complete the table shown to the right for the half - life of a certain radioactive substance.\n\nk = (round…
complete the table shown to the right for the half - life of a certain radioactive substance.\n\nk = (round to six decimal places as needed.)
Answer
Explanation:
Step1: Use the half - life formula
The formula for half - life (T) and decay rate (k) is (T=\frac{\ln 2}{k}). We can solve for (k) by re - arranging the formula: (k = \frac{\ln 2}{T}).
Step2: Substitute the value of (T)
Given (T = 3739) years. Substitute (T) into the formula: (k=\frac{\ln 2}{3739}).
Step3: Calculate the value
We know that (\ln 2\approx0.693147). Then (k=\frac{0.693147}{3739}\approx0.000185) (rounded to six decimal places).
Answer:
(0.000185)