An ideal gas undergoes a cyclic process as shown in the diagram. The net work done by the gas in the cycle is

An ideal gas is taken through a quasi-static process described by $P = \alpha V^2$,where $\alpha = 5 \text{ atm}/m^6$. The gas is expanded to twice its original volume of $1 \text{ m}^3$. How much work is done by the expanding gas in this process?

The $P-V$ diagram of an ideal gas is as shown in the figure. The work done by the gas in the process $ABCD$ is:

$A$ quantity of monoatomic gas undergoes a process in which pressure is changed linearly with volume. The pressure and volume are changed from initial value $(P_{o}, V_{o})$ to final value $(3 P_{o}, 3 V_{o})$. The heat absorbed by the gas during the process is (in $P_{o} V_{o}$)

$A$ sample of gas expands from $V_1$ to $V_2$. In which of the following processes will the work done be greatest?

An ideal gas goes from state $A$ to state $B$ via three different processes as indicated in the $P-V$ diagram. If $Q_1, Q_2, Q_3$ indicate the heat absorbed by the gas along the three processes and $\Delta U_1, \Delta U_2, \Delta U_3$ indicate the change in internal energy along the three processes respectively,then