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Q.

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

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a

10000

b

3.17

c

6.61

d

2.10

answer is B.

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Detailed Solution

Buffer $(A) :$
${pH}_{1} = p K_{a} + \log (\frac{x}{y})$ ……….(i)
Buffer $(B) :$
${pH}_{2} = p K_{a} + \log (\frac{y}{x})$ ………. (ii)
Since $x > y$
$\begin{array}{l} ∴ {pH}_{1} - {pH}_{2} = 1 = \log \frac{x}{y} - \log \frac{y}{x} \\ ∴ 1 = 2 \log \frac{x}{y} \\ \log \frac{x}{y} = \frac{1}{2} = 0.5 \\ \frac{x}{y} = 10^{0.5} = 3.17 \end{array}$

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