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Question

The degree of dissociation of Ca(NO3)2 in a dilute aqueous solution containing 7 gm of the salt per 100 gm of water at 100C is 70 per. If the vapour pressure of water at 100C is 760 mm. Calculate the vapour pressure of the solution.

A
373.12mm/Hg
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B
524.89mm/Hg
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C
746.24mm/Hg
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D
1049.6mm/Hg
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Solution

The correct option is B 746.24mm/Hg
For electrolyte solution,
Ca(NO3)2Ca2++2NO23

Assume a is initial no. of moles of solute
i=(a(10.7)+a×0.7+2×a×0.7)a
i=2.4

(P1P1)P1=i×n2n1

(P1P1)P1=2.4×n2n1

n1=W1M1 , n2=W2M2

(P1P1)P1=2.4×W2×M1W1×M2
W1= Mass of solvent
W2= Mass of solute
M1= Molar mass of solvent
M2= Molar mass of solute

(P1P1)P1=2.4×7×18100×164

Solving this, we get, P1746mm/Hg)

Hence, option C is correct

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