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Factors Affecting Alpha

A weak acid, ...

Question

A weak acid, HA has a $K_{a}$ of $1.00 \times 10^{- 5} .$ If 0.100 mol of this acid is dissolved in one litre of water, the percentage of acid dissociated at equilibrium is closest to

A

0.100%

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B

99.0%

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C

1.00%

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D

99.9%

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Solution

The correct option is C
1.00%

We know that $K a = C a l p h a^{2}$

$o r α = \sqrt{\frac{K_{a}}{C}} = \sqrt{\frac{10^{- 5}}{10^{- 1}}} = 10^{- 2} = 0.001 = 1$

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