Question

When the temperature of a gas filled in a closed vessel is increased by $1^o$C, its pressure increases by $0.4$ percent. The initial temperature of gas was :

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

Answer 1

Answer: (A)

${250}^o$C

$PV=nRT$ ...{i}

$PV\left(1+\frac{0.4}{100}\right)=nR(T+1)$ ...{ii}

Equation divide $\left(ii/i\right)$

$1+\frac{0.4}{100}=\frac{T+1}{T}=1+\frac{1}{T}$

$T=\frac{100}{0.4}={250}^{o}C$
Option A is correct.