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Among the following which one is the unit of rate constant for nth order reaction?

Option: 1

\mathrm{L^{(n-1)}mol^{(1-n)}t^{-1}}


Option: 2

\mathrm{L^{(n-1)}mol^{-1}t^{-1}}


Option: 3

\mathrm{L^{(n-1)}mol^{(1-n)}t^{-2}}


Option: 4

none of above


Answers (1)

best_answer

nth Order Kinetics -

The rate of the reaction is proportional to nth power of the reactant.

Differential rate law

\frac{dx}{dt} = k(a-x)^{n}

a= initial, concentration of reactant at t=0 sec

= concentration of product formed at t= t sec


Unit of k for nth order reaction is : 

\mathrm{mol\ L^{-1}t^{-1}}=\mathrm{(\text{unit of k}) \ (mol\ L^{-1})^n}

\mathrm{(\text{unit of k}) = L^{n-1}mol^{1-n}t^{-1}}


Therefore, option(1) is correct

Posted by

sudhir.kumar

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