For an ideal gas, four different paths A, D(B+C) and D + E, from an initial state P₁, V₁, T₁, to a final state P₂, V₂, T₁ is shown in the given figure.

Column - I Path		Column - II Path presentation		Column - III qreversible
(I)	A	(i)	Reversible adiabatic expansion followed y reversible heating at constant volume	(P)	Zero
(II)	B+C	(ii)	Reversible expansion at constant pressure followed by a reversible cooling at constant volume	(Q)	${\mathrm{P}}_1\left({\mathrm{V}}_2-{\mathrm{V}}_1\right)$
(III)	D+E	(iii)	Reversible expansion at constant pressure	(R)	${\mathrm{nRT}}_1\ln \frac{{\mathrm{V}}_2}{{\mathrm{V}}_1}$
(IV)	D	(iv)	Reversible isothermal expansion	(S)	$\mathrm{nRln}\frac{{\mathrm{V}}_2}{{\mathrm{V}}_1}$