1.

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

Answer»

10
3.178
0.3
0.1

Solution :`HA hArr H^(+) + A^(-), K_(a) = ([H^(+)][A^(-)])/([HA])`
LET `C MOL L^(-1)` be the conc. and `alpha` its DEGREE of dissociation
`:. K_(a) = (C alpha xx C alpha)/(C (1 - alpha)) = C alpha^(2)` (where `alpha` is very small)
`:. alpha = sqrt((K_(a))/(C))` where C is constant, `[H^(+)] prop alpha`
`:. (alpha_(1))/(alpha_(2)) = sqrt((K_(a_(1)))/(K_(a_(2)))) = sqrt((1.77 xx 10^(-4))/(1.75 xx 10^(-5)))`
`= sqrt(10) = 3.178`


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