JEE Main202628 January 2026Evening ShiftChemistryElectrochemistryActual
For strong electrolyte _ m increases slowly with dilution and can be represented by the equation _ m = _ m ^ - Ac ^ 1 / 2 Molar conductivity values of the solutions of strong electrolyte AB at 18^ C are given below : ( array |l|c|c|c|c| c ;[ mol ,L⁻¹ ] & 0.04 & 0.09 & 0.16 & 0.25 _ m ;[ S ,cm² ,mol⁻¹ ] & 96.1 & 95.7 & 95.3 & 94.9 array ) The value of constant A based on the above data [ . in . S cm ² ~mol ⁻¹ /( mol /
Correct answer
0
Step-by-step solution
The equation _m = _m^0 - Ac^ 1/2 is linear in c^ 1/2 . Taking two data points: (c=0.04, c =0.2, _m =96.1) and (c=0.25, c =0.5, _m =94.9). Slope = 94.9 - 96.1 0.5 - 0.2 = -1.2 0.3 = -4.0 Since slope = -A, the constant A = 4 S cm² mol⁻¹/(mol/L)^(1/2)