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Question

The concentrations of S2 and HS ions in the solution consisting of 0.1 M H2S and 0.3 M HCl, given that
Ka1=1.0×107 and Ka2=1.3×1013 for H2S

A
1.0×107 and 1.3×1013
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B
1.4×1020 and 3.3×108
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C
1.0×1013 and 1.3×107
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D
None of the above
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Solution

The correct option is B 1.4×1020 and 3.3×108
H2SH++HS Ka1=1.0×107HSH++S2 Ka2=1.3×1013
since HCl superesses the ionization of H2S due to common ion effect, the concentration of H+ is only due to HCl. (0.3 M HCl given)
Ka1=[H+][HS][H2S]1.0×107=(0.3)[HS]0.1[HS]=1.0×107×0.10.3=3.3×108 MKa2=[H+][S2][HS]1.3×1013=(0.3)[S2]3.3×108[S2]=1.3×1013×3.3×1080.3[S2]=1.4×1020M

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