One mole of an ideal monatomic gas undergoes a linear process from $A$ to $B$, in which is pressure $P$ and its volume $V$ change as shown in figure. The maximum temperature of the gas during this process is

 

Molar heat capacity of an ideal gas in the process PV^x = constant is given by

             $\text{C}=\frac{\text{R}}{\text{γ}-1}+\frac{\text{R}}{1-\text{x}}$

An ideal diatomic gas with ${\text{C}}_{\text{V}}=\frac{5\text{R}}{2}$  occupies a volume V₁ at a pressure P₁ . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value.

Heat supplied to the gas in the given process is

Container shown has two identical sections with a common wall between them which does not allow gas to leak through. Both sections contain helium gas with $2 \mathrm{g}$ in compartment $X$ and $1 \mathrm{g}$ in compartment $Y.$ The two halves of the container are at the same temperature. Which of the following is the same for the gas in the two section $X$ and $Y?$