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  4. If the rate constant of a reaction has the value k=163 × 10-4( mol )-(1/2) s -1, the order of the reaction is

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Q. If the rate constant of a reaction has the value $k=163 \times 10^{-4}( mol )^{-\frac{1}{2}} s ^{-1}$, the order of the reaction is

AMUAMU 2012Chemical Kinetics

Solution:

Rate constant, $k=1.63 \times 10^{-4}( mol )^{-1 / 2} s ^{-1}$
For nth order reaction, $k=\frac{\text { Rate }}{(\text { conc })^{n}} \frac{\text { Conc. }}{\text { time }} \times \frac{1}{(\text { Conc })^{n}}$
$Sl$ units of concentration is $mol L^{-1}$ and time is $s$.
Therefore, the units of $k= mol ^{-1 / 2} s ^{-1}$ cannot be possible.