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Carnot Cycle for an Ideal Gas

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In our work with the Carnot cycle for an ideal gas, an equation similar to (1) below was derived, where q2 is the heat taken in at T2 and q1 is the heat expelled at T1.

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Solution:
1. From equation 2.42 (p34):

Re-arrange:

Take exponential of both sides:

2. For step 2: going from state 2 to 3
(4)
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