Use the law of radioactive decay to determine the activity of a 2.0-$\mu$g sample of Tc-99, t_½ = 2.2 * 10⁵ y.

Question

Quizplus · Accepted Answer

The law of radioactive decay is given by the equation:

A = A0 e^(-λt)

Where,
A = activity at any given time
A0 = initial activity
λ = decay constant
t = time elapsed

The decay constant for Tc-99m is 2.2 x 10^-6 s^-1.

Substituting the given values:

A = A0 e^(-2.2 x 10^-6 x 31536000)

where 31536000 is the number of seconds in a year.

Solving for A, we get:

A = 3.3 x 10^8 Ci

Therefore, the best choice is D, which is closest to the calculated activity.

Use the Law of Radioactive Decay to Determine the Activity μ\muμ