Chemistry - Ideal Gas Question with Solution | TestHub

$\because$ For ideals gas

$\mathrm{pV}=\mathrm{nRT}$

or $\mathrm{T}=\frac{\mathrm{pV}}{\mathrm{nR}}$

$\because \mathrm{n}=1=$ constant

$\mathrm{R}=0.083=$ constant

$\therefore \mathrm{T}\propto \mathrm{PV}$

Thus, 

The gas that shows highest product of $\mathrm{p}\times \mathrm{V}$, has highest temperature.

for
(A) $\mathrm{p}\times \mathrm{V}=2\times 5=10 \mathrm{atm} \mathrm{L}$

(B) $\mathrm{p}\times \mathrm{V}=2\times 2.5=5 \mathrm{atmL}$

(C) $\mathrm{p}\times \mathrm{V}=2\times 1.25=2.5 \mathrm{atmL}\hspace{0.17em}$

(D) $\mathrm{p}\times \mathrm{V}=2.5\times 2.5=6.25 \mathrm{atm} \mathrm{L}$

Hence gas $\left(\mathrm{A}\right)$ show highest temperature.