What is the unit of molar conductivity (Λm)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → S cm2 mol−1
Molar conductivity is the conductivity κ divided by the molar concentration c. With κ in S cm−1 and c in mol cm−3:
\( \displaystyle \Lambda_m=\frac{\kappa}{c}=\frac{\mathrm{S\,cm^{-1}}}{\mathrm{mol\,cm^{-3}}}=\mathrm{S\,cm^{2}\,mol^{-1}} \)
NCERT (2026-27 edition):
2.4.1 Measurement of the Conductivity of Ionic Solutions – “… It, therefore, becomes necessary to define a physically more meaningful quantity called molar conductivity denoted by the symbol Λm (Greek, lambda). It is related to the conductivity of the solution by the equation:
\( \displaystyle \text{Molar conductivity}=\Lambda_m=\frac{\kappa}{c} \qquad (2.21) \)
… If we use S cm–1 as the units for κ and mol cm–3, the units of concentration, then the units for Λm are S cm2 mol–1.”