Q.

If DT and D0 are the theoretical and observed vapour densities at a definite temperature and α be the degree of dissociation of a substance. Then, α in the terms of Do , DT  and n (number of moles of products formed from 1 mole reactant) is calculated by the formula :

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a

α=DO−DT(1−n)DT

b

α=DT−DO(n−1)DT

c

α=DT−DO(n−1)DO

d

α=D−DT(n−1)DT

answer is C.

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Detailed Solution

An(g) ⇌ n.A(g) t=0;     a            0 teq.;  (a-aα)       naα van't hoff factor,i=a-aα+naαa=1+(n-1)α i=MTMo iMo=MT Mo(1+(n-1)α)=MT α=MT-M0(n-1)·M0 ∵ D=M/2 ⇒α=DT-D0(n-1)·D0where, MT=Theoretical Molar mass , Mo=Observed Molar mass, D=Vapour density.
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