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Assign17

# Assign17 - PHY 53 Summer 2010 Assignment 17 1 We take the...

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Assignment 17 1. We take the expansion steps in the last problem of Assignment 16 and add steps to make a cycle. The first step starts with one mole of an ideal gas at pressure P 0 and volume V 0 (and therefore temperature T 0 = P 0 V 0 / R ). Express all energy quantities as multiples of RT 0 . a. The gas is heated at constant volume until the pressure is 2 P 0 . What are the new temperature and volume? How much work is done by the gas? How much heat is taken in? b. The second step in one from the earlier problem, adiabatic expansion until the pressure is back to P 0 . Answer the same three questions. c. The final step takes the gas back to the initial state, compressing it at constant pressure. Answer the same three questions. d. Plot the cycle carefully on a P-V diagram. 2. Repeat the above problem, except that the second step is now isothermal expansion to pressure P 0 . 3. Repeat the above problem, except that the second step is represented on a P-V diagram by a straight line ending with pressure P 0 and volume 2 V 0 .

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