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Q.

A box contains 0.90 g of liquid water in equilibrium with water vapour at 27oC. The equilibrium vapour pressure of water at 27oC is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be litre. [nearest integer]

 (Given: R=0.082L atm K1mol1 ) 

(Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

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answer is 29.

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Detailed Solution

V=nRTP=0.90×0.082×300×76018×32=29.2125

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A box contains 0.90 g of liquid water in equilibrium with water vapour at 27oC. The equilibrium vapour pressure of water at 27oC is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be litre. [nearest integer] (Given: R=0.082L atm K−1mol−1 ) (Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)