Molar ionic conductivities of divalent cation and anion are 57?S and 73?S respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be:

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Q.
Molar ionic conductivities of divalent cation and anion are 57 S ${cm}^{2} {mol}^{- 1}$ and 73 S ${cm}^{2} {mol}^{- 1}$ respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be: [2024]

1 $65 {S cm}^{2} {mol}^{- 1}$

2 $187 {S cm}^{2} {mol}^{- 1}$

3 $130 {S cm}^{2} {mol}^{- 1}$

4 $260 {S cm}^{2} {mol}^{- 1}$

Ans.
(3)

Salt of divalent cation $(A^{2 +})$ and divalent anion $(B^{-})$ is AB.

It dissociates in water as:

$AB ⇌ A^{2 +} + B^{2 -}$

By Kohlrausch's law:

$Λ_{M}^{\circ} (AB) = λ_{m}^{\circ} (A^{2 +}) + λ_{m}^{\circ} (B^{2 -})$

$Λ_{M}^{\circ} (AB) = (57 + 73) {S cm}^{2} {mol}^{- 1} = 130 {S cm}^{2} {mol}^{- 1}$

Solution

Q.
Molar ionic conductivities of divalent cation and anion are 57 S ${cm}^{2} {mol}^{- 1}$ and 73 S ${cm}^{2} {mol}^{- 1}$ respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be: [2024]

1 $65 {S cm}^{2} {mol}^{- 1}$

2 $187 {S cm}^{2} {mol}^{- 1}$

3 $130 {S cm}^{2} {mol}^{- 1}$

4 $260 {S cm}^{2} {mol}^{- 1}$

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Solution

Q. Molar ionic conductivities of divalent cation and anion are 57 S cm2 mol-1 and 73 S cm2 mol-1 respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be: [2024]

1 65 S cm2 mol-1

2 187 S cm2 mol-1

3 130 S cm2 mol-1

4 260 S cm2 mol-1

Ans. (3) Salt of divalent cation (A2+) and divalent anion (B-) is AB. It dissociates in water as: AB⇌A2++B2- By Kohlrausch's law: ΛM∘(AB)=λm∘(A2+)+λm∘(B2-) ΛM∘(AB)=(57+73) S cm2 mol-1=130 S cm2 mol-1

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Q.
Molar ionic conductivities of divalent cation and anion are 57 S ${cm}^{2} {mol}^{- 1}$ and 73 S ${cm}^{2} {mol}^{- 1}$ respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be: [2024]

1 $65 {S cm}^{2} {mol}^{- 1}$

2 $187 {S cm}^{2} {mol}^{- 1}$

3 $130 {S cm}^{2} {mol}^{- 1}$

4 $260 {S cm}^{2} {mol}^{- 1}$