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What is the unit of k of a $n^{th}$ order reaction?

$\begin{array}{1 1} M^{\large\frac{1-n}{n}} s^{−1} \\ M^{n-1} s^{−1} \\ M s^{−1} \\ M^{1-n} s^{−1} \end{array}$

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Answer: M$^{1-n}$ s$^{−1}$
The units of the rate constant depend on the global order of reaction: If concentration is measured in units of mol·L$^{−1}$ (sometimes abbreviated as M), then:
For order one, the rate coefficient has units of s$^{−1}$, which can be written as M$^{1-1}$ s$^{−1}$
For order two, the rate coefficient has units of M$^{-1}$s$^{−1}$, which can be written as M$^{1-2}$ s$^{−1}$
For order three, the rate coefficient has units of M$^{-2}$s$^{−1}$, which can be written as M$^{1-3}$ s$^{−1}$
Generalising for order n, the rate coefficient will have units of M$^{1-n}$ s$^{−1}$
answered Dec 16, 2013 by sreemathi.v
edited Jul 26, 2014 by balaji.thirumalai

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