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First Order Reaction

In a particul...

Question

In a particular process, the concentration of a solution that is initially 0.24 M is reduced to 0.12 M in 10 hr and 0.06 M in 20 hr.
$6.93 \times 10^{- x} h r^{- 1}$ is the rate constant for the reaction ?
value of x is_____.

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Solution

As $t_{1 / 2}$ is independent of initial concentration, it is a first order reaction.
$t_{1 / 2}$ = 10 hr
$∴ k = \frac{0.693}{10} = 6.93 \times 10^{- 2} h r^{- 1}$

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