$A$ sample of gas expands from volume ${V_1}$ to ${V_2}$. The amount of work done by the gas is greatest when the expansion is

Two containers $A$ and $B$ with pistons contain a diatomic gas at $300\, K$. The piston in container $A$ is free to move,while the piston in container $B$ is fixed. Both containers are supplied with the same amount of heat. If the temperature in container $A$ increases by $30\, K$,by how many $K$ will the temperature in container $B$ increase? Both containers contain the same gas.

$A$ diatomic ideal gas undergoes a thermodynamic change according to the $P-V$ diagram shown in the figure. The heat given to the gas in process $AB$ is: (in $, P_0 V_0$)

In thermodynamics,for an isochoric process,which one of the following statements is $INCORRECT$?

The ratio of work done by an ideal rigid diatomic gas to the heat supplied to the gas in an isobaric process is (in $/7$)

$10 \text{ mole}$ of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from $P_1$ to $P_2$ at constant volume $V = 1 \text{ m}^3$ is $\alpha \text{ Joule}$ ($P_1 = 21.7 \text{ Pa}$, $P_2 = 30 \text{ Pa}$, $C_v = 21 \text{ J/K} \cdot \text{mol}$, $R = 8.3 \text{ J/mol} \cdot \text{K}$). The value of $\alpha$ is . . . . . . .