Solve.
-A fossilized leaf contains $39 \%$ of its normal amount of carbon 14 . How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14 .
A) 7594
B) 29,545
C) 3986
D) 33,152

Question

Quizplus · Accepted Answer

The age of the fossil can be calculated using the formula for radioactive decay, $N = N_0 \left(\frac{1}{2}\right)^{\frac{t}{T}}$, where $N$ is the remaining amount of substance, $N_0$ is the initial amount of substance, $t$ is the time, and $T$ is the half-life of the substance. Given that $N/N_0 = 0.39$ and $T = 5600$ years, solving for $t$ gives an age of approximately 7594 years.

Solve -A Fossilized Leaf Contains 39%39 \%39% Of Its Normal Amount of Carbon 14

Solve
-A Fossilized Leaf Contains $39 \%$ Of Its Normal Amount of Carbon 14