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0.1 M solution of H(3)A being a weak tri...

0.1 M solution of `H_(3)A` being a weak triprotic acid having `K _(a _(1)) , K _(a _(2)) and K _(a _(3))` as `10 ^(-5) , 10 ^(-9) and 10 ^(-13)` respectively. If pX represents `- logX and X= ""([ A ^(3-) ])/( [ HA ^(2-)]),` then the value of pX is:

A

7

B

8

C

10

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
`[H^(+)]` ae obtained in dissociation of `H _(3)A` in all the three steps, but the `[H ^(+)]` obtained in II & III steps are too law. Thus `[H^(+)]` can be obtained from 1 step
Now, `K _(3) = ([ H ^(+) ] [ A ^(3-)] )/( [HA ^(2-)] ) , [HA ^(2- ) hArr H ^(+) + A ^(3-)` II Step]
`10 ^(-13) = (10 ^(-3) xx [A ^(3-)] )/( [HA ^(2-)] ) therefore ([ A ^( 3- )])/([HA ^(2-)]) = 10 ^(-10) therefore pX = 10`
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