Figure below shows two paths that may be taken by a gas to go from a state $A$ to a state $C$. In process $AB$, $400\, J$ of heat is added to the system and in process $BC$, $100\, J$ of heat is added to the system. The heat absorbed by the system in the process $AC$ will be ............. $\mathrm{J}$
$500$
$460$
$300$
$380$
A cyclic process $ABCD$ is shown in the given $P-V$ diagram. In the following answer, the one that represents the same process as in $P-T$ diagram is
$P-V$ plots for two gases during adiabatic process are shown. Plots $(1)$ and $(2)$ corresponds to
For free expansion of a gas, which is true
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
Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4\ V$ and then compressed adiabatically to volume $V.$ The final pressure of gas will be (given $\gamma = 3/2)$