The rate constant of the Decay of Radium with half life of 1620 years is 0.0004277/year.
We know, every radioactive reaction is a first order reaction.
So, it will follow the first order kinetics.
The half life of the radium sample is 1620 years.
We know, the standard formula for the half life of the first order reaction is,
T = 0.693/K
Where,
T is the half life of the reaction,
L is the rate constant of the reaction.
It is given that the half life of the reaction is 1620 years, so, putting all the values,
T = 0.693/K
K = 0.693/1620
K = 0.0004277/year.
So, the rate constant of the decay of radium is 0.0004277/year.
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