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Van't Hoff Factor

The K a of ...

Question

The $K_{a}$ of acetic acid is $2 \times 10^{- 5}$ . What is the $p H$ of a $0.5 M$ solution of acetic acid?

A

1.0

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B

2.0

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C

2.5

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D

3.0

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Solution

The correct option is A $2.5$
Given that,
$K_{a} = 2 \times 10^{- 5}, C = 05 M$
We know that,
$\propto= \sqrt{\frac{K_{a}}{C}} = \sqrt{\frac{2 \times 10^{- 5}}{0.5}}$

$\propto= \sqrt{0.4 \times 10^{- 4}} = 0.632 \times 10^{- 2}$

$H^{+} = C \propto= 0.632 \times 10^{- 2} \times 0.5$

$H^{+} = 0.316 \times 10^{- 2} = 0.00316$

$p H = - log (0.00316) = 2.5$

$p H = 2.5$

option C

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