Question

A closed vessel contain 8g of oxygen and 7g of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a column absorbent. The pressure of the remaining gas will be

• A. 2 atm
• B. 10 atm
• C. 4 atm
• D. 5 atm

Answer 1

The correct option is D

5 atm

$P_{mix}=P_1+P_2=\frac{{\mu }_{1}RT}{V}+\frac{{\mu }_{2}RT}{V}$

$=\frac{m_1}{M_1}\times \frac{RT}{V}+\frac{m_2}{M_2}\times \frac{RT}{V}$

$=\frac{8}{32}\frac{RT}{V}+\frac{7}{28}\frac{RT}{V}{P}_1+P_2=\frac{RT}{2V}=10$

$\frac{RT}{V}=20$

When oxygen is absorbed the nitrogen pressure

$P=\frac{7}{28}\frac{RT}{V}=\frac{7}{28}\times 20$

P = 5 atm