Question #174538

A student is asked to use a computer simulation of radioactive decay. The sample chosen has a half-life of 2.5 hours and contains 38400 isotopes of radioactive material. Calculate the number of unstable nuclei remaining after 12.5 hours.


1
Expert's answer
2021-03-23T11:15:12-0400

Let’s use the formula for radioactive decay:


N=N0e0.693T1/2t,N=N_0e^{-\dfrac{0.693}{T_{1/2}}t},N=38400e0.6932.5 h12.5 h=1201 isotopes.N=38400\cdot e^{-\dfrac{0.693}{2.5\ h}\cdot12.5\ h}=1201\ isotopes.

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