Question

When a gas filled in a closed vessel is heated through 1${}^o$C, its pressure increases by 0.4%. The initial temperature of the gas was :

• A. 25${}^o$C
• B. 250${}^o$C
• C. 250 K
• D. 2500 K

Answer 1

The correct option is C 250 K

$\frac{dP}{P}=\frac{dT}{T}$ or $T=\frac{\frac{dT}{dP}}{P}=\frac{\frac{1}{0.4}}{100}=250K$.