Question

If the pressure of an ideal gas contained in a closed vessel is increased by $0.4$%, the increases in temperature is $1^{\circ }C$. The initial temperature of the gas is :

• A. ${26}^{\circ }C$
• B. ${250}^{\circ }C$
• C. $250K$
• D. ${2500}^{\circ }C$

Answer 1

Answer: (B)

${250}^{\circ }C$

We have, $p\propto T$
$\frac{p}{p+\left(\frac{0.4}{100}\right)p}=\frac{T}{T+1}$
$T={250}^{\circ }C$.