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Q. The rate of the reaction, $ A+B+C$ $\rightarrow$ $P$ is given by :
$r=-\frac{d \left[A\right]}{ d t}$ $=k \left[A\right]^{1 /2}$ $\left[B\right]^{1 /2}$ $\left[C\right]^{1/ 4}\cdot$ The order of the reaction is

Chemical Kinetics

Solution:

As we know,
For a reaction, $A + B \rightarrow$ Product, if rate $= K [ A ]^{ m }[ B ]^{ n }$, the order of reaction $= m + n$.
So here for the given reaction, order of reaction $=1 / 2+1 / 2+1 / 4=5 / 4$