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(A) The unit of the rate constant is $\mu g/year$,which indicates that the reaction is of zero order.For a zero order reaction,the integrated rate law

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$50$

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(A) The unit of the rate constant is $\mu g/year$,which indicates that the reaction is of zero order.For a zero order reaction,the integrated rate law is $[A] = [A]_0 - kt$.Here,$[A]_0 = 5 \ \mu g$,$[A] = 2.5 \ \mu g$,and $k = 0.05 \ \mu g/year$.Substituting these values: $2.5 \ \mu g = 5 \ \mu g - (0.05 \ \mu g/year) 	imes t$.$0.05 \ \mu g/year 	imes t = 2.5 \ \mu g$.$t = \frac{2.5 \ \mu g}{0.05 \ \mu g/year} = 50 \ years$.

Decomposition of $X$ exhibits a rate constant of $0.05 \ \mu g/year$. How many years are required for the decomposition of $5 \ \mu g$ of $X$ into $2.5 \ \mu g$?

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