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What is the pH of 0.01 M glycine solutio...

What is the `pH` of `0.01 M` glycine solution? For glycine, `K_(a_(1))=4.5xx10^(-3)` and `K_(a_(2))=1.7xx10^(-10)` at `298 K`

A

`3.0`

B

`10.0`

C

`6.1`

D

`7.2`

Text Solution

Verified by Experts

The correct Answer is:
C
Glycine `H_(3)N^(+)CH_(2)CO O^(-)` is more acidic than basic. Instead of `K_(b)` value, the second given `K_(a)` value is corresponding to the `K_(b)` value `(.:' K_(a)xxK_(b)=10^(-14))`.Hence, overall ionization constant,
`K_(a_(1))xxK_(a_(2))=4.5xx10^(-3)xx1.7xx10^(-10)`
`=7.65xx10^(-13)`
`[H^(+)]=sqrt(KC)=sqrt(7.65xx10^(-13)xx0.01)`
`=sqrt(0.765xx10^(-14))=0.87xx10^(-7)M`
`pH = - log (0.87xx10^(-7))=7-0.93=6.07`
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