Question

A vessel has $N_2$ gas and water vapour at a total pressure of 1 atm. The partial pressure of water vapour is 0.3 atm. The contents of this vessel are transferred to another vessel having one third of the capacity of original vessel at the same temperature. The total pressure of this system in the new vessel is:

• A. 3 atm
• B. 1 atm
• C. 3.33 atm
• D. 2.4 atm

Answer 1

The correct option is D 2.4 atm

$P_{N_2}+P_{H_{2}O}=1$ atm
$P_{H_{2}O}=0.3$ atm
$P_{N_2}=0.7$ atm

Now, new pressure of $N_2$ in another vessel of volume $\frac{V}{3}$ at same temperature T is given by
$P_1{V}_1=P_2{V}_2$
$P_{N_2}\times \frac{V}{3}=0.7V$
$\therefore$ $P_{N_2}=2.1$ atm
Since, aqueous tension remains contant, and thus, total pressure in new vessel
$=P_{N_2}+P_{H_{2}O}=2.1+0.3=2.4$ atm