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← JEE Main 2026 · 6 Apr · Shift 2
ChemistrySingle correct+4 / -1Question 56 of 75

JEE Main 2026 · 6 Apr · Shift 2, Chemistry question 56

Given is a concentrated solution of a weak electrolyte AxByA_xB_y of concentration 'cc' and dissociation constant 'KK'. The degree of dissociation is given by :

Choose one option
Answer and worked solution

Official answer: B

Equilibrium. AXxBXy⇌x A+y B\ce{A_xB_y <=> xA + yB}:
K=(xcα)x(ycα)yc(1−α)≈xxyycx+y−1αx+yK=\frac{(xc\alpha)^x(yc\alpha)^y}{c(1-\alpha)}\approx x^xy^yc^{x+y-1}\alpha^{x+y}
for small α.

So
α=(Kcx+y−1xxyy)1x+y.\alpha=\left(\frac K{c^{x+y-1}x^xy^y}\right)^{\frac1{x+y}}.

(B)