First slide

Different type of processes

Question

During an adiabatic process of an ideal gas, if p is proportional to $\frac{1}{V^{1.5}}$ then the ratio of specific heat
capacities at constant pressure to that at constant volume for the gas is

Moderate

A

1.5
B

0.25
C

0.75
D

0.4

Solution

Given, $p \propto \frac{1}{V^{L 5}}$
So, $p V^{1.5} \propto constant$
As the value of $γ = 1.5$ for adiabatic process, so
$\frac{C_{p}}{C_{V}} = γ = 1.5$

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