Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Electro Chemistry

Question:

The unit for molar conductivity is

Options:

$S\, m^2\, mol^{-1}$

$S\, m^{-1}$

$S\, m\, mol^{-1}$

$S^{-1}\, m^2\, mol^{-1}$

Correct Answer:

$S\, m^2\, mol^{-1}$

Explanation:

The correct answer is Option (1) → $S\, m^2\, mol^{-1}$

The correct unit of molar conductivity ($Λ_m$) is:

$\text{S m}^2\text{mol}^{-1}$

Why:

Molar conductivity is defined as

$Λ_m=\frac{Κ}{c}$

where

• Κ (conductivity) has unit $\text{S m}^{-1}$,

• c (concentration) has unit $\text{mol m}^{-3}$.

So,

$Λ_m=\frac{\text{S m}^{-1}}{\text{mol m}^{-3}}=\text{S m}^2\text{mol}^{-1}$