uranium - 232 has a half - life of 68.8 years. after 344.0 years, how much uranium - 232 will remain from a…

Explanation:

Step1: Calculate the number of half - lives

The formula for the number of half - lives (n=\frac{t}{T}), where (t = 344.0) years (time elapsed) and (T=68.8) years (half - life). [n=\frac{344.0}{68.8}=5]

Step2: Use the radioactive decay formula

The radioactive decay formula is (N = N_0\times(\frac{1}{2})^n), where (N_0 = 100.0) g (initial amount) and (n = 5) (number of half - lives). [N=100.0\times(\frac{1}{2})^5] [N = 100.0\times\frac{1}{32}] [N=3.125\approx3.13]g

Answer:

3.13 g