A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,

Check the statement are trrue or false :

$1.$ The change in internal energy $\Delta U = 0$ in a cyclic process.

$2.$ In an adiabatic process temperature remains constant.

$3.$ The internal energy of a system during isothermal process decreases.

In the following figure, four curves $A, B, C$ and $D$ are shown. The curves are

Starting at temperature $300\; \mathrm{K},$ one mole of an ideal diatomic gas $(\gamma=1.4)$ is first compressed adiabatically from volume $\mathrm{V}_{1}$ to $\mathrm{V}_{2}=\frac{\mathrm{V}_{1}}{16} .$ It is then allowed to expand isobarically to volume $2 \mathrm{V}_{2} \cdot$ If all the processes are the quasi-static then the final temperature of the gas (in $\left. \mathrm{K}\right)$ is (to the nearest integer)

In which of the following processes, heat is neither absorbed nor released by a system ?