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5 g of a nonvolatile solute in 100 g of water has a vapour pressure of 2980 Pa. If the vapour pressure of pure water is 3000 Pa, the molar mass of solute is

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a
120 g mol-1
b
125 g mol-1
c
130 g mol-1
d
134 g mol-1

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detailed solution

Correct option is D

Mole fraction of water in solution is

x=(100/18)mol(5 g/M)+(100/18)mol

Hence, p=x1p1*

2980 Pa=(100/18)mol(5 g/M)+(100/18)mol(3000 Pa) This gives M=134.1 g mol-1

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