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Question
State the order of reaction whose rate constant possess the following unit:
hour−1
Numerical
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Solution
If the unit of the rate constant k is hour−1, that means it has only the reciprocal of time in its units, without any concentration term.
From the general formula for units of k for an n-th order reaction:
Units of k = (concentration)1−n ⋅ time−1
For the units to be just time−1, the concentration term must be (concentration)0, which happens when:
1 − n = 0
n = 1
∴ The reaction is of first order.
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