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QJEEM22Ch605a: JEE Main 2022 Chemistry - Class 12 JEEM22Ch605a Solution: The limiting molar conductivities of NaI, NaNO 3 and AgNO 3 are …

The limiting molar conductivities of NaI, NaNO3 and AgNO3 are 12.7, 12.0 and 13.3 mS m2 mol−1, respectively (all at 25∘C). The limiting molar conductivity of AgI at this temperature is ____________ mS m2 mol−1.

Step-by-Step Verified Solution

Given

(1) λm∞(NaI)=12.7 mSm2 mol−1\lambda_m^{\infty}(\mathrm{NaI})=12.7 \,\mathrm{mS} \mathrm{m}^2 \mathrm{~mol}^{-1}

(2) λm∞(NaNO3)=12.0 mSm2 mol−1\lambda_{\mathrm{m}}^{\infty}\left(\mathrm{NaNO}_3\right)=12.0 \,\mathrm{mS} \mathrm{m}^2 \mathrm{~mol}^{-1}

(3) λm∞(AgNO3)=13.3 mSm2 mol−1\lambda_{\mathrm{m}}^{\infty}\left(\mathrm{AgNO}_3\right)=13.3 \,\mathrm{mS} \mathrm{m}^2 \mathrm{~mol}^{-1}

λm∞(AgI)=(1)+(3)−(2)\lambda_{\mathrm{m}}^{\infty}(\mathrm{Ag} \mathrm{I})=(1)+(3)-(2)

=12.7+13.3−12.0

=26.0−12.0

λm∞(AgI)=14.0\lambda_{\mathrm{m}}^{\infty}(\mathrm{Ag} \mathrm{I})=14.0

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