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Salt of Weak Acid and Strong Base

What would be...

Question

What would be the pH of a solution obtained by mixing $5 g$ of acetic acid and $7.5 g$ of sodium acetate and making the volume equal to : $500 m L$ ?( $K_{a} = 1.75 \times 10^{- 5}, p K_{a} = 4.76$ )

p H = 4.49

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p H < 4.70

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p H

of solution will be equation to

p H

of acetic acid

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4.8

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Solution

The correct option is A $p H = 4.49$
$C H_{3} C O O H + C H_{3} C O O N a \Rightarrow$ Acidic Buffer $s o l^{n}$
$[C H_{3} C O O H] = \frac{M o l e s}{V o l u m e} = \frac{\frac{5}{60}}{0.5} = 0.16 m$
$[C H_{3} C O O H a] = \frac{m o l e s}{v o l u m e} = \frac{\frac{7.5}{82}}{0.5} = 0.182 M$
$p H = p^{K a} + log \frac{[s a l t]}{[a c i d]}$
$4.76 + log \frac{0.182}{0.16}$
$4.499$

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