Decomposition of X exhibits a rate constant of 0.05 mg/year. How many years are required for the decomposition of 5 mg of X into 2.51 g?

Engineering

Chemistry

Integrated Rate Law

Kinetics of Radioactive Decay

Question

Decomposition of X exhibits a rate constant of 0.05 mg/year. How many years are required for the decomposition of 5 mg of X into 2.51 g?

A

25

B

20

C

40

D

50

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According to unit of rate constant it is a zero order reaction then half life of reaction will be

$t_{1 / 2} = \frac{C_{0}}{2 k} = \frac{5 μg}{2 \times 0 .05 μg / year} = 50 year$