Which from the following expression represents molar conductivity of an electrolyte $\mathrm{A}_2…

Which from the following expression represents molar conductivity of an electrolyte $\mathrm{A}_2 \mathrm{~B}_3$ type?
  1. $2 \lambda_{\mathrm{A}^{+++}}^0+3 \lambda_{\mathrm{B}^{--}}^0$
  2. $13 \lambda_{\mathrm{A}^{+++}}^0+2 \lambda_{\mathrm{B}^{-}}^0$
  3. $2 \lambda_{\mathrm{A}^{+*+}}^0+\lambda_{\mathrm{B}^{-}}^0$
  4. $\lambda_{\mathrm{A}^{4++}}^0+3 \lambda_{\mathrm{B}^{-}}^0$

Solution

Molar conductivity at zero concentration for an electrolyte is given by $\Lambda_0=\mathrm{n}_{+} \lambda_{+}^0+\mathrm{n}_{-} \lambda_{-}^0$ $\mathrm{A}_2 \mathrm{~B}_3 \rightleftharpoons 2 \mathrm{~A}^{3+}+3 \mathrm{~B}^{2-}$ $\Lambda_0\left(A_2 B_3\right)=2 \lambda_{\mathrm{A}^{+++}}^0+3 \lambda_{\mathrm{B}^{--}}^0$

Asked in: MHT CET 2023 (13 May Shift 2)

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