Calculate the overall order of a reaction which has the rate expression

$(a)$ Rate $=k[ A ]^{1 / 2}[ B ]^{3 / 2}$

$(b)$ Rate $=k[ A ]^{3 / 2}[ B ]^{-1}$

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$(a)$ Rate $=k[ A ]^{ x }[ B ]^{ y }$

order $=x+y$

So order $=1 / 2+3 / 2=2,$ i.e., second order

$(b)$ order $=3 / 2+(-1)=1 / 2,$ i.e., half order.

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