$A$ mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure. The change in internal energy of the gas during the transition is ...... $kJ$.

In the cyclic process shown in the figure,the work done by the gas in one cycle is (in $,{P_1}{V_1}$)

Find the work done in the cyclic process $ABCA$ shown in the figure.

The $P-V$ diagram shown below indicates two paths along which a sample of gas can be taken from state $A$ to state $B$. The energy equal to $5PV$ in the form of heat is required to be transferred if Path-$1$ is chosen. How much energy in the form of heat should be transferred if Path-$2$ is chosen?

An ideal monoatomic gas is taken round the cycle $ABCDA$ shown in the $PV$ diagram. The work done during the cycle is

$n$ moles of a van der Waals' gas obeying the equation of state $\left(p+\frac{n^2 a}{V^2}\right)(V-n b)=n R T$,where $a$ and $b$ are gas-dependent constants,is made to undergo a cyclic process that is depicted by a rectangle in the $p-V$ diagram as shown below. What is the heat absorbed by the gas in one cycle?