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,+,HCl,rarr,CH_(3)COOH,+,NaCl),(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 `" "P-l_(1)=-(1)/(2)logK_(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)`