Solveeit Logo
Login

Question

Question: During an adiabatic process, the pressure of a gas is found to proportional to the cube of its absol...

During an adiabatic process, the pressure of a gas is found to proportional to the cube of its absolute temperature. The ratio CP/CV for the gas is –

A

43\frac { 4 } { 3 }

B

2

C

53\frac { 5 } { 3 }

D

32\frac { 3 } { 2 }

Answer

32\frac { 3 } { 2 }

Explanation

Solution

For adiabatic process

P ∝ Tγγ−1\mathrm { T } ^ { \frac { \gamma } { \gamma - 1 } } & as in question

P ∝ T3

\ γγ−1\frac { \gamma } { \gamma - 1 } = 3

\ γ=32\gamma = \frac { 3 } { 2 }