Physics: Principles and Problems

Chapter 12: Thermal Energy

Problem of the Week

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Latent Heat
The heat of vaporization for water is 2.26 MJ/kg. That means, for 1 kg of water to change from a liquid to a gas, it must absorb 2.26 million joules of energy. The reverse is also true: when 1 kg of water vapor condenses to a liquid, it will release 2.26 million joules of energy. Essentially, water vapor stores a lot of energy, potential energy, called latent heat.
Basically, the sun puts energy into ocean water to make vapor in the atmosphere. Then the vapor puts energy into a tornado as the gas returns to a liquid.

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Tornado Fuel
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0078458137/193800/ch12_tornado.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (7.0K)</a> With wind speeds of 200 mph, a tornado releases tremendous amounts of kinetic energy at the rate of one billion watts. A tornado's power output, however, pales in comparison to its mother thunderstorm that can expend 40 trillion watts of power! The question is, where do storms and tornadoes get all this energy? The answer is latent heat. The average tornado forms as warm moist air begins to rise. Because air pressure falls with height, the rising air expands and cools. At sufficient height, the air is cold enough that the water vapor starts to condense. The trouble now begins; the condensing vapor releases latent heat. Energy flows out into the air, heating it. The warmed air is less dense and starts to rise even faster attaining speeds of 150 mph. As the thunderstorm continues to be fueled by the latent heat of vapor, tornadoes may form.
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0078458137/193800/POWproblem1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> How many gallons of water must condense to fuel a tornado-spawning thunderstorm for half an hour?
 
<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif::::/sites/dl/free/0078458137/193800/POWproblem2.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (0.0K)</a> How large (diameter) would a 25-ft deep lake be to hold all the water calculated in Problem 1?
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. A new window will open.
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