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The degree of ionisation of a 0.1 M br...

The degree of ionisation of a 0.1 M bromoacetic acid solution is 0.132. Calculate the pH of the solution and the `rhoK_a` bromoacetic acid.

Text Solution

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`CH_(2)(Br)COOH + H_(2)O to CH_(2)(Br)COO^(-) + H_(3)O^(+)`
Initial conc. C 0 0
Equil. Conc. `C-Calpha` `Calpha` `Calpha`
`K_(a)=(Calpha.Calpha)/(C(1-alpha))=(Calpha^(2))/(1-alpha)implies K_(a)=Calpha^(2)` [For weak acid `(1-alpha)approx1`]
`K_(a)=0.1xx(0.132)^(2)=0.00174 approx 1.74xx10^(-3)`
`pH=-logsqrt(K_(a)C)=-logsqrt(1.74xx10^(-3)xx0.1)=1.88` `[H^(+)]=Calpha=sqrt(K_(a)xxC)]`
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