Solve.
-The half- life of silicon- 32 is 710 years. If 50 grams is present now, how much will be present in 500 years? (Round your answer to three decimal places.)
A) $0.379 \mathrm{~g}$
B) $30.689 \mathrm{~g}$
C) $0 \mathrm{~g}$
D) $47.618 \mathrm{~g}$

Question

Quizplus · Accepted Answer

The amount of silicon-32 remaining after 500 years can be calculated using the formula for exponential decay, $A = P(1/2)^{t/T}$, where $A$ is the amount remaining, $P$ is the initial amount, $t$ is the time elapsed, and $T$ is the half-life. Substituting $P = 50$ grams, $t = 500$ years, and $T = 710$ years, we get $A = 50(1/2)^{500/710}$, which rounds to approximately $30.689$ grams.

Solve -The Half- Life of Silicon- 32 Is 710 Years 0.379 g0.379 \mathrm{~g}0.379 g

Solve
-The Half- Life of Silicon- 32 Is 710 Years $0.379 \mathrm{~g}$