1.

Calculate `[H^(o+)]` and `[overset(Θ)OH]` in `10^(-3)M` solution of monobasic acid which is `4.0%` ionised. What is the `pH,K_(a)` and `pK_(b)` of the acid.

Answer» `{:(,CH_(3)COOH+,H_(2)O,hArr,CH_(3)COO^(Theta) +,H_(3)O^(oplus)),("initial",10^(-3)M,-,,-,-),("concentration",,,,,),("Equilibrium",10^(-3)(1-alpha),-,,C alpha,C alpha),("concentration",~~ 10^(-3),,,,):}`
Given `alpha = (4.0)/(100) = 4 xx 10^(-2)`
a. `[H_(3)O^(o+)] = Calpha = 10^(-3) xx 4xx 10^(-2) = 4 xx 10^(-5)`
`pH =- log (4 xx 10^(-5)) =- 2log 2+5`
`=- 2xx 0.3 +5 = 4.4`
`:. pH = 4.4`
b. `pOH = 14 - 4.4 = 9.6`
`- log [overset(Θ)OH] = 9.6, log [overset(Θ)OH]`
`=- 9.6`
`=- 9-0.6 +1-1= bar(10).4`
`:. [overset(Θ)OH] = 2.5 xx 10^(-10)M`
c. `K_(a) = Calpha^(2) = 10^(-3) xx (4xx10^(-2))^(2) = 1.6 xx 10^(-6)`
`pK_(a) =- log (1.6 xx 10^(-6)) =- log (16 xx 10^(-7))`
`=- 4log 2+7`
`=- 1.2 +7 = 5.8`
`:.pK_(a) = 5.8`


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