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NEET 2026
Exam
NEET
Year
2026
Subject
Chemistry
Chapter
Ionic Equilibrium

NEET 2026 · Chemistry · Ionic Equilibrium

The correct order of solubility of the given salts in water at 298...

The correct order of solubility of the given salts in water at 298298 K is
SaltKspK_{sp} at 298 K
AgBr5.0×10−135.0\times10^{-13}
Zn(OH)2_21.0×10−151.0\times10^{-15}
Hg2_2Cl2_21.3×10−181.3\times10^{-18}

Options

  1. AZn(OH)2>AgBr>Hg2Cl2\text{Zn(OH)}_2>\text{AgBr}>\text{Hg}_2\text{Cl}_2
  2. BHg2Cl2>Zn(OH)2>AgBr\text{Hg}_2\text{Cl}_2>\text{Zn(OH)}_2>\text{AgBr}
  3. CAgBr>Zn(OH)2>Hg2Cl2\text{AgBr}>\text{Zn(OH)}_2>\text{Hg}_2\text{Cl}_2
  4. DHg2Cl2>AgBr>Zn(OH)2\text{Hg}_2\text{Cl}_2>\text{AgBr}>\text{Zn(OH)}_2

Correct answer

A. Zn(OH)2>AgBr>Hg2Cl2\text{Zn(OH)}_2>\text{AgBr}>\text{Hg}_2\text{Cl}_2

Step-by-step solution

Let ss be the solubility of the salt in water.

For AgBr\text{AgBr}:
AgBr⇌Ag++Br−\text{AgBr} \rightleftharpoons \text{Ag}^+ + \text{Br}^-
Ksp=s2K_{sp} = s^2
s=5.0×10−13=50×10−14≈7.07×10−7 Ms = \sqrt{5.0 \times 10^{-13}} = \sqrt{50 \times 10^{-14}} \approx 7.07 \times 10^{-7} \text{ M}

For Zn(OH)2\text{Zn(OH)}_2:
Zn(OH)2⇌Zn2++2OH−\text{Zn(OH)}_2 \rightleftharpoons \text{Zn}^{2+} + 2\text{OH}^-
Ksp=s(2s)2=4s3K_{sp} = s(2s)^2 = 4s^3
s=(1.0×10−154)1/3=(250×10−18)1/3≈6.3×10−6 Ms = \left(\dfrac{1.0 \times 10^{-15}}{4}\right)^{1/3} = \left(250 \times 10^{-18}\right)^{1/3} \approx 6.3 \times 10^{-6} \text{ M}

For Hg2Cl2\text{Hg}_2\text{Cl}_2:
Hg2Cl2⇌Hg22++2Cl−\text{Hg}_2\text{Cl}_2 \rightleftharpoons \text{Hg}_2^{2+} + 2\text{Cl}^-
Ksp=s(2s)2=4s3K_{sp} = s(2s)^2 = 4s^3
s=(1.3×10−184)1/3=(0.325×10−18)1/3≈6.87×10−7 Ms = \left(\dfrac{1.3 \times 10^{-18}}{4}\right)^{1/3} = \left(0.325 \times 10^{-18}\right)^{1/3} \approx 6.87 \times 10^{-7} \text{ M}

Comparing the solubilities:
6.3×10−6>7.07×10−7>6.87×10−76.3 \times 10^{-6} > 7.07 \times 10^{-7} > 6.87 \times 10^{-7}

Thus, the correct order of solubility is Zn(OH)2>AgBr>Hg2Cl2\text{Zn(OH)}_2 > \text{AgBr} > \text{Hg}_2\text{Cl}_2.

Answer: Zn(OH)2>AgBr>Hg2Cl2\text{Zn(OH)}_2>\text{AgBr}>\text{Hg}_2\text{Cl}_2
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