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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Ionic Equilibrium

NTA Abhyas 2020 · Chemistry · Ionic Equilibrium

The K _ sp of FeS = 4 × 10 ^ - 19 at 298K. The minimum...

The Ksp{K}_{\text{sp}} of FeS=4×10−19\text{FeS} = 4 \times {10}^{- 19} at 298K.298\text{K}\text{.} The minimum concentration of H+H^{+} ions required to prevent the precipitation of FeS\text{FeS} from a 0.01M\text{0}\text{.01}\text{M} solution {\text{Fe}^{2 +} salt by passing H2S{H}_{2} \text{S}

(Given H2Ska1×kb1=10−21{H}_{2} \text{S}{k}_{{a}_{1}} \times {k}_{{b}_{1}} = {10}^{- 21})

Options

  1. A1.6×10–3M1.6 \times {10}^{– 3}M
  2. B2.5×10–4M2.5 \times {10}^{– 4}M
  3. C2.0×10–2M2.0 \times {10}^{– 2}M
  4. D1.2×10–4M1.2 \times {10}^{– 4}M

Correct answer

A. 1.6×10–3M1.6 \times {10}^{– 3}M

Step-by-step solution

\left[{Fe}^{2 +}\right]\left[S^{– 2}\right] = 4 \times {10}^{– 19} ⇒ \left[S^{– 2}\right] = \dfrac{4 \times 1{0}^{– 19}}{1 \times 1{0}^{– 2}} = 4 \times {10}^{– 17}M<br/><br/>Inordertoprecipitate<br/><br/>In order to precipitateFeS, \left[S^{– 2}\right]requiredisrequired is4 \times {10}^{– 17}Mfromfrom0.01M{Fe}^{2 +}salts.<br/><br/>Nowsalts.<br/><br/>Now\dfrac{{\left[H^{+}\right]}^{2}\left[4 \times 1{0}^{– 17}\right]}{0.1} =1 \times {10}^{– 21}<br/><br/><br/><br/>⇒ {\left[H^{+}\right]}^{2} = 2.5\times {10}^{– 6}

⇒ \left[ H^{+}\right] = 1.6 \times {10}^{– 3}
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