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Question

An aqueous solution contains 0.10 M H2S and 0.20 M HCl. If the equilibrium constants for the formation of HSfrom H2S is 1.0×107 and that of S2 from HS ions is 1.2×1013, then the concentration of S2 ions in aqueous solution is:

A
5×1019
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B
5×108
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C
3×1020
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D
6×1021
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Solution

The correct option is A 3×1020
According to the given data,
H2SHS+H+; K1=1×107 ...(1)
HSS2+H+; K2=1.2×1013...(2)

Adding (1) and (2)
we get, H2SS2+2H+ Keq=K1×K2=1.2×1020

Since HCl is a strong acid, we can assume all the H+ ions to come from HCl. Thus, [H+]=0.2 M

Ka=[S2][H+]2[H2S]

[S2]=1.2×1020×[H2S][H+]2
=1.2×1020×1014×102
= 3×1020M




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