Question 11

An ideal monatomic gas of $n$ moles is taken through a cycle $WXYZW$ consisting of consecutive adiabatic and isobaric quasi-static processes, as shown in the schematic $V-T$ diagram. The volume of the gas at $W, X$ and $Y$ points are, $64\text{ cm}^3$, $125\text{ cm}^3$ and $250\text{ cm}^3$, respectively. If the absolute temperature of the gas $T_W$ at the point $W$ is such that $nRT_W = 1$ J ($R$ is the universal gas constant), then the amount of heat absorbed (in J) by the gas along the path $XY$ is ____