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

Case-I:
`{:(CH_(3)COONa+,HClrarr,CH_(3)COOH+,NHCl),(1,1,0,0),(0,0,1,1):}`
`p^(H) = 1/2 [P^(Ka) + "log"C]`
`(p^(H))_(1) = 1/2p^(Ka)`
Case - II
`(p^(H))_(2) = p^(Ka) + "log" (["Salt"])/(["Acid"])`
`(p^(H))_(2) = p^(Ka) + "log"1`
`:. (p^(H))_(1)/(p^(H))_(2) = 1/2`