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The K(a) value of formic acid and acetic...

The `K_(a)` value of formic acid and acetic acid are respectively `1.77 xx 10^(-4)` and `1.75 xx 10^(-5)` . The ratio of the acid strength of 0.1 N acids is

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The correct Answer is:
3.18

`(3.18) HA hArr H^(+) + A^(-) , K_(a) = ([H^+][A^-])/([HA])`
Let C `moL^(-1)` be the conc. And `alpha` its degree of dissociation
`therefore K_a = (C alpha xx C alpha)/(C(1-alpha)) = C alpha^2` (when `alpha` is very small)
`therefore a = sqrt((K_a)/(C))` when C is constant, `[H^+] prop alpha`
`therefore (alpha_1)/(alpha_2) = sqrt((K_(a1))/K_(a2)) = sqrt((1.77 xx 10^(-4))/(1.75 xx 10^(-5)))`
`= sqrt(10) ~~ 3.18`
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