Question

A gas is confined in a chamber of constant volume. When the chamber is immersed in a bath of melting ice, the pressure of the gas is 1000 torr. The final temperature, when the pressure in the manometer indicates an absolute pressure of 400 torr is:

• A. $109\text{K}$
• B. $273\text{K}$
• C. $373\text{K}$
• D. $0\text{K}$

Answer 1

The correct option is A $109\text{K}$

Melting point of ice $=273\text{K}$

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

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

$\frac{1000}{273}=\frac{400}{T_2}$ (at constant $V$)

$T_2=109.2\text{K}$