Question

These exercises use the radioactive decay model. The mass m(t) remaining after t days from a 40-g sample of thorium-234 is given by m(t)=40e⁻⁰.⁰²⁷⁷ᵗ. How much of the sample will remain after 60 days?

Answer 1

After 60 days, approximately 8.74 grams of the thorium-234 sample will remain.

Step-by-step explanation:

To find out how much of the sample will remain after 60 days, we can use the given equation m(t) = 40e^(-0.0277t), where m(t) is the mass remaining after t days from a 40-g sample of thorium-234. Plugging in t = 60 into the equation, we have m(60) = 40e^(-0.0277(60)). Evaluating this expression, we find that about 8.74 grams of the sample will remain after 60 days.