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What amount of solid acetate should be a...

What amount of solid acetate should be added into 1 litre of the `0.1 M CH_(3)COOH` solution so that the resulting solution has pH almost equal to `pK_(a) (CH_(3)COOH) = 4.74`.

A

`12 gm`

B

`5 gm`

C

`10 gm `

D

`14.924 gm`

Text Solution

Verified by Experts

The correct Answer is:
4

Since the resulting solution be acidic buffer , one may use Henderson equation.
`pH = pK_(a) + log .([CH_(3)COO^(-)])/([CH_(3)COOH]) `
Let n mol of `CH_(3)COONa` be added to do so
or , `pH = 4.74 + log[((n(mol))/(v(L)))/((0.1(mol))/(v(L)))] " or , " 5 = 4.74 + log [n/(0.1)]`
or, `log . n/(0.1) = 0.26 " or," n/(0.1) = " antilog " 0.26 = 1.8197`
`:. n = 0.1897 mol ~= 0.182 ` mol
amount of sodium acetate = `0.182 xx 82 gm = 14.924` gm
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