Chemistry

Chemistry

Problem

Nuclei of a radioactive element

A

are being produced at a constant rate

\alpha

. The element

A

has a decay constant

\lambda

. At time

t = 0

, there are

N_0

nuclei of element

A

. a. Calculate the number of nuclei (

N

) of

A

at any time

t

. b. If

\alpha = 2\lambda N_0

, calculate the number of nuclei of

A

after one half-life of

A

and also the limiting value of

N

as

t \to \infty

.

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