Problem

An ideal gas undergoes two processes in a piston-cylinder device as follows:1–2 - Polytrop...

An ideal gas undergoes two processes in a piston-cylinder device as follows:

1–2 - Polytropic compression from 71, and P, with a polytropic exponent  n  and a compression ratio of r = V1/V2.

2–3 Constant pressure expansion at P3 = P2until V3=V1.

(a) Sketch the processes on a single P-Vdiagram.


(b) Obtain an expression for the ratio of the compression-to-expansion work as a function of nand r.


(c) Find the value of this ratio for values of n= 1.4 and r =6.

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