At a certain temperature the dissociation constants of formic acid and acetic acid are $1.8 \times 10^{-4}$…

At a certain temperature the dissociation constants of formic acid and acetic acid are $1.8 \times 10^{-4}$ and $1.8 \times 10^{-5}$ respectively. The concentration of acetic acid solution in which the hydrogen ion has the same concentration as in $0.001 \mathrm{M}$ formic acid solution is equal to
  1. $0.001 \mathrm{M}$
  2. $0.01 \mathrm{M}$
  3. $0.1 \mathrm{M}$
  4. $0.0001 \mathrm{M}$

Solution

\(\begin{aligned} & H^{+}=\sqrt{K \cdot C} \\ & \sqrt{K_1 C_1}=\sqrt{K_2 C_2} \\ & K_1 C_1=k_2 C_2 \\ & 1. 8 \times 10^{-4} \times 0.001=1.8 \times 10^{-5} \times C_2 \\ & C_2=\frac{10^{-7}}{10^{-5}}=10^{-2} \\ &=0.01\end{aligned}\) .

Asked in: JEE-TOPICTESTS-CHEMISTRY

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