In a cylinder, a sample of an ideal gas with number of

Chapter 21, Problem 58

(choose chapter or problem)

In a cylinder, a sample of an ideal gas with number of moles n undergoes an adiabatic process. (a) Starting with the expression W 5 2e P dV and using the condition PV g 5 constant, show that the work done on the gas is W 5 a 1 g 2 1 b 1PfVf 2 Pi Vi 2 (b) Starting with the first law of thermodynamics, show that the work done on the gas is equal to nCV(Tf 2 Ti). (c) Are these two results consistent with each other? Explain.

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