Element 104 was produced at Oak Ridge National Laboratory. Only 3000 atoms were created with a...

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Element 104 was produced at Oak Ridge National Laboratory. Only 3000 atoms were created with a half-life of 4.5 seconds. How

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Answer 1

Answer #1

N = N₀e^-kt where k = ln(2) / t_1/2

Given: N₀ = 3000 atoms; t_1/2 = 4.5 sec; t = 9 sec

=> N = (3000)e^{-(ln(2) /4.5)*9}

=> N = (3000)e^-2ln(2) = (3000)e^-ln(4) = 3000/4 =750 atoms.

Therefore, atoms left after 9 seconds = 750 atoms.

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Answer 2

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