented:
" These are all good discussions. I'd say it this way: at a certain point I have a bottle, a can, a newspaper, some coffee grounds, a melon rind, and the tuna that got lost in the refrigerator. Recycling involves keeping parts of these separate, so that eventually I have a pile of bottles, a pile of cans, and a stack of newspapers that didn't go out with the garbage. These have value, and I have preserved their value by maintaining order: I kept them separate. The alternative is to throw them all in one big can, and now they are garbage. This makes the universe less ordered, and according to the Second Law, this is irreversible. They can be separated, but this will require an effort -- a cost. "

3.Design an experiment to compare the ability of different chemicals to produce subzero temperatures by mixing with ice. In addition to salt there are many other chemicals in the kitchen: sugar, flour, alum, baking soda, cream of tarter, laundry detergent, ... . (Do you suppose red pepper is really hot?). Pick a few of these, trying to predict which is going to work the best (or you could deliberately include one that you think will not have much effect). Of course, your predictions should be based on the Second Law of Thermodynamics!

One group said:
" We set up an experiment to see what household items would produce subzero temperatures. We mixed table salt and ice and the temperature was -12 C. Baking Soda and ice was -1 but it is too close to 0 degrees C to really know if it is sub-zero. The alcohol and ice is -8 C. Alum and ice had a temperature of -2 C. Sugar and Ice had a temperature of O degrees C. Aquarium salt for our fish tank melted the ice super fast. The temperature dropped extremely quick to a -16 degrees C. WOW!!!! "

Comment by Joe Straley:
"The origin of this effect is that the frozen water wants to mix with the stuff you have added, because this will make the universe less ordered. But the salt (or whatever you use) can't fit into the ice, because this has a structure where every molecule is supposed to be in a certain place. So first the ice has to melt. Doing this requires pulling the molecules apart, which requires energy. The energy comes from the kinetic energy of the molecules (which were vibrating against each other) -- the temperature goes down. The effect will be biggest when the solution around the ice is very concentrated with the dissolved material, because then having the ice melt dilutes it more and makes the universe more disordered faster.

Salt dissolves in water for the same reason -- it makes the universe more disordered. It is again true that the water can't fit into the salt crystal, and that it takes some energy to pull the salt atoms apart. We get a hint about the amount of energy that is involved by looking at how much of the stuff will dissolve. We get a big effect with table salt because it is rather soluble in water.

A variable that confuses this experiment a bit is that some materials dissolve slowly (especially if they are in big lumps). Then the solution is initially not very saturated, and perhaps never becomes very concentrated if some of the ice is melting due to heat leaking in. This will not give as big a temperature lowering effect.