The work done by a gas is maximum when it expands from a volume $V_1$ to $V_2$. This expansion is:

Which one of the following equations specifies an isochoric process?
$[Q = \text{heat supplied, } \Delta p = \text{change in pressure, } \Delta V = \text{change in volume, } \Delta T = \text{change in temperature}]$

Two moles of ideal helium gas are in a rubber balloon at $30^{\circ} C$. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $35^{\circ} C$. The amount of heat required in raising the temperature is nearly (take $R = 8.31 \ J / mol \cdot K$) (in $J$)

$A$ monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in changing the internal energy is (in $\%$)

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.

The state of a thermodynamic system changes from $(1)$ $(P_1, V)$ to $(2P_1, V)$ and $(2)$ $(P, V_1)$ to $(P, 2V_1)$. The work done during these two processes is respectively: