Molar conductivity of a solution of an electrolyte A B3 is 150 Scm^2 mol^-1. If it ionises as A

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Molar conductivity of a solution of an electrolyte A B3 is...

Molar conductivity of a solution of an electrolyte $A B_{3}$ is $150 \mathrm{Scm}^{2} \mathrm{~mol}^{-1}$. If it ionises as $\mathrm{AB}_{3} \longrightarrow A^{3+}+3 B^{-}$, its equivalent conductivity will be : (a) $150\left(\right.$ in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ ) (b) 75 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ ) (c) 50 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ ) (d) 80 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ )

Molar conductivity of a solution of an electrolyte $A B_{3}$ is $150 \mathrm{Scm}^{2} \mathrm{~mol}^{-1}$. If it ionises as $\mathrm{AB}_{3} \longrightarrow A^{3+}+3 B^{-}$, its equivalent conductivity will be :
(a) $150\left(\right.$ in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ )
(b) 75 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ )
(c) 50 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ )
(d) 80 (in $\mathrm{Scm}^{2} \mathrm{eq}^{-1}$ )

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Key Concepts

Stoichiometry of Ionization

The stoichiometry of ionization indicates the ratio in which a compound dissociates into its constituent ions. This is essential for determining the total charge (or number of equivalents) produced per mole of electrolyte, allowing conversion between molar and equivalent conductivities.

Molar Conductivity

Molar conductivity is the conductivity of an electrolyte solution normalized by its molar concentration. Expressed in units like S cm² mol?¹, it quantitatively describes the ability of the dissolved ions to conduct electrical current under a unit concentration.

Equivalent Conductivity

Equivalent conductivity refers to the conductivity of an electrolyte solution normalized by the number of equivalents per liter of the electrolyte. It is expressed in units such as S cm² eq?¹ and is obtained by dividing the molar conductivity by the number of equivalents, which is determined by the total charge produced upon dissociation.

Equivalents in Electrolyte Solutions

The concept of equivalents relates to the amount of an electrolyte that provides one mole of charge upon complete ionization. It provides a basis for adjusting conductivity measurements from a molar basis to an equivalent basis, ensuring that the conductivity contribution per unit charge is correctly represented.

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