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Question

The vapour pressure of benzene at a certain temperature is 640 mm. of Hg. A non-volatile and non-electrolyte solid, weighing 2.175 g is added to 39.08 g of benzene. If the vapour pressure of the solution is 600 mm of Hg. What is the molecular weight of solid substance?

A
49.50
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B
59.60
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C
69.40
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D
79.82
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Solution

The correct option is C 69.40
According to Raoults law:
nsolutensolvent=PsolventPsolutionPsolution

P0PsP0=w×Mm×W
w=mass of solute
W=mass of solvent
m= molar mass of solute
M= molar mass of solvent

640600640=2.175×78m×39.08

(M for C6H6=78)

m=2.175×78×64040×39.08

=69.45=69.4

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