Question #181638

How many years has passed if only 3.125% of the original amount of U-238 remains?


1
Expert's answer
2021-04-18T19:32:57-0400

Given

R=0.03125R0R=0.03125R_0

T1/2=4.5×109yearsT_{1/2}=4.5×10^9 years

The amount of radioactivity present after time t is

R=R0etln2t1/2R=R_0 e^{-\frac{tln2}{t_{1/2}}}

0.03125R0=R0etln24.5×109years0.03125R_0=R_0 e^{-\frac{tln2}{4.5×10^9 years}}

t=2.25×1010yearst=2.25 \times 10^{10} years



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