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Q. The limiting molar conductivities of $NaI, NaNO _{3}$ and $AgNO _{3}$ are $12.7, 12.0$ and $13.3 \,mS \,m ^{2} \,mol ^{-1}$, respectively (all at $25^{\circ} C$ ). The limiting molar conductivity of $AgI$ at this temperature is ______$mS\, m ^{2}\, mol ^{-1}$

JEE MainJEE Main 2022Electrochemistry

Solution:

Given
(1) $\lambda_{ m }^{\infty}( NaI )=12.7 \,mS \,m ^{2} \,mol ^{-1}$
(2) $\lambda_{ m }^{\infty}\left( NaNO _{3}\right)=12.0 \,mS \,m ^{2}\, mol ^{-1}$
(3) $\lambda_{m}^{\infty}\left( AgNO _{3}\right)=13.3 \,mS \,m ^{2}\, mol ^{-1}$
$\lambda_{ m }^{\infty}( Ag I )=(1)+(3)-(2)$
$=12.7+13.3-12.0$
$=26.0-12.0$
$\lambda_{ m }^{\infty}( Ag I )=14.0$