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K(a(1)), K(a(2)) and K(a(3)) are the res...

`K_(a_(1)), K_(a_(2))` and `K_(a_(3))` are the respective ionisation constants for the following reactions.
`H_(2)S hArr H^(+)+HS^(-)`
`HS^(-)hArr H^(+)+S^(2-)`
`H_(2)S hArr 2H^(+)+S^(2-)`
The correct relationship between `K_(a_(1)), K_(a_(2))` and `K_(a_(3))` is

A

`K_(a_(3))=K_(a_(1))xx K_(a_(2))`

B

`K_(a_(3))=K_(a_(1))=K_(a_(1))+K_(a_(2))`

C

`K_(a_(3))=K_(a_(1))-K_(a_(2))`

D

`K_(a_(3))=K_(a_(1))//K_(a_(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`K_(a_(3))=([H^(+)]^(2)[S^(2-)])/([H_(2)S])`
`=([H^(+)][HS^(-)])/([H_(2)S])xx([H^(+)][S^(2-)])/([HS^(-)])=K_(a_(1))xx K_(a_(2))`
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