The plot of t_{1/2} versus [R]_0 for a reacti | vedclass

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(B) For a reaction,the half-life $t_{1/2}$ is related to the initial concentration $[R]_0$ by the expression $t_{1/2} \propto [R]_0^{1-n}$,where $n$ i

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$s^{-1}$

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(B) For a reaction,the half-life $t_{1/2}$ is related to the initial concentration $[R]_0$ by the expression $t_{1/2} \propto [R]_0^{1-n}$,where $n$ is the order of the reaction.If the plot of $t_{1/2}$ versus $[R]_0$ is a straight line parallel to the $x$-axis,it implies that $t_{1/2}$ is independent of the initial concentration $[R]_0$.This occurs when $1-n = 0$,which means $n = 1$.Therefore,the reaction is a first-order reaction.The unit of the rate constant for a first-order reaction is $s^{-1}$.

The plot of $t_{1/2}$ versus $[R]_0$ for a reaction is a straight line parallel to the $x$-axis. The unit for the rate constant of this reaction is:

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