CUET · CHEMISTRY · PYQ PAPER 2023
A drop of solution (Volume \(0.05\text{ mL}\)) contains \(3.0 \times 10^{6}\) mole of \(\text{H}^{+}\) ions. If the rate constant of disappearance of \(\text{H}^{+}\) is \(1.0 \times 10^{7}\text{ mol litre}^{-1}\text{ sec}^{-1}\), how long will take \(\text{H}^{+}\) ions to disappear?
- A \(6 \times 10^{-8}\text{ s}\)
- B \(6 \times 10^{-9}\text{ s}\)
- C \(6 \times 10^{-7}\text{ s}\)
- D \(6 \times 10^{-10}\text{ s}\)
Answer & Solution
Correct Answer
(B) \(6 \times 10^{-9}\text{ s}\)
Step-by-step Solution
Detailed explanation
\([\text{H}^{+}]_{0} = \frac{3.0 \times 10^{-6}\text{ mol}}{0.05 \times 10^{-3}\text{ L}} = 6.0 \times 10^{-2}\text{ M}\) \(t = \frac{[\text{H}^{+}]_{0}}{k} = \frac{6.0 \times 10^{-2}\text{ M}}{1.0 \times 10^{7}\text{ mol L}^{-1}\text{ s}^{-1}} = 6.0 \times 10^{-9}\text{ s}\)
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