NVAMediumJEE Main 2023 · 29 January, Shift 1Electrolytic Conductance & Kohlrausch's Law

Chemistry Question from JEE Main 2023 · 29 January, Shift 1

The following figure shows the dependence of molar conductance of two electrolytes on concentration, where Λm\Lambda_m^\circ is the limiting molar conductivity.

The figure shows: a plot whose vertical axis is labelled Λm/S cm2mol1\Lambda_m / \text{S cm}^2\,\text{mol}^{-1} and whose horizontal axis is labelled c (mol/L)1/2\sqrt{c}\ (\text{mol/L})^{1/2}. Two curves are drawn on it. The curve labelled A starts very high, close to the Λm\Lambda_m axis, drops steeply as c\sqrt{c} increases and then flattens into an almost horizontal tail at larger c\sqrt{c}; it never becomes a straight line, so it cannot be extrapolated back to c=0\sqrt{c} = 0. The curve labelled B is very nearly a straight line: it starts from a finite intercept on the Λm\Lambda_m axis and falls slowly and almost linearly as c\sqrt{c} increases. The two curves cross near the left-hand edge of the plot, so A lies above B at very small c\sqrt{c} and below B afterwards.

The number of incorrect statements from the following is _____.

(A) Λm\Lambda_m^\circ for electrolyte A is obtained by extrapolation.

(B) For electrolyte B, the Λm\Lambda_m versus c\sqrt{c} graph is a straight line with intercept equal to Λm\Lambda_m^\circ.

(C) At infinite dilution, the value of the degree of dissociation approaches zero for electrolyte B.

(D) Λm\Lambda_m^\circ for any electrolyte A or B can be calculated using λ\lambda^\circ for individual ions.

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