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Question: The Ksp of FeS = 4 × 10<sup>–19</sup> at 298 K. The minimum concentration of H<sup>+</sup> ions requ...

The Ksp of FeS = 4 × 10–19 at 298 K. The minimum concentration of H+ ions required to prevent the precipitation of FeS from a 0.01 M solution Fe2+ salt by passing H2S is –

(given[H+]2[ S2]0.1\frac { \left[ \mathrm { H } ^ { + } \right] ^ { 2 } \left[ \mathrm {~S} ^ { - 2 } \right] } { 0.1 } = 1 × 10–21)

A

1.6 × 10–3 M

B

2.5 × 10–4 M

C

2.0 × 10–2 M

D

1.2 × 10–4 M

Answer

1.6 × 10–3 M

Explanation

Solution

[Fe2+] [S–2] = 4 × 10–19 ̃ [S–2] = 4×10191×102\frac { 4 \times 10 ^ { - 19 } } { 1 \times 10 ^ { - 2 } } = 4×10–17 M

In order to precipitate FeS, [S–2] required is 4 × 10–17 M from 0.01 M Fe2+ salts.

Now [H+]2[4×1017]0.1\frac { \left[ \mathrm { H } ^ { + } \right] ^ { 2 } \left[ 4 \times 10 ^ { - 17 } \right] } { 0.1 } = 1 × 10–21

̃ [H+]2 = 2.5 × 10–6

̃ [H+] = 1.6 × 10–3