Verified Solution • 2025–26 Session moderate

QJEEM25Ch086a: JEE Main 2025 Chemistry - Class 11 JEEM25Ch086a Solution: Which of the following happens when is added gradually to the…

Which of the following happens when NH4OH\mathrm{NH}_4 \mathrm{OH} is added gradually to the solution containing 1 M A2+\mathrm{A}^{2+} and 1MB3+1 \mathrm{M} \mathrm{B}^{3+} ions?

Given : Ksp [A(OH)2]=9×10−10\mathrm{K}_{\text {sp }}\left[\mathrm{A}(\mathrm{OH})_2\right]=9 \times 10^{-10} and Ksp[B(OH)3]=27×10−18\mathrm{K}_{\mathrm{sp}}\left[\mathrm{B}(\mathrm{OH})_3\right]=27 \times 10^{-18} at 298 K.

Multiple Choice Options

  • A A(OH)2\mathrm{A}(\mathrm{OH})_2 will precipitate before B(OH)3\mathrm{B}(\mathrm{OH})_3
  • B A(OH)2\mathrm{A}(\mathrm{OH})_2 and B(OH)3\mathrm{B}(\mathrm{OH})_3 will precipitate together
  • C Both A(OH)2\mathrm{A}(\mathrm{OH})_2 and B(OH)3\mathrm{B}(\mathrm{OH})_3 do not show precipitation with NH4OH\mathrm{NH}_4 \mathrm{OH}
  • D B(OH)3\mathrm{B}(\mathrm{OH})_3 will precipitate before A(OH)2\mathrm{A}(\mathrm{OH})_2

Step-by-Step Verified Solution

Condition for precipitation \mathrm{Q}_{\mathrm{ip}}>\mathrm{K}_{\text {sp }}

For [A(OH)2\left[\mathrm{A}(\mathrm{OH})_2\right. ]

\begin{aligned}& {\left[\mathrm{A}^{2+}\right]\left[\mathrm{OH}^{-}\right]^2>9 \times 10^{-10}} \\& {\left[\mathrm{~A}^{+2}\right]=1 \mathrm{M}} \\& \Rightarrow\left[\mathrm{OH}^{-}\right]>3 \times 10^{-5} \mathrm{M}\end{aligned}

For [B(OH)3]\left[\mathrm{B}(\mathrm{OH})_3\right]

\begin{aligned}& {\left[\mathrm{B}^{3+}\right]\left[\mathrm{OH}^{-}\right]^3>27 \times 10^{-18}} \\& {\left[\mathrm{~B}^{3+}\right]=1 \mathrm{M}} \\& \Rightarrow\left[\mathrm{OH}^{-}\right]>3 \times 10^{-6} \mathrm{M}\end{aligned}

So, B(OH)3\mathrm{B}(\mathrm{OH})_3 will precipitate before A(OH)2\mathrm{A}(\mathrm{OH})_2

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