# A9_s_ - PHYS 258 Thermal Physics Student ID Assignment 9...

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PHYS 258 - Thermal Physics: Assignment 9 Due Monday March 21 Student ID: Full Name: Mark_______/20__ 1. [7] Carnot Cycle Efficiency. a) [4] Prove directly (by calculating the heat absorbed and the heat expelled during one cycle) that a Carnot engine using an ideal gas as a working substance has an efficiency of 1- T C /T H . (At an intermediate step you should get a ratio of two logarithmic terms, which can be simplified using the fact that the two processes on the left and right sides of the Carnot cycle are adiabatic.) T C rejects heat absorbs heat 4 3 2 1 T H V P b) [3] Usually efficiency is calculated using (P,V) diagram (a), but sometimes it is more convenient to do in differently. Plot schematically the Carnot Cycle in (S, T) diagram and calculate efficiency using that diagram.

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2. [10] Rectangular Cycle Heat Engine. A quantity of ideal diatomic gas undergoes the rectangular cyclical process shown in the figure. Suppose that this system is used as a heat engine to convert a portion of the
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A9_s_ - PHYS 258 Thermal Physics Student ID Assignment 9...

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