30g of Urea ( M = 60g/mol )
is dissolved in 846g of water. Calculate the vapour pressure of water for this solution if vapour pressure of pure water at 298k is 23.8mm Hg.
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It's answer is:-
Explanation:
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Solution :-
Vapour pressure of water, p10 = 23.8 mm Hg Weight of water = 846 g
Weight of urea = 30 g Molecular weight of
water (H2O) = 1 × 2 + 16 = 18 g mol−1Molecular weight of urea (NH2CONH2)
= 2N + 4H + C + O
= 2 × 14 + 4 × 1 + 12 + 16
= 60 g mol−1
Number of moles of water n1 = 846 / 18 = 47
Number of mole of urea n2 = 30 / 60 = 0.5
We take vapour pressure as p1.
Raoult’s law =
(P10 - P1) / P10 = n2 / (n1-n2)
(23.8 - p1) / 23.8 = 0.5 / (47+0.5)
(23.8 - p1) / 23.8 = 0.5106 { cross multiplay }
23.8 – p1 = 23.8 × 0.5106
p1 = 11.6 mm Hg
vapour pressure of water in the given solution= 11.6 mmHg
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