Answer:
(a) \[{{H}_{2}}S\underset{{}}{\leftrightarrows}{{H}^{+}}+H{{S}^{-}}\] \[{{K}_{{{a}_{1}}}}=\frac{[{{H}^{+}}][H{{S}^{-}}]}{[{{H}_{2}}S]}\]
\[H{{S}^{-}}\underset{{}}{\leftrightarrows}{{H}^{+}}+{{S}^{2-}}\] \[{{K}_{{{a}_{2}}}}=\frac{[{{H}^{+}}][{{S}^{2-}}]}{[H{{S}^{-}}]}\]
\[{{H}_{2}}S\underset{{}}{\leftrightarrows}2{{H}^{+}}+{{S}^{2-}}\] \[{{K}_{{{a}_{3}}}}=\frac{[{{H}^{+}}][{{S}^{2-}}]}{[{{H}_{2}}S]}\]\[{{K}_{{{a}_{3}}}}={{K}_{{{a}_{1}}}}\times
{{K}_{{{a}_{2}}}}\]
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