Which of the following expressions represents molar conductivity of $\mathrm{AB}_3$ type electrolyte?

Which of the following expressions represents molar conductivity of $\mathrm{AB}_3$ type electrolyte?
  1. $3 \lambda_{\mathrm{A}^{+++}}^{\circ}+\lambda_{\mathrm{B}^{-}}^0$
  2. $\lambda_{\mathrm{A}^{+1+}}^0+\lambda_{\mathrm{B}^{-}}^0$
  3. $\lambda_{\mathrm{A}^{++}}^0+3 \lambda_{\mathrm{B}^{-}}^0$
  4. $2\lambda_{\mathrm{A}^{++}}^{\circ}+\lambda_{\mathrm{B}^{-}}^{\circ}$

Solution

$\wedge_0=\mathrm{n}_{+} \lambda_{+}^0+\mathrm{n}_{-} \lambda_{-}^0$ Where, $\lambda_{+}$and $\lambda$ are molar conductivities of cation and anion, respectively, and $\mathrm{n}_{+}$and $\mathrm{n}$ are the number of moles of cation and anion specified in the chemical formula of an electrolyte.

Asked in: MHT CET 2023 (12 May Shift 2)

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