For a first order reaction A Products, initial concentration of A is 0.1 M, which becomes 0.001 M after 5 minutes. Rate constant for the reaction in is [2022]

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Solution

Q.
For a first order reaction A $\to$ Products, initial concentration of A is 0.1 M, which becomes 0.001 M after 5 minutes. Rate constant for the reaction in $\min^{- 1}$ is [2022]

1 1.3818

2 0.9212

3 0.4606

4 0.2303

Ans.
(2)

For a first order reaction

$k = \frac{2.303}{t} \log \frac{a}{a - x}$

$k = \frac{2.303}{5} \log \frac{0.1}{0.001}$

$k = \frac{2.303}{5} \log 10^{2} = \frac{2.303 \times 2}{5} = 0.9212$ ${min}^{- 1}$

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