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Chapter 24: Q24.38 P (page 1104)

If2.8脳10鈭�10% of the atoms of a radioactive isotope disintegrate in1.0yr , what is the decay constant of the process?

Short Answer

Expert verified

The decay constant value is2.8脳10鈭�12year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: 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=2.8脳10鈭�10%decays/year鈰�N=2.8脳10鈭�10decays/year100鈰�N=2.8脳10鈭�12decays/year鈰�N.

Now, using this equation, compute the decays constant.

A=k鈰�Nk=AN=2.8脳10鈭�12decays/year鈰�NN=2.8脳10鈭�12year鈭�1.

Therefore, the computed value is 2.8脳10鈭�12year鈭�1.

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Most popular questions from this chapter

The fraction of a radioactive isotope remaining at time t is12t/t1/2 , wheret1/2 is the half-life. If the half-life of carbon-14 is 5730yr , what fraction of carbon- 14 in a piece of charcoal remains after

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