JEE Main 2024 — 29 January, Shift 2 — Question 34

$\mathrm{PV}=\mathrm{nRT}$

$\mathrm{PV}=\frac{\mathrm{N}}{\mathrm{N}_{\mathrm{A}}} \mathrm{RT}$

$\mathrm{N}=$

Total no. of molecules $\mathrm{P}=\frac{\mathrm{N}}{\mathrm{V}} \mathrm{kT}$

$1.38 \times 1.01 \times 10^{5}=2 \times 10^{25} \times 1.38 \times 10^{-23} \times \mathrm{T}$

$1.01 \times 10^{5}=2 \times 10^{2} \times \mathrm{T}$

$\mathrm{T}=\frac{1.01 \times 10^{3}}{2} \approx 500 \mathrm{~K}$