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Q.

A vessel has $N_{2}$ gas saturated with 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 completely transferred to another vessel having one third of the capacity of the original volume, at the same temperature. The total pressure of this system in the new vessel is.

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a

3.33 atm

b

1 atm

c

2.4 atm

d

3.0 atm

answer is D.

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Detailed Solution

$\begin{array}{l} P_{N_{2}} = P_{dry gas} + P_{H_{2} O} \\ 1 = P_{1} + 0.3 \Rightarrow P_{1} = 0.7 atm \\ on making volume = \frac{V_{1}}{3}, pressure \\ P_{2} = 3 P_{1} = 3 \times 0.7 = 2.1 atm \\ P_{H_{2} O} does not change \\ ∴ new P_{N_{2}} = 2.1 + 0.3 = 2.4 atm \end{array}$

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