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

Work done by $0.1$ mole of a gas at $27^{\circ}C$ to double its volume at constant pressure is ....... $cal$ $(R = 2 \, cal \, mol^{-1} \, K^{-1})$.

Derive the expression for work done by a gas during an isobaric process (constant pressure).

$A$ gas expands by $0.25 \ m^{3}$ at a constant pressure of $10^{3} \ N/m^{2}$. Calculate the work done.

An ideal gas goes from an initial state to a final state. During the process,the pressure of the gas increases linearly with temperature. Which of the following statements are correct?
$A.$ The work done by the gas during the process is zero.
$B.$ The heat added to the gas is different from the change in its internal energy.
$C.$ The volume of the gas is increased.
$D.$ The internal energy of the gas is increased.
$E.$ The process is isochoric (constant volume process).
Choose the correct answer from the options given below $:-$

Write the expression for the work done by an ideal gas in an isobaric process.