The state of a thermodynamic system changes from $(1)$ $(P_1, V)$ to $(2P_1, V)$ and $(2)$ $(P, V_1)$ to $(P, 2V_1)$. The work done during these two processes is respectively:

In Column-$I$ a graph and in Column-$II$ processes are given. Match them appropriately:

Column-$I$	Column-$II$
$(a)$ Graph $(a)$	$(i)$ Adiabatic process
$(b)$ Graph $(b)$	$(ii)$ Isobaric process
	$(iii)$ Isochoric process

The work done by $6$ moles of helium gas when its temperature increases by $20^{\circ} C$ at constant pressure is (Universal gas constant $R = 8.31 \ J \ mol^{-1} \ K^{-1}$) (in $J$)

Write a note on the isochoric process.

$A$ container having $1 \ mol$ of a gas at a temperature of $27 \ ^oC$ has a movable piston which maintains a constant pressure of $1 \ atm$ in the container. The gas is compressed until the temperature becomes $127 \ ^oC$. The work done is ........ $J$ $(R = 8.31 \ J/mol-K)$.

The work done by a gas is maximum when it expands from a volume $V_1$ to $V_2$. This expansion is: