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Question

The vapour pressure of H2O is 23.8 mm Hg at 25oC. What is the vapour pressure of a solution of 28.5 g of sucrose, C12H22O11 (Molecular mass= 342 u) in 100 g of H2O?

A
20.00 mm Hg
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B
23.44 mm Hg
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C
32.5 mm Hg
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D
20.6 mm Hg
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Solution

The correct option is B 23.44 mm Hg
Mole of sucrose=28.5342=0.083 mol
Moles of H2O=10018=5.55 mol
mole fraction of solute=0.0830.083+5.55=0.0148
By using raoult's law,
p0pp0=xB...(i)
Where, xB=Mole fration of solutep0=Vapour pressure of waterp=Vapour pressure of solution
23.8p23.8=0.0148
p=23.404 mm Hg.

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