The ratio of `pH` of solution `(1)` containing 1 mole of` CH_(3)COONa` and 1 mole of `HCl` and solution `(II)` containing 1 mole of `CH_(3)COONa` and 1 mole of acetic acid in one litre is `:`

Options

A. `1:2`
B. `2:1`
C. `1:3`
D. `3:1`

Answer

A

Explanation

`{:(CH_(3)COONa+,HCIrarr,CH_(3)COOH+,NaCI),(1,1,0,0),(0,0,1,1):}`
`:. [CH_(3)COOH]= (1)/(1)=1`
`:. [H^(+)]=Calpha=Csqrt((K_(a))/(C ))= sqrt(K_(a).C)= sqrt(K_(a))`
or `pH_(1)= -(1)/(2)log K_(a)= (1)/(2)pK_(a)`
`{:(CH_(3)COOH+CH_(3),COONa),(1,1):}`
`:. pH=pK_(a)+log((1)/(1))`
`pH_(2)=pK_(a)`
`:. (pH_(1))/(pH_(2))=(1)/(2)`