Q.

The boiling point of water(100°C) becomes 100.25°C, If 3 grams of a nonvolatile solute is dissolved in 200ml of water. The molecular weight of solute is (Kbfor water is 0.6 K Kg / mole)

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a

12.2gmol-1

b

15.4g mol-1

c

17.3gmol-1

d

20.4gmol-1

answer is C.

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Detailed Solution

First boiling point of water = 100°C

Final  boiling point of water = 100.52°C

Ws = 3g , W0=200g , Kb=0.6K Kg mol-1 Tb=100.52-100 =0.52°C Tb= Kbm=KbWsMs×1000Wo Ms =Kb×Ws×1000Tb×Wo=0.6×3×10000.52×200=1800104=17.3 gmol-1 

Where , Ws=weight of solute ,  W0=weight of solvent

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