Ionic Equilibrium- JEE Advanced Previous Year Questions with Solutions

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 Simulator   Previous Years JEE Advance Questions [esquestion] The dissociation constant of a substituted benzoic acid at $25^{\circ} \mathrm{C}$ is $1.0 \times 10^{-4}$ . The pH of a 0.01 M solution of its sodium salt is #tag# [JEE 2009] #sol# 8 $\mathrm{K}_{\mathrm{h}}=\frac{\mathrm{K}_{\mathrm{w}}}{\mathrm{K}_{\mathrm{a}}}=\frac{10^{-14}}{10^{-4}}=10^{-10}$ $\mathrm{h}=\sqrt{\frac{\mathrm{K}_{\mathrm{h}}}{\mathrm{C}_{0}}}=\sqrt{\frac{10^{-10}}{10^{-2}}}=10^{-4}$ $\mathrm{pH}=\frac{1}{2}[\mathrm{pKw}+\mathrm{pKa}+\log \mathrm{Co}]$ $\mathrm{pH}=\frac{1}{2}\left[14+4+\log 10^{-2}\right]$ $\mathrm{pH}=\frac{1}{2}[16]=8$ [/esquestion] [esquestion] Aqueous solutions of $\mathrm{HNO}_{3}, \mathrm{KOH}, \mathrm{CH}_{3} \mathrm{COOH}$ and $\mathrm{CH}_{3} \mathrm{COONa}$ of identical concentrations are provided. The pair(s) of solutions which form a buffer upon mixing is(are) (A) $\mathrm{HNO}_{3}$ and $\mathrm{CH}_{3} \mathrm{COOH}$ (B) $\mathrm{KOH}$ and $\mathrm{CH}_{3} \mathrm{COONa}$ (C) $\mathrm{HNO}_{3}$ and $\mathrm{CH}_{3} \mathrm{COONa}$ (D) $\mathrm{CH}_{3} \mathrm{COOH}$ and $\mathrm{CH}_{3} \mathrm{COONa}$ #tag# #sol# (C,D) [/esquestion] [esquestion] In 1 L saturated solution of AgCl $\left[\mathrm{K}_{\mathrm{sp}}(\mathrm{AgCl})=1.6 \times 10^{-10}\right], 0.1 \mathrm{mol}$ of $\mathrm{CuCl}$ $\left[\mathrm{K}_{\mathrm{sp}}(\mathrm{CuCl})=1.0 \times 10^{-6}\right]$ is added. The resultant concentration of $\mathrm{Ag}^{+}$ in the solution is 1.6 × $10^{-x}$. The value of ‘x’ is. #tag# [JEE -2011] #sol# 7 [/esquestion] [esquestion] The initial rate of hydrolysis of methyl acetate (1M) by a weak acid (HA, 1M) is $1 / 100^{\text {th }}$ of that of a strong acid (HX, 1M), at $25^{\circ} \mathrm{C}$. The $\mathrm{K}_{\mathrm{a}}$ of HA is (A) $1 \times 10^{-4}$ (B) $1 \times 10^{-5}$ (C) $1 \times 10^{-6}$ (D) $1 \times 10^{-3}$ #tag# [JEE 2013] #sol# (A) [/esquestion] [esquestion] The $\mathrm{K}_{\mathrm{sp}}$ of $\mathrm{Ag}_{2} \mathrm{CrO}_{4}$ is $1.1 \times 10^{-12}$ at 298 K. The solubility (in mol/L) of $\mathrm{Ag}_{2} \mathrm{CrO}_{4}$ in a $0.1 \mathrm{M} \mathrm{AgNO}_{3}$solution is (A) $1.1 \times 10^{-11}$ (B) $1.1 \times 10^{-10}$ (C) $1.1 \times 10^{-12}$ (D) $1.1 \times 10^{-9}$ #tag# [JEE 2013] #sol# (B) [/esquestion] [esquestion] Dilution process of different aqueous solutions; with water, are given in LIST-I. The effects of dilution of the solutions on $\left[\mathrm{H}^{+}\right]$ are given in LIST II. (Note : Degree of dissociation () of weak acid and weak base is << 1; degree of hydrolysis of salt <<1; $\left[\mathrm{H}^{+}\right]$ represents the concentration of $\mathrm{H}^{+}$ ions) Match each process given in LIST-I with one or more effect(s) in LIST-II. The correct option is $(\mathrm{A}) \mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 1$ (B) $\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 3$ (C) $\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 4 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 3$ $(\mathrm{D}) \mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 5 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 1$ #tag# [JEE- Adv. - 2018] #sol# (D) correct match : Q-5 [/esquestion]

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