The half life for the decay of radium is 1620 years. What is the rate constant for this first-order process?.

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21-10-2022
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The half life for the decay of radium is 1620 years. What is the rate constant for this first-order process?.

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zaibfatimarizvi zaibfatimarizvi · Answer 1 · 2022-10-30T19:32:19-04:00

The first order rate constant for radium with a half-life for decay of radium equal to 1620 years is 4.28 x 10^-4 year^-1.

The time needed for half of the original population of radioactive atoms to decay is called the half-life. It is the time scale which is used in nuclear chemistry to sow the time in which the concentration of a nuclear substance decreases and becomes half as compared to initial concentration.

The relationship between the half-life, T1/2, and the decay rate constant (λ) is given by T1/2 = 0.693/λ. In order to calculate the rate constant for the radium:

T1/2=1620 years

Hence,

1620 = 0.693/λ

λ = 0.693/1620yrs =0.0004277= 4.28x10^-4 year^-1

Hence, the rate constant of decay of radium is 4.28x10^-4 year^-1

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