Complete the table for the radioactive isotope.Round your answer to two decimal places.$\begin{array}{|l|l|l|l|}
\hline \text { Isotope } & \begin{array}{l}
\text { Half-life } \
\text { (years) }
\end{array} & \text { Initial Quantity } & \text { Amount after } 1000 \
\hline{ }^{14} \mathrm{C} & 5715& 5 g & --\
\hline
\end{array}$
A)Amount after 1000 years: $5.43 \mathrm {~g}$
B)Amount after 1000 years: $6.43 \mathrm {~g}$
C)Amount after 1000 years: $4.43 \mathrm {~g}$
D)Amount after 1000 years: $7.43 \mathrm {~g}$
E)Amount after 1000 years: $8.43 \mathrm {~g}$

Question

Quizplus · Accepted Answer

The amount of a radioactive isotope remaining after a certain time can be calculated using the formula: $ A = A_0 \times (0.5)^{t/T} $, where $ A_0 $ is the initial amount, $ t $ is the time elapsed, and $ T $ is the half-life. For $^{14}C$, $ A = 5 \times (0.5)^{1000/5715} \approx 4.43 $ g.

Complete the Table for the Radioactive Isotope A)Amount After 1000 Years