Solutions Question 262

Question: The degree of dissociation of Ca(NO3)2 in a dilute solution containing 14 g of the salt per 200 g of water at 100C is 70%. If the vapour pressure of water is 760 mmHg, calculate the vapour pressure of solution.

Options:

A) 750.6 mmHg

B) 755.8 mmHg

C) 745.98 mmHg

D) 739.56 mmHg

Show Answer

Answer:

Correct Answer: C

Solution:

Δptheo.= Lowering in vapour pressure when there is no dissocation =p0×wMWm (given, p0=760mm , w=14g, W=200gm M=18, m=164) =760×14×18200×164=5.84mm Degree of dissociation α=70100=0.7

Ca(NO3)2Ca2++2NO3

(n=3)

i=1+(n1)α

=1+(31)0.7=2.4 Also, i=Δpobs.Δptheo.

=No. of particles after dissociationNo. of particles when there is no dissociation So. Δpobs=2.4×Δptheo.=2.4×5.84

=14.02mm

p0ps=Δpobs=14.02

ps=p014.02=76014.02=745.98mmHg



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