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The first and second dissociation consta...

The first and second dissociation constants of an acid `H_2A` are `1.0 xx 10^(-5) and 5.0 xx 10^(-10)` respectively. The overall dissociation constant of the acid will be

A

`0.2 xx 10^(5)`

B

`5.0 xx 10^(-5)`

C

`5.0 xx 10^(15)`

D

`5.0 xx 10^(-15)`

Text Solution

Verified by Experts

The correct Answer is:
D
`H_(2)A Leftrightarrow H^+ +HA^(-), K_(1)=([H^+] [HA^(-)])/([H_(2)A])=1.0 xx 10^(-5)`
`HA^(-) Leftrightarrow H^+ +A^(2-), K_(2)= ([H^+] [A^(2-)])/([HA^-])=5.0 xx 10^(-10)`
`K=([H^+]^2 [A^(2-)])/([H_(2)A])=K_(1) xx K_(2)=1.0 xx 10^(-5) xx 5.0 xx 10^(-10) =5.0 xx 10^(-15)`
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