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The first and second dissociation consta...

The first and second dissociation constant of an acid `H_(2)A` are `1.0xx10^(-5)` and `5.0xx10^(-10)` respectively. The overall dissociation constant of the acid will be

A

`5.0xx10^(-5)`

B

`5.0xx10^(15)`

C

`5.0xx10^(-15)`

D

`0.0xx10^(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`H_(2)AhArrHA^(-)+H^(+)` `K_(1)=([HA^(-)][H^(+)])/([H_(2)A])`............(i)
`HA^(-)hArrH^(+)+A^(2-)` `K_(2)=([H^(+)][A^(2-)])/([HA^(-)])`.....(ii)
For the reaction
`H_(2)AhArr2H^(+)+A^(2-)`
`K=([H^(+)]^(2)[A^(2-)])/([H_(2)A])=K_(1)xxK_(2)`
`=1xx10^(-5)xx5xx10^(-10)=5xx10^(-15)`
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