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Question: Which of the following relations is not correctly matched with the formula?...

Which of the following relations is not correctly matched with the formula?

A

In case of association α=i11n1\alpha = \frac{i - 1}{\frac{1}{n} - 1}

B

In case of dissociation α=i1n+1\alpha = \frac{i - 1}{n + 1}

C

Relative lowering of vapour pressure

=PºAPAPºA=inBnA+nB= \frac{Pº_{A} - P_{A}}{Pº_{A}} = i\frac{n_{B}}{n_{A} + n_{B}}

D

Elevation in boiling pointΔTb=Kb×WB×1000MB×WA\Delta T_{b} = K_{b} \times \frac{W_{B} \times 1000}{M_{B} \times W_{A}}

Answer

In case of dissociation α=i1n+1\alpha = \frac{i - 1}{n + 1}

Explanation

Solution

In case of dissociation: AnnAA_{n}\overset{\quad\quad}{\rightarrow}nA

Initial number of moles

1 0

After dissociation

1α1 - \alpha nαn\alpha

No. of particles=1α+nα= 1 - \alpha + n\alpha

i=1α+nα1ori=1α+nαi = \frac{1 - \alpha + n\alpha}{1}ori = 1 - \alpha + n\alpha

i1=nαα=(n1)αα=i1n1i - 1 = n\alpha - \alpha = (n - 1)\alpha\therefore\alpha = \frac{i - 1}{n - 1}