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Chapter 24: Q24.37 P (page 1104)

If one-trillionth of the atoms of a radioactive isotope disintegrate each day, what is the decay constant of the process?

Short Answer

Expert verified

The decay constant is1脳10鈭�12day鈭�1.

Step by step solution

01

Definition of decay constant

The size of a population of radioactive atoms and the pace at which the population diminishes due to radioactive decay are proportionate.

02

Calculation of the decay constant

A: represents the activity, the amount of particles that have degraded during time.

N: number of particles

k: decay constant

Every day, one trillionth of the atoms dissolve.

A=11脳1012decays/day.N

Now, using this equation, compute the decay constant.

A=k鈰�Nk=AN=11脳1012decays/day鈰�NN=1脳10鈭�12day鈭�1.

Therefore, the computed value is 1脳10鈭�12day鈭�1.

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