What is the molar solubility of Al(OH)3 in 0.2 M NaOH Solution? Given that, solubility product Al(OH)3 = 2.4 × 10-24:

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JEE Mains Previous Paper 1 (Held On: 12 Apr 2019 Shift 1)
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  1. 3 × 10-19
  2. 12 × 10-21
  3. 3 × 10-22
  4. 12 × 10-23

Answer (Detailed Solution Below)

Option 3 : 3 × 10-22
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JEE Main 04 April 2024 Shift 1
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90 Questions 300 Marks 180 Mins

Detailed Solution

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Concept:

Let the solubility of

Al(OH)3 ⇌ Al3+ + 3OH-

s 3s

NaoH ⇌ Na++ OH-

0.2 M 0.2M

Calculation:

[(Al3+)] = s and [OH-] = 3s + 0.2 ≈ 0.2

ksp = 2.4 × 10-24 = [Al3+] [OH-]

2.4 × 10-24 = s(0.2)3

\(s = \frac{{2.4 \times {{10}^{ - 24}}{\rm{\;}}}}{{8 \times {{10}^3}{\rm{\;}}}} = 3 \times {10^{ - 22}}\;{\rm{mol}}/L\)
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