Two buffer solutions, `A` and `B`, each made acetic acid and sodium acetate differ in their `pH` by one unit, `A` has satl: acid `=x: y`, has salt: acid `=y :x.` If `x gt y`, then the value of `x : y` is

Options

A. `10,000`
B. `3.17`
C. `6.61`
D. `2.10`

Answer

B

Explanation

Buffer `(A):`
`pH_(1) =pK_(a) + log ((x)/(y)) …(i)`
Buffer `(B):`
`pH_(2) = pK_(a) + log ((x)/(y)) …(ii)`
Since `x gty`.
`:. pH_(1) - pH_(2) = 1 = "log" (x)/(y) -"log"(y)/(x)`
`:. 1=2"log"(x)/(y)`
`"log"(x)/(y) = (1)/(2) = 0.5`
`(x)/(y) = "Antilog" (0.5) = 3.17`.