Easy INTEGER +4 / -1 PYQ · JEE Mains 2020

If the solubility product of AB2 is 3.20 $\times$ 10–11 M3, then the solubility of AB2 in pure water is _____ $\times$ 10–4 mol L–1.
[Assuming that neither kind of ion reacts with water]

Answer (integer) 2

Solution

<table class="tg"> <thead> <tr> <th class="tg-baqh">AB<sub>2</sub></th> <th class="tg-baqh">⇌</th> <th class="tg-baqh">A<sup>2+</sup>(aq)</th> <th class="tg-baqh">+</th> <th class="tg-baqh">2B<sup>-</sup>(aq)</th> </tr> </thead> <tbody> <tr> <td class="tg-baqh"></td> <td class="tg-baqh"></td> <td class="tg-baqh">s</td> <td class="tg-baqh"></td> <td class="tg-baqh">2s</td> </tr> </tbody> </table> <br><br>K<sub>sp</sub> = 4s<sup>3</sup> = 3.2 × 10<sup>–11</sup> <br><br>$\Rightarrow$ s<sup>3</sup> = 8 × 10<sup>–12</sup> <br><br>$\Rightarrow$ s = 2 × 10<sup>–4</sup>

About this question

Subject: Chemistry · Chapter: Equilibrium · Topic: Chemical Equilibrium and Kc, Kp

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