Question

A vessel has nitrogen gas and water vapours at a total pressure of 1 atm. The partial pressure of water vapour is 0.4 atm. The content of this vessel are transferred completely to another vessel having one-third of the capacity of the original volume at the same temperature, then the total pressure of this system in the new vessel is:

• A. 2.5 atm
• B. 3 atm
• C. 3.4 atm
• D. 4.2 atm

Answer 1

Answer: (A)

2.5 atm

It is given that, total pressure of water vapor and nitrogen is

$P_{N_2}+P_{H_{2}O}=1atm$

$\because P_{H_{2}O}=0.4atm$

$so,$

$P_{N_2}=0.6atm$

$\because P_1{V}_1=P_2{V}_2$

$0.6\times V_1=P_2\frac{V_1}{3}$

$P_{N_2}=2.1atm$

$P_{H_{2}O}=0.4atm$

$P_T=2.5atm$