A polyatomic gas $\left ( \gamma =\dfrac{4}{3} \right )$ is compressed to $\dfrac{1}{8}$ ;of its volume adiabatically. If its initial pressure& ; is P, the new pressure will be

A gas expands isthermally an reversibly.The work done by the gas is ______.

Two spheres $A$ and $B$ with masses in the ratio $2 : 3$ and specific heat $2 : 3$ fall freely rest. If the rest in their temperatures on reaching the ground in the ratio $1 : 2$ the ratio of their heights of fall is:-

An ideal gas $A$ and a real gas $B$ have their volumes increased from $V$ to $2V$ under isothermal conditions.The increase in internal energy

An ideal monoatomic gas undergoes expansion according to $P=bV$,Where 'b' is a constant.Molar heat capacity of gas in the process is