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The equilibrium constants for the reacti...

The equilibrium constants for the reaction are:
`H _(3) PO _(4) overset(K _(1)) hArr H ^(+) + H _(2) PO _(4) ^(-) , K _(1)`
`H _(2) PO _(4) ^(-) overset( K _(2)) hArr H ^(+) + HPO _(4) ^(2-) , K _(2)`
`HPO _(4) ^(2-) overset( K _(3)) hArr H ^(+) + PO _(4) ^(3-), K _(3)`
The equilibrium constant for `H _(3) PO _(4) hArr 3H ^(+) + PO _(4) ^(3-)` will be:

A

`K _(1) // K _(2) K _(3)`

B

`K _(1) xx K _(2) xx K _(3)`

C

`K _(2) // K _(1) K _(3)`

D

`K _(1) + K _(2) + K_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B

`K _(1) = ([ H ^(+)][H_(2)PO _(4)^(-)])/([H_(3) PO _(4) ]) , K _(2) = ([ H ^(+) ][HPO _(4) ^(2-)])/([H _(2) PO _(4) ^(-)]) , K _(3) = ([ H ^(+)][PO _(4) ^( 3-)])/( [HPO _(4) ^(2-)])`
Multiplaying these three, `K _(1) xx K _(2) xx K _(3) = ([ H ^(+)][PO _(4) ^(3+)])/([H _(3) PO _(4)])`
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