1.

`HCOOH` and `CH_(3)COOH` solutions have equal `pH.` If `K_(1)//K_(2)` is `4`, the ratio of their molar concentration will beA. `0.25`B. `0.5`C. `2`D. `4`

Answer» Correct Answer - A
Since `pH` is same for two acids.
`:. [H^(o+)]_(1) = [H^(o+)]_(2)`
Thus, `C_(1)alpha_(1) = C_(2)alpha_(2)`
`(K_(a_(1)))/(K_(a_(2))) = (C_(1)alpha_(1)^(2))/(C_(1)alpha_(2)^(2)) = (alpha_(1))/(alpha_(2)) …(i)`
`alpha_(1) = sqrt((K_(a_(1)))/(C_(1))), alpha_(2) = sqrt((K_(a_(2)))/(C_(2)))`
`:. (alpha_(1))/(alpha_(2)) = sqrt((K_(a_(1))C_(2))/(K_(a_(2))C_(1)))`
Substituting from equation (i) the value of `alpha_(1)//alpha_(2)`
`(K_(a_(1)))/(K_(a_(2))) = sqrt((K_(a_(1))C_(2))/(K_(a_(2))C_(1)))`
`:. (K_(a_(1)))/(K_(a_(2))) = (C_(2))/(C_(1))`
`4 = (C_(2))/(C_(1))`
`:. C_(1) : C_(2) = (1)/(4) = 0.25`


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