A monoatomic gas at a pressure $P$, having a volume $V$ expands isothermally to a volume $4V$ and then adibatically to volume $16\, V$. The final pressure of the gas is (Take $\gamma  = \frac{3}{2}$)

An ieal heat engine operates on Carnot cycle between $227\,^oC$ and $127\,^oC$. It absorbs $6 \times 10^4\, cal$ at the higher temperature. The amount of heat converted into work equals to

A carnot engine, having an efficiency of $\eta  = 1/10$ as heat engine, is used as a refrigetator. If the work done on the system is $10\,J$ , the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$

The heat energy absorbed by a system in going through a cyclic process shown in figure is

In a thermodynamic process helium gas obeys the law $TP^{-2 /5} =$ constant. The heat given to the gas when the temperature of $2$ moles of the gas is raised from $T$ to $4T$ $(R$ is the universal gas constant) is :-

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $C_P / C_V$ for the gas is