show complete solution The radioactive isotope of Lead (Pb-209) decays at a rate proportional to the amount present at time, t, and has a half-life of 3.3 hours. If 2 grams of this isotope is present initially, how long will it take for 80% of the Lead to decay? use: dQ ∞ Q dt ка SdQ = ksat clt dQ dt. In Q = kt + C₁ kt + Ci Q = e Q = ekt Ce kt CI

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The radioactive isotope of Lead (Pb-209)
decays at a rate proportional to the amount
present at time, t, and has a half-life of 3.3
hours. If 2 grams of this isotope is present
initially, how long will it take for 80% of the
Lead to decay?
use:
dQ ∞ Q
dt
dQ
dt
= KQ
SdQ = kgat
cit
In Q = kt + C₁
Q = ekt +c₁
Q = ekt
Q = ce
kt
CI
Transcribed Image Text:show complete solution The radioactive isotope of Lead (Pb-209) decays at a rate proportional to the amount present at time, t, and has a half-life of 3.3 hours. If 2 grams of this isotope is present initially, how long will it take for 80% of the Lead to decay? use: dQ ∞ Q dt dQ dt = KQ SdQ = kgat cit In Q = kt + C₁ Q = ekt +c₁ Q = ekt Q = ce kt CI
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