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Question

Question: For a reaction 2A $\rightarrow$ products, the rate constant is found to be 0.0693 $\text{min}^{-1}$....

For a reaction 2A \rightarrow products, the rate constant is found to be 0.0693 min1\text{min}^{-1}. What is the half-life of the process?

Answer

10 min

Explanation

Solution

The given rate constant's unit (min1\text{min}^{-1}) signifies a first-order reaction. For a first-order reaction, the half-life (t1/2t_{1/2}) is calculated using the formula t1/2=ln(2)kt_{1/2} = \frac{\ln(2)}{k}. Substituting the given rate constant k=0.0693min1k = 0.0693 \, \text{min}^{-1} and ln(2)0.693\ln(2) \approx 0.693, we get t1/2=0.6930.0693=10mint_{1/2} = \frac{0.693}{0.0693} = 10 \, \text{min}.