Passage 2 (Questions 69 to 72) The molar conductance of NaCl varies with the…

CHEMISTRY · Single correct · CBSE · Chemistry · Electrochemistry · Electrochemistry

Problem

Passage 2 (Questions 69 to 72) The molar conductance of NaCl varies with the concentration as shown in the following table, and all values follows the equation λmC=λm∞−bC\lambda_m^C = \lambda_m^\infty - b\sqrt{C} where λmC\lambda_m^C = molar specific conductance, λm∞\lambda_m^\infty = molar specific conductance at infinite dilution, and C = molar concentration.
Molar Concentration of NaClMolar Conductance in ohm−1cm2mole−1\text{ohm}^{-1} \text{cm}^2 \text{mole}^{-1}
4×10−44 \times 10^{-4}107
9×10−49 \times 10^{-4}97
16×10−416 \times 10^{-4}87
When a certain conductivity cell (C) was filled with 25×10−425 \times 10^{-4} (M) NaCl solution, the resistance of the cell was found to be 1000 ohm. At infinite dilution, conductance of Cl−\text{Cl}^- and SO4−2\text{SO}_4^{-2} are 80 ohm−1cm2mole−180\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1} and 160 ohm−1cm2mole−1160\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1} respectively. What is the molar conductance of NaCl at infinite dilution? (a) 19.25 ohm−1cm2mole−119.25\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1} (b) 96.25 ohm−1cm2mole−196.25\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1} (c) 385 ohm−1cm2mole−1385\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1} (d) 192.5 ohm−1cm2mole−1192.5\,\text{ohm}^{-1}\text{cm}^2\text{mole}^{-1}

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