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Q. 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 $2.5\, \mu g$ ?

Chemical Kinetics

Solution:

According to unit of rate constant, it is a $z$ order reaction. The half-life of zero or reaction:
$t _{1 / 2}=\frac{[ A ]_{0}}{2 k }=\frac{5}{2 \times 0.05}=50 $ years