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Question

The degree of dissociation of Ca(NO3)2 in a dilute aqueous solution containing 7 g of salt in 100 g of water at 100C is 70%. The vapour pressure of solution is:


A
746.27 mm of Hg
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B
745.27 mm of Hg
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C
744.27 mm of Hg
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D
743.27 mm of Hg
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Solution

The correct option is A 746.27 mm of Hg
We have, Ca(NO3)2Ca2++2NO3
Before dissociation 1 0 0
After dissociation 1α α 2α

Therefore, total moles at equilibrium = 1+2α
=1+2×0.7 [As,α=0.7]=2.4
For Ca(NO3)2: mNmexp=1+2α
Therefore, mexp=mN(1+2α)=1642.4=68.33
Also at 100C,P0H2O=760 mm, w=7 g, W=100 g

And (P0Ps)Ps=(7×18)(68.33×100)=0.0184P0Ps1=0.0184 Ps=7601.0184=746.27 mm of Hg


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