When a certain conductivity cell was filled with 0.1 M KCl, it has a resistance of 85 Q at 25°C. When the same cell was filled with an aqueous solution of 0.052 M unknown electrolyte, the resistance was 96 Ω. Calculate the molar conductivity of the unknown electrolyte at this concentration. (Specific conductivity of 0.1 M KCl = 1.29 x 10^–2 ohm^–1cm^–1).

Solution

Resistance of KCl solution,
R = 85 $Ω$
Cell constant = K x R
$= 1.29 \times 10^{- 2} Ω^{- 1} {cm}^{- 1} \times 85 Ω = 1.1 {cm}^{- 1}$
Resistance of unknown electrolyte solution,
   $R = 96 Ω$
Specific conductance
   $K = \frac{Cell constant}{R} = \frac{1.1 {cm}^{- 1}}{96 Ω} = \frac{11}{960} Ω^{- 1} {cm}^{- 1}$
Concentration,
$C = 0.052 \frac{mol}{L} = 0.052 \frac{mol}{1000 {cm}^{3}} = 5.2 \times 10^{- 5} mol {cm}^{- 3}$
Molar conductance,
   $Λ_{m} = \frac{K}{C} = \frac{11 Ω^{- 1} {cm}^{- 1}}{960 \times 5.2 \times 10^{- 5} mol {cm}^{- 3}} = 220.2 Ω^{- 1} {cm}^{2} {mol}^{- 1} .$

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For Daily Free Study Material Join wiredfaculty

Electrochemistry

Some More Questions From Electrochemistry Chapter

Why does the conductivity of a solution decrease with dilution?

Suggest a way to determine the Λ°m value of water.

The molar conductivity of 0.025 mol L–1 methanoic acid is 46.1 S cm2 mol–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H+) = 349.6 S cm2 mol–1 and λ° (HCOO– ) = 54.6 s cm2 mol–1.

If the current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons flow through the wire?

Suggest a list of metals that are extracted electrolytically.

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Write the chemistry of recharging the lead storage battery, highlighting all the materials that are involved during recharging.

Suggest two materials other than hydrogen that can be used as fuels in fuel cells.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Suggest a way to determine the Λ°_m value of water.

The molar conductivity of 0.025 mol L^–1methanoic acid is 46.1 S cm² mol^–1. Calculate its degree of dissociation and dissociation constant. Give λ°(H⁺) = 349.6 S cm²mol^–1 and λ° (HCOO^– ) = 54.6 s cm² mol^–1.

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