List all the following that are true about the polytropic process Pv^n = constan

Question

List all the following that are true about the polytropic process Pv^n = constant.

Please show your work.

(a) A polytropic process is always isothermal.

(b) A polytropic process is never isothermal.

(c) A polytropic process is sometimes isothermal. answers not shown

(d) Only ideal gases perform polytropic processes.

(e) Only non-ideal gases perform polytropic processes.

(f) The polytropic exponent, n, is a material property (i.e. only one value of n for air)

(g) The polytropic exponent, n, varies with the rate of heat transfer, Q?

Explanation / Answer

Only statement (c) is true. A polytropic process is isothermal when n=1. So (a) and (b) are false.

n=0 --> Isobaric process.

n=1 --> Isothermal process

n = gamma --> adiabatic process

Polytropic processused to accurately characterize processes of certain systems notably the compression or expansion of a gas and in some cases liquids and gases. So (d), (e) are false. The polytropic exponent, n is different for monoatomic, diatomic and triatomic gases. So (f) is false. It does not vary with rate of heat transfer. So (g) is false

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