Answer to Question #282252 in Atomic and Nuclear Physics for BIGIRMANA Elie

Question

4. How much time is required for 5mg of 22Na (T

1

2 = 2.60 yrs) to reduce to 1 mg?

Answer 1

$N=N_0\times(\frac{1}{2})^{\frac{t}{t_{1/2}}}$

$1\ mg=5\ mg\times(\frac{1}{2})^{\frac{t}{2.60\ years}}$

Solving for t, we get t = 6.04 years.

Answer: 6.04 years