Сomplete the table for the radioactive isotope. $$\begin{array} { | c | c | c | c | }
\hline \text { Isotope } & \begin{array} { c }
\text { Half-life } \
\text { (years) }
\end{array} & \text { Initial Quantity } & \begin{array} { c }
\text { Amount after } 1000 \
\text { years }
\end{array} \
\hline { } ^ { 14 } \mathrm { C } & 5715 & --& 2 \mathrm {~g} \
\hline
\end{array}$$
A)Initial Quantity: $2.26 \mathrm {~g}$
B)Initial Quantity: $3.26 \mathrm {~g}$
C)Initial Quantity: $5.26 \mathrm {~g}$
D)Initial Quantity: $4.26 \mathrm {~g}$
E)Initial Quantity: $6.26 \mathrm {~g}$

Question

Сomplete the table for the radioactive isotope. $$\begin{array} { | c | c | c | c | } 
\hline \text { Isotope } & \begin{array} { c } 
\text { Half-life } \
\text { (years) }
\end{array} & \text { Initial Quantity } & \begin{array} { c } 
\text { Amount after } 1000 \
\text { years }
\end{array} \
\hline { } ^ { 14 } \mathrm { C } & 5715 & --& 2 \mathrm {~g} \
\hline
\end{array}$$
A)Initial Quantity: $2.26 \mathrm {~g}$
B)Initial Quantity: $3.26 \mathrm {~g}$
C)Initial Quantity: $5.26 \mathrm {~g}$
D)Initial Quantity: $4.26 \mathrm {~g}$
E)Initial Quantity: $6.26 \mathrm {~g}$

Quizplus · Accepted Answer

The amount of radioactive isotope remaining after 1000 years is 2 g. The half-life of the isotope is 5715 years. So, the initial quantity of the isotope can be calculated as:Initial quantity = Amount remaining after 1000 years / (1/2)^(1000/5715)= 2 g / (1/2)^(1000/5715)= 2.26 g (approx.)

СOmplete the Table for the Radioactive Isotope A)Initial Quantity 2.26 g2.26 \mathrm {~g}2.26 g

СOmplete the Table for the Radioactive Isotope A)Initial Quantity $2.26 \mathrm {~g}$