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Question: One litre of water is placed in a closed room 2 × 104lit. capacity containing dry air at 27ºC. If aq...

One litre of water is placed in a closed room 2 × 104lit. capacity containing dry air at 27ºC. If aqueous tension at 27ºC is 23 mm. of Hg and density of water is 1 gm/ml, then volume of water that will evaporate is –

A

600 ml

B

442.8 ml

C

1 L

D

200 ml

Answer

442.8 ml

Explanation

Solution

Let no. of moles H2O (g) present in the room = nH2On_{H_{2}O}

nH2On_{H_{2}O}= PH2O×(Vol.ofroom)RT\frac{P_{H_{2}O} \times (Vol.ofroom)}{RT} = 23760×2×1040.082×300\frac{\frac{23}{760} \times 2 \times 10^{4}}{0.082 \times 300}

= 24.6

\ mass of water evaporated = 24.6 × 18 gm

= 442.8 gm.

\ vol. of water evaporated = 442.8 ml.