$P-V$ diagram of an ideal gas is as shown in figure. Work done by the gas in process $ABCD$ is
$4P_0V_0$
$2P_0V_0$
$3P_0V_0$
$P_0V_0$
An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$. The total work done is $W$. Then
During an adiabatic process, the volume of gas is found to be inversely proportional to the cube of its temperature. The ratio of $\frac{{{C_p}}}{{{C_v}}}$ for the gas is
In the $P-V$ diagram shown, the gas does $5\,J$ of work in isothermal process $ab$ and $4\,J$ in adiabatic process $bc$ . .... $J$ will be the change in internal energy of the gas in straight path $c$ to $a$ ?
An engine is supposed to operate between two reservoirs at temperature $727^oC$ and $227^oC.$ The maximum possible efficiency of such an engine is
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 $\gamma = \frac{3}{2}$)