Question

When a gas in enclosed in a closed vessel was heated so as to increase its temperature by ${25}^{o}C$ its pressure was seen to have increased by 10% The initial temperature of the gas was nearly

• A. ${500}^{\circ }C$
• B. ${227}^{\circ }C$
• C. ${273}^{\circ }C$
• D. ${250}^{\circ }C$

Answer 1

The correct option is D ${250}^{\circ }C$

Given,

Percentage increase in pressure is $10$%

Increase in temperature is ${25}^{o}C$

For constant volume,

$P\alpha T$

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

$\Rightarrow \frac{1.1P_1}{P_1}=\frac{(T_1+25)}{T_1}$

$\Rightarrow T_1=\frac{25}{0.1}=250{}^{o}C$

Hence, initial temperature is ${250}^{o}C$