Work done for the process shown in the figure is ............ $J$

One 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 ............ $kJ$.

The net work done by an ideal gas going through the cycle as shown in the $P-V$ diagram below is

$A$ thermodynamic process is shown in the figure. The pressure and volume at the points shown in the figure are as follows:
$P_A = 3 \times 10^{4} \text{ Pa}, V_A = 2 \times 10^{-3} \text{ m}^3, P_B = 8 \times 10^{4} \text{ Pa}, V_D = 5 \times 10^{-3} \text{ m}^3.$
In process $AB$, $600 \text{ J}$ of heat is added to the system, and in process $BC$, $200 \text{ J}$ of heat is added. The change in internal energy during the process $AC$ is: (in $\text{ J}$)

The figure shows the $P-V$ plot of an ideal gas taken through a cycle $ABCDA.$ The part $ABC$ is a semicircle and $CDA$ is half of an ellipse. Then,

$A$ given mass of a gas expands from a state $A$ to the state $B$ by three paths $1, 2$ and $3$ as shown in the $T-V$ indicator diagram. If $W_1, W_2$ and $W_3$ respectively be the work done by the gas along the three paths,then