Wednesday Feb. 25, 2009
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Some more music from Calexico's concert at the Barbican Theatre in London.  Today it was Lulu Olivares from Mariachi Luz de Luna singing Aires del Mayab.

The Expt. #2 reports are due next Monday.  Try to get your materials back by Friday so that you can pick up the Supplementary Information sheet.

All of the Radon Bonus 1S1P reports have now been graded.


Water has a relatively high specific heat.  Here's a situation where that property has some practical application.




This is one of my recently planted tomatoes.  The weather has been very warm lately but there is no guarantee that will continue (do you remember the cold front video shown in class?  It snowed in early April in Tucson).  In order to protect the tomatoes from freezing weather or frost you can surround them with a "wall of water."




The thin tubes are all filled with water.  The teepee like structure stays warm because of water's high specific heat.  Nighttime temperatures can drop into the 20s and the tomato inside will be protected.


Because air has such a low thermal conductivity it is often used as an insulator.  It is important, however, to keep the air trapped in small pockets or small volumes so that it isn't able to move and transport energy by convection (we'll look at convection shortly).  Here are some examples of insulators that use air:


Foam is filled with lots of small air bubbles


Thin insulating layer of air in a double pane window



Hollow fibers (Hollofil) filled with air used in sleeping bags and winter coats.  Goose down works in a similar way.


Convection was the next energy transport process we had a look at.  Rather than moving about randomly, the atoms or molecules move as a group.  Convection works in liquids and gases but not solids. 


At Point 1 in the picture above a thin layer of air surrounding a hot object has been heated by conduction. Then at Point 2 a person (yes, that is a drawing of a person's head) is blowing the blob of warm air off to the right.  The warm air molecules are moving away at Point 3 from the hot object together as a group (that's the organized part of the motion).  At Point 4 cooler air moves in and surrounds the hot object and the whole process can repeat itself. 

This is forced convection.  If you have a hot object in your hand you could just hold onto it and let it cool by conduction.  That might take a while because air is a poor conductor.  Or you could blow on the hot object and force it to cool more quickly.  If I had put a small fan behind the curry powder demonstration the other day it would probably have spread the smell faster and further out into the classroom.


A thin layer of air at Point 1 in the figure above (lower left) is heated by conduction.  Then because hot air is also low density air, it actually isn't necessary to blow on the hot object, the warm air will rise by itself (Point 3).  Energy is being transported away from the hot object into the cooler surrounding air.  This is called free convection and represents another way of causing rising air motions in the atmosphere (rising air motions are important because rising air expands as it moves into lower pressure surroundings and cools.  If the air is moist, clouds can form).  Cooler air moves in to take the place of the rising air at Point 4 and the cycle repeats itself.

The example at upper right is also free convection.  Room temperature air in contact with a cold object loses energy and becomes cold high density air.  The sinking air motions that would be found around a cold object have the effect of transporting energy from the room temperature surroundings to the colder object.

In both examples of free convection, energy is being transported from hot toward cold.


Now some practical applications of what we have learned about conductive and convective energy transport.  Energy transport really does show up in a lot more everyday real life situations than you might expect.



Note first of all there is a temperature difference between your hand and a 70 F object.  Energy will flow from your warm hand to the colder object.  Metals are better conductors than wood.  If you touch a piece of 70 F metal it will feel much colder than a piece of 70 F wood, even though they both have the same temperature.  A piece of wood and a piece of aluminum were passed around class so ou could check this out for yourself.  A piece of 70 F diamond would feel even colder because it is an even better conductor than metal. 

Something that feels cold may not be as cold as it seems. 
Our perception of cold is more an indication of how quickly our hand is losing energy than a reliable measurement of temperature.

Here's a similar situation.


It's pleasant standing outside on a nice day like this in 70 F air (that's what many of your fellow students are doing instead of sitting in class).  But if you jump into 70 F pool water you will feel cold, at least until you "get used" to the water temperature (your body might reduce blood flow to your extremeties and skin to try to reduce energy loss).

Air is a poor conductor.  If you go out in 40 F weather you will feel colder largely because there is a larger temperature difference between you and your surroundings (and temperature difference is one of the factors that affect rate of energy transport by conduction). 

If you stick your hand into a bucket of 40 F water (I would suggest you give it a try sometime), it will feel very cold (your hand will actually soon begin to hurt).  Water is a much better conductor than air.  Energy flows much more rapidly from your hand into the cold water. 

The next 2 figures weren't shown in class.


Ice feels cold even though it is not a particularly good conductor.  This is because of the large temperature difference between your hand and the water.

What about liquid nitrogen?  It has a temperature of -320F!  You can safely stick your hand in liquid nitrogen for a fraction of a second.  It doesn't feel particularly cold and doesn't feel wet.  Some of the liquid nitrogen quickly evaporates and surrounds your hand with a layer of nitrogen gas.  This gas is a poor conductor and momentarily insulates your hand from the cold.


Now we're in a perfect position to understand wind chill.

If you go outside on a 40 F day (calm winds) you will feel cool; your body is losing energy to the colder surroundings (by conduction mainly).  Your body works hard to keep its core temperature around 98.6 F.  A thermometer behaves differently.  It actually cools to the temperature of the surroundings.  Once it reaches 40 F it won't lose any additional energy.


If you go outside on a 40 F day with 30 MPH winds your body will lose energy at a more rapid rate (because convection together with conduction are transporting energy away from your body).  This higher rate of energy loss will make it feel colder than a 40 F day with calm winds. 

Actually, in terms of the rate at which your body loses energy, the windy 40 F day would feel the same as a calm 28 F day.  Your body is losing energy at the same rate in both cases.  The combination 40 F and 30 MPH winds results in a wind chill temperature of 28 F. 

The thermometer will again cool to the temperature of its surroundings, it will just cool more quickly on a windy day.  Once the thermometer reaches 40 F there won't be any additional energy flow.   The thermometer would measure 40 F on both the calm and the windy day.

Standing outside on a 40 F day is usually not a life threatening situation.  Falling into 40 F water is. 


Energy will be conducted away from your body more quickly than your body can replace it.  Your core body temperature will drop and bring on hypothermia. Be sure not to confuse hypothermia with hyperthermia which can bring on heatstroke and which is also a serious outdoors risk in S. Arizona.


At this point I showed a picture from the March 2005 issue of National Geographic. A Buddhist monk was standing in a frigid waterfall.  The caption for the photograph read "To focus the mind and increase awareness of self, Shingon Buddhists like Souei Sakamoto practice takigyo,chanting for hours while standing in frigid waterfalls at the Oiwasan Nissekiji Temple in Toyama, Japan."  (I can't really scan the photograph and include it in the classnotes because of copyright laws)

A second photograph from the December 2005 issue showed a monk hanging from a tree by his feet.  The caption there read "
To see life as it truly is - that's the goal of a student in China who strengthens mind and body under the rigorous tutelage of a Shaolin kung fu master."

Perhaps the most amazing example of a physical and mental task is the 1000-day challenge undertaken by the "marathon monks" of Mount Hiei, Japan.

I hope you don't mind an occasional digression like this.  I spend a lot of time riding my bicycle uphills.  It's not really painful but can definitely be uncomfortable.  I've noticed that you can sometimes be distracted by a thought and ride a mile or so and completely blank out the discomfort.  With some "Buddhist monk like" training I wonder if maybe I couldn't ride uphill more or less indefinitely and not feel any discomfort at all.  This time of the year it is often a little cool in the morning.  With some mental training I hope be to be able to blank the feeling of cold.  Both are things I'll continue to work on.


Latent heat energy transport was the final topic of the day. 
Energy transport in the form of latent heat is the second most important energy transport process (second only to electromagnetic radiation).  A copper bar was heated earlier in class with a propane torch.   How could you quickly cool the bar off.  The first and probably the best suggestion was to stick it into some water.  The water would conduct away heat but you would probably also hear a  "pssst" when you first stuck the bar in the water.  That would be the sound of boiling (evaporating) water.  A phase change like that would take a lot of energy from the bar and would probably cool the bar in a few seconds.

Latent heat energy transport is sometimes a little hard to visualize or understand because the energy is "hidden" in water vapor or water.


Latent heat energy transport is associated with changes of phase (solid to liquid, water to water vapor, that sort of thing) A solid to liquid phase change is melting, liquid to gas is evaporation, and sublimation is a solid to gas phase change (dry ice sublimates when placed in a warm room, it turns directly from solid carbon dioxide to gaseous carbon dioxide). 

In each case energy must be added to the material changing phase.  You can consciously add or supply the energy (such as when you put water in a pan and put the pan on a hot stove) or the needed energy will be taken from the surroundings (from your body when you step out of a shower in the morning).


When your body starts to lose energy, it feels cold.


A 240 pound man or woman running at 20 MPH has just enough kinetic energy (if you could capture it) to be able to melt an ordinary ice cube.  It would take 8 people running at 20 MPH to evaporate the resulting water.