For a reaction $A+ B\to $  Products, the rate law is - Rate $=$ $k\,[A]\, [B]^{\frac {3}{2}}$ . Can the reaction be an elementary reaction ? Explain.

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The reaction is not elementary because order of the reaction is fractional $1+\frac{3}{2}=\frac{5}{2}$. Fractional order reaction can't be elementary.

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  • [JEE MAIN 2016]

For reaction a $A \to x\;P$, when $[A] = 2.2\,m\,M$, the rate was found to be $2.4\;m\,M\;{s^{ - 1}}$. On reducing concentration of $A$ to half, the rate changes to $0.6\;m\,M\;{s^{ - 1}}$. The order of reaction with respect to $A$ is

  • [AIIMS 2005]

For a given reaction ${t_{1/2}} = \frac{1}{{Ka}}.$. The order of the reaction is