Question

A sample of gas occupies $100ml$ at ${27}^{o}C$ and $740mm$ pressure. When its volume is changed to $80ml$ at $740mm$ pressure, the temperature of the gas will be:

• A. ${21.6}^{o}C$
• B. ${240}^{o}C$
• C. $-{33}^{o}C$
• D. ${89.5}^{o}C$

Answer 1

The correct option is C $-{33}^{o}C$

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\because T_2=\frac{P_2{V}_2}{P_1{V}_1}\times T_1=\frac{740}{740}\times \frac{80}{100}\times 300$

$={240}^{0}K=-{33}^{o}C$