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Weak acids dissociate partially in aqueo...

Weak acids dissociate partially in aqueous medium. If any common ion is present in the solution, the degree of dissociation of the acid is suppressed however the dissociation constant value remains constant.
What is the degree of dissociation of water is 0.0IM HCOOH `(K_(a) = 10^(-6))` at `25^(@)` C?

A

` 1.8 xx 10 ^(-12) `

B

` 1.8 xx 10 ^(-14) `

C

` 0.8 xx 10^(-12) `

D

` 3.6 xx 10^(-10 ) `

Text Solution

Verified by Experts

The correct Answer is:
A
From acid , ` [H^(+) ] =sqrt( K_a. C) rArr [H^(+) ] =10 ^(-4) M`
` " at " 25^(@) C ,K_W =[H^(+) ] [OH^(-) ]`
` 10 ^(-14) =(10 ^(-14) )[OH^(-)]`
` [OH^(-) ]=10 ^(-10) M` , In water `[H^(+) ] =10 ^(-10) M`
` alpha =( 10 ^(-10))/( 55.5 ) rArr alpha = 1.8 xx 10 ^(-12) `
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