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The ratio of pH of solution (1) containi...

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 `:`

A

`1:2`

B

`2:1`

C

`1:3`

D

`3:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Solution (I) `to {:(CH_(3)COONa,+,HCl,to,CH_(3)COOH,+,NaCl),(1,,1,,0,,0),(0,,0,,1,,1):}`
` :. [CH_(3)COOH] = ("No of moles ")/("Volume of solution ") = 1/1 = 1 `
` [H^(+)] = C prop sqrt((K_(a))/C ) = sqrt(K_(a)C) = sqrt(K_(a))`
i.e `pH_(1) = -1/2 log K_(a) = 1/2 pK_(a)`
Sloution `to {:(CH_(3)COONa,+,CH_(3)COOH),(1,,1):}`
`pH_(2) =pK_(a) +log. 1/1`
`pH_(2) = pK_(a)`
` :. (pH_(1))/(pH_(2)) = 1/2`
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