ExamBro
ExamBro
JEE Mains · Chemistry · STD 11 - 6.2. Equilibrium - II (icon Equilibrium)

For a concentrated solution of a weak electrolyte ( \(K _{ eq }=\) equilibrium constant) \(A _2 B _3\) of concentration ' \(c\) ', the degree of dissociation " \(\alpha\) ' is

  1. A \(\left(\frac{ K _{ eq }}{108 c ^4}\right)^{\frac{1}{5}}\)
  2. B \(\left(\frac{ K _{ eq }}{6 c ^5}\right)^{\frac{1}{5}}\)
  3. C \(\left(\frac{K_{e q}}{5 c^4}\right)^{\frac{1}{5}}\)
  4. D \(\left(\frac{ K _{ eq }}{25 c ^2}\right)^{\frac{1}{5}}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\left(\frac{ K _{ eq }}{108 c ^4}\right)^{\frac{1}{5}}\)

Step-by-step Solution

Detailed explanation

\(A _2 B _3 \text { (aq.) } \rightleftharpoons 2 A _{\text {(aq.) }}^{3+}+3 B _{\text {(aq) }}^{2-}\) \(K _{ eq }=\frac{\left[ A ^{3+}\right]^2\left[ B ^{2-}\right]^3}{\left[ A _2 B _3\right]}=\frac{4 c ^2 \alpha^2 \times 27 c ^3 \alpha^3}{ c (1-\alpha)}\)…