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Q.

Two evacuated vessels A and B have volumes V and 4V respectively. Both vessel contain some water. The pressure in the space above water is P₁ for vessel A and P₂ for vessel B. What will be the relation between P₁ and P₂ ?

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a

P₁ = 16P₂

b

P₁ = P₂

c

4P₁ = P₂

d

P₁ = 4P₂

answer is C.

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Detailed Solution

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The pressure in the space above the water in each vessel is determined by the vapor pressure of water at the temperature of the system.
Assuming that both vessels are at the same temperature, the vapor pressure of water will be the same in both vessels.
Therefore, the relation between P₁ and P₂ will be P₁ = P₂.
The volume of the vessels is not relevant to the vapor pressure of water, so the ratio of the volumes does not affect the pressure.

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