Question

A monoatomic gas undergoes a polytropic process which is defined by expression PV³ = constant. The molar specific heat capacity of the gas will be (R is universal gas constant) A) R B) 2R C) 3R D) 2/R​

Answer 1

The process is described by:

PV³=const

Hence it is a polytropic process.

as in polytropic process:

PVᵃ=const

C=Cv+R/(1-a)=3R/2+R/(-2)=R

C=R

Answer 2

Answer:

a).r

Explanation:

given that

$p {v}^{3} = constant \: \: \: \: (1)$

$we \: know \: that \: for \: polytrophic \: \\ p {v}^{n} = constant \\ implies \: that \: c = cv + \frac{r}{(1 - 3)} \\ \: so \: from \: (1) \: we \:have \: n = 3 \\ \\ then \\ c = cv + \frac{3r}{2} + \frac{r}{2} \\ that \: is \: c = \frac{3r - r}{2} \\ so\\c = r \\ therefore \: (a) \: is \: correct.$

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