Question #25953

Polonium-214 has a short half-life of 164 seconds. How many seconds would it take for 8.0g of this isotope to decay to 0.25 g?

Expert's answer

You can answer this using half-life time:

t_{1/2} = 164 seconds

t_{1/2} = ln2/k

k is rate of the reaction

164 = 0.693 / k

k = 0.00423 s^{-1}

ln 0.25 / 8.0 = -0.00423 t

-3.47 = -0.00423 t

t = 820 s

t

t

k is rate of the reaction

164 = 0.693 / k

k = 0.00423 s

ln 0.25 / 8.0 = -0.00423 t

-3.47 = -0.00423 t

t = 820 s

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