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Lewis Theory

What concentr...

Question

What concentration of $H C O O^{-}$ is present in a solution of $0.01 M H C O O H (K_{a} = 1.8 \times 10^{- 4})$ and $0.01 M H C l$ ?

1.8 \times 10^{- 2} M

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10^{- 2} M

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1.8 \times 10^{- 4} M

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10^{- 4} M

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Solution

The correct option is B $1.8 \times 10^{- 4} M$
$H C O O H C - x ⇌ H^{+} x + 0.01 + H C O O^{-} x$
$K_{a} = \frac{(x + 0.01) x}{0.01 - x}$
neglect x w.r.t. $0.01$ due to common ion effect
$K_{a} = x$
$∴ x = [H C O O^{-}] = 1.8 \times 10^{- 4}$

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