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Derive rate constant units for third order reactions. - Chemistry (Theory)

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Question

Derive rate constant units for third order reactions.

Derivation
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Solution

For a third order reaction,

Rate = k [A]3

or \[\ce{k = \frac{Rate}{[A]^3}}\]

= \[\ce{\frac{conc time^{-1}}{conc^3}}\]

= conc.−2 time−1

If concentration is expressed in mol L−1 and time in seconds, the units will be mol−2 L2 s−1.

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