IMonSep15

IMonSep15 - Thermodynamics The top is-well, one side is a...

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1 Thermodynamics “The top is--well, one side is a sheer rock cliff and the other side is a steep slope of snow and the top itself is a track of footprints in the snow at the edge of the cliff. If your right foot slips, you end up in Switzerland. If your left foot slips, you end up in Italy. It's not a place to linger. A moment for the thrill of looking down on snow-capped peaks, a few pictures, and half a candy bar, and we began our descent.” 14,690 feet
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2 Interpretation The derivative of energy with respect to volume is equivalent to a force per unit area. Force per unit area is pressure and the pressure represented by this term is known as the internal pressure. This whole term represents the energy required to expand the gas against the cohesive forces within the gas. For an ideal gas this term is zero. + = - P V U T V C C T P V P T P V U T V
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3 Finally C P -C V So for one mole of an ideal gas For any moles of gas So this last equation simplifies to For one mole of gas P T V C C P V P = - P RT V = P R T V P = nR C C R C C V P V P = - = - and
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C P and C V For liquids and solids C P and C V are usually quite similar but for gases they are significantly different. H = U + PV
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IMonSep15 - Thermodynamics The top is-well, one side is a...

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