The given diagram shows an ideal gas taken from state $1$ to $2$ through three different paths $A, B,$ and $C$. Let $Q, W,$ and $\Delta U$ represent the heat supplied to the gas,the work done by the gas,and the change in internal energy of the gas,respectively. Then which of the following conditions is true?

An ideal gas is taken through the process shown in the figure. Which statement is true?

In the following figures $(a)$ to $(d)$,the variation of volume with change of pressure is shown. The gas is taken along the path $A B C D A$. The change in internal energy of the gas will be .......

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 ............ $kJ$.

$A$ 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 $\text{ J}$)

Using the given $P-V$ diagram, the work done by an ideal gas along the path $\text{ABCD}$ is $-$ (in $\text{P}_0 \text{V}_0$)