SATHEE: Equilibrium Question 280

Equilibrium Question 280

Question: What is $[H^{+}]$ of a solution that is $0.01, M$ in $H C N$ and $0.02, M$ in $N a C N$

$(K_{a}$ for $H C N = 6.2 \times 10^{- 10})$ [MP PMT 2000]

Options:

A) $3.1 \times 10^{10}$

B) $6.2 \times 10^{5}$

C) $6.2 \times 10^{- 10}$

D) $3.1 \times 10^{- 10}$

Show Answer

Answer:

Correct Answer: D

Solution:

$K_{a} = \frac{[H^{+}] [C N^{-}]}{[H C N^{-}]}$

$6.2 \times 10^{- 10} = \frac{[H^{+}] [0.02]}{[0.01]}$

$[H^{+}] = \frac{6.2 \times 10^{- 10} \times 0.01}{0.02} = 3.1 \times 10^{- 10}$

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