Q.
Which of the following happens when $\mathrm{NH_4OH}$ is added gradually to the solution containing 1 M $\mathrm{A^{2+}}$ and 1M $\mathrm{B^{3+}}$ ions? Given : $K_{sp}[A(OH)_2]=9\times10^{-10}$ and $K_{sp}[B(OH)_3]=27\times10^{-18}$ at 298 K.
A) Both A(OH)₂ and B(OH)₃ do not show precipitation with NH₄OH
B) A(OH)₂ will precipitate before B(OH)₃
C) B(OH)₃ will precipitate before A(OH)₂
D) A(OH)₂ and B(OH)₃ will precipitate together
Explanation
[Solution by Dr. Abubacker] For $A(OH)_2$: $[OH^-]=\sqrt{9\times10^{-10}/1}=3\times10^{-5}$ M. For $B(OH)_3$: $[OH^-]=\left(27\times10^{-18}\right)^{1/3}=3\times10^{-6}$ M. $B(OH)_3$ needs the lower $[OH^-]$, so it precipitates first. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.