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Question

The equivalent conductance of Ba2+ and Cl− are respectively 127 and 76 ohm−1 cm2 eq−1 at infinite dilution. What will be the equivalent conductance of BaCl2 at infinite dilution?

A
139.5 ohm1 cm2 eq1
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B
203 ohm1 cm2 eq1
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C
279 ohm1 cm2 eq1
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D
101.5 ohm1 cm2 eq1
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Solution

The correct option is A 139.5 ohm1 cm2 eq1
Kohlrausch law:
"At infinite dilution, when dissociation is complete, each ion makes a definite contribution towards equivalent conductance of the electrolyte irrespective of the nature of the ion with which it Is associated and the value of equivalent conductance at infinite dilution for any electrolyte is the sum of the contribution of its constituent ions", i.e., anions and cations.

The chemical equation is,

BaCl2Ba2++2Cl

Λ0BaCl2=Λ0Ba2++2Cl=127+2×76=279 ohm1cm2mol1

Equivalent conductivity =2792=139.5 ohm1cm2eq1

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