ThermodynamicsHardBloom L3

Question

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The Poisson’s ratio of gas is

Options

A.3/2
B.7/2
C.5/3
D.9/7

Solution

$P \propto T^{3} \Rightarrow P \propto \left( \frac{PV}{nR} \right)^{3} \Rightarrow PV^{3/2} = \text{ Constant}$

$\Rightarrow \gamma = \frac{3}{2}$

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