Choose the one alternative that best completes the statement or answers the question.
-The half-life of silicon-32 is 710 years. If 10 grams is present now, how much will be present in 800 years? (Round your answer to three decimal places.)
A) 0.004
B) 9.249
C) 4.579
D) 0

Question

Quizplus · Accepted Answer

The amount of a radioactive substance remaining after a certain time can be calculated using the formula: $ N(t) = N_0 \times (1/2)^{t/T} $, where $ N_0 $ is the initial amount, $ t $ is the time elapsed, and $ T $ is the half-life. For silicon-32, $ N_0 = 10 $ grams, $ t = 800 $ years, and $ T = 710 $ years. Plugging these values into the formula gives $ N(800) = 10 \times (1/2)^{800/710} \approx 4.579 $ grams.

Choose the One Alternative That Best Completes the Statement or Answers