Q 31 :    

A monoatomic gas having $\gamma =\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to ${\left(\frac{1}{8}\right)}^{\mathrm{th}}$ of its initial volume. The ratio of final pressure and initial pressure is: ($\gamma$ is the ratio of specific heats of the gas at constant pressure and at constant volume)          [2025]

• 16

   

• 40

   

• 32

   

• 28

   

Q 32 :    

An ideal gas initially at 0°C temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/2, the change in temperature due to the thermodynamics process is ________ K.          [2025]

Q 33 :    

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ________ $\times {10}^{–1 }\mathrm{J}$. (Take $\pi$ = 3.14)          [2025]