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Two buffer solutions A and B each made w...

Two buffer solutions `A` and `B` each made with benzoic acid and sodium benzoate differ in their `pH` by two units. A has salt`:` acid`a:b. B` has salt`:` acid `=b:a.` If `agtb`, then the value of `a:b` is
`a. 3.17" "b.10.0" "c.3.0" "d. 6.0`

A

`10,000`

B

`3.17`

C

`6.61`

D

`2.10`

Text Solution

Verified by Experts

The correct Answer is:
B

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`.
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