Question

show that a =√k/c , where a is degree of dissociation , k is the equlibrium constant . c is the concentration of the electrolyte
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Answer 1

Answer:

According to law of active mass

Explanation:

consider the reaction

A + B -------> C + D

Initial moles of A and B are one

Initial moles of C and D are zero

At equilibrium moles of A and B are 1 — a

At equilibrium moles of C and D are a

Equilibrium concentration of A is 1—a/V

Equilibrium concentration of B is 1—a/V

Equilibrium concentration of C is a/V

Equilibrium concentration of D is a/V

according to law

K = [C][D]/[A][B]

= a²/(a—1)²

at equilibrium 1-a ≈ 1

therefore

K = a²C

a= √K/C