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The degree of ionization of a 0.1M bromo...

The degree of ionization of a 0.1M bromoacetic acid solution is 0.132. Calculate the pH of the solution and the `pK_(a)` of bromoacetic acid.

Text Solution

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Degree of dissociation , `alpha`=0.132
Concentration of `H_3O^+` ion ,
`[H_3O^+]= c alpha = 0.1xx0.132`=0.0132 M
pH=-log `[H_3O^+]`
=-log (0.0132)
=-(-1.88)=1.88
The dissociation constant ,
`K_a = (c alpha^2)/(1-alpha)`
`=(0.1xx(0.132)^2)/(1-0.132)=2.01xx10^(-3)`
`pK_a=-log K_a`
=-log `(2.01xx10^(-8))`
=-(-2.7) =2.7
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