2. Using the decay chain for 238U, calculate the amount of time it takes 5.0 kg...

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2. Using the decay chain for 238U, calculate the amount of time it takes 5.0 kg of 238U to decay to 2.5 kg. What mass of 206P

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Answer 1

Answer #1

half - life, t12 , of U 238 is 4.468×10⁹ years

N/N_o = e^-0.693t/t1/2

2.5/5= e^{0.693t/4.468 x 10}^{^9}

ln(1/2) = 0.693t/4.468 x 10⁹

t = ln(1/2) x 4.468 x 10⁹ / 0.693 = 4.468 x 10⁹ years= half life of U 238

Mass of Pb = 2.5 * 206 / 238 = 2.16 kilogram

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