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Q.

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

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a

3.0 atm

b

1atm

c

3.33 atm

d

2.4 atm

answer is D.

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Detailed Solution

$P_{N_{2}} + P_{H_{2} O (V)} = 1 atm, P_{H_{2} O}^{'} = 0 .3 atm$
$P_{N_{2}}$ =0.7 atm
Now, new Pressure of N₂ in another vessel of volume V/3 at same T is given by:
$P_{N_{2}} \times \frac{V_{1}}{3} = 0 .7 \times V_{1}$
$∴$ $P_{N_{2}}$ = 2.1 atm
Since aqueous tension remains constant and thus, total pressure in new vessel
= $P_{N_{2}} + P_{H_{2} O}$ = 2.1 + 0.3 = 2.4 atm

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