$A g N O_{3} (a q)$ was added to an aqueous KCl solution gradually and the conductivity of the solution was measured. The plot of conductance $(Λ)$ versus the volume of $A g N O_{3}$ is:

(P)

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(Q)

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(R)

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(S)

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Solution

The correct option is D (S)
The plot of conductance $(Λ)$ versus the volume of $A g N O_{3}$ is as given by (S). This is as explained below.
Initial conductance $(Λ)$ of solution was due to $K_{(a q .)}^{+}$ and $C l_{(a q .)}^{-}$ .
On addition of $A g N O_{3}$ , the reaction occurs as,
$A g N O_{3} (a q .) + K C l (a q .) \to A g C l ↓ + K N O_{3}$
$A g N O_{3}$ acts as limiting reagent upto complete precipitation. The conductance up to precipitation is a straight line parallel to x-axis due to replacement of $C l^{-}$ ions with $N O_{3}^{-}$ ions (ionic mobility of $N O_{3}^{-}$ and $C l^{-}$ are almost same). After complete precipitation, with further addition of $A g N O_{3}$ , increase in the conductance is observed due to added $A g^{+}, N O_{3}^{-}$ ions.

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