Question

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

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

Answer 1

The correct option is A $250K$

Volume is constant:

$\therefore P\propto T$

$\therefore$ $\frac{P_1}{P_2}=\frac{T_1}{T_2}$

$\therefore$$\frac{P}{P+0.004P}$=$\frac{T+273}{T+274}$

$\therefore$$\frac{1}{1.004}=\frac{T+273}{T+274}$

$\therefore T={-23}^{o}C$

$\therefore T=250K$.