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Question

Question: (vii) Which formula co-relates degree of dissociation and concentration of electrolyte?...

(vii) Which formula co-relates degree of dissociation and concentration of electrolyte?

A

c=Kaαc = \sqrt{\frac{K_a}{\alpha}}

B

α=Kac\alpha = \sqrt{\frac{K_a}{c}}

C

c=Kaαc = \sqrt{K_a \alpha}

D

c=αKac = \sqrt{\frac{\alpha}{K_a}}

Answer

α=Kac\alpha = \sqrt{\frac{K_a}{c}}

Explanation

Solution

The degree of dissociation (α\alpha) of a weak electrolyte is related to the acid dissociation constant (KaK_a) and the concentration (cc) by the formula:

α=Kac\alpha = \sqrt{\frac{K_a}{c}}

This relationship is derived from Ostwald's Dilution Law, which simplifies under the assumption that α\alpha is very small compared to 1.