Electrochemistry Ques 64

64. The equivalent conductance of $\frac{M}{32}$ solution of a weak monobasic acid is $8.0 mho cm^{2}$ and at infinite dilution is $400 mho cm^{2}$. The dissociation constant of this acid is:

[2009]

(a) $1.25 \times 10^{-6}$

(b) $6.25 \times 10^{-4}$

(c) $1.25 \times 10^{-4}$

(d) $1.25 \times 10^{-5}$

Show Answer

Answer:

Correct Answer: 64.(d)

Solution:

(d) Degree of dissociation,

$ \begin{aligned} & \alpha=\frac{\Lambda}{\Lambda _{\infty}}=\frac{8.0}{400}=2 \times 10^{-2} \\ & K_a=\frac{C \alpha^{2}}{(1-\alpha)} \approx C \alpha^{2}=\frac{1}{32} \times(2 \times 10^{-2})^{2} \end{aligned} $

$ =1.25 \times 10^{-5} $