anonymous
  • anonymous
The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced to a mass of 3 mg. What was the initial mass (in mg) of the sample? What is the mass 8 weeks after the start?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
y = initial mass * ( 1/2) ^ ( t / halflife)
anonymous
  • anonymous
y = yo * ( 1/2) ^ ( t/4)
anonymous
  • anonymous
3= yo (1/2)^(16/4)

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anonymous
  • anonymous
3/ ( .5^4) = initial mass
anonymous
  • anonymous
y = 48 * ( 1/2) ^ ( t/4)
l
  • l
16/4 = 4 3 * 2^4 = 3 * 16 = 48mg -- initial mass 8 weeks after the start = 8*7 = 56 56/4 = 14 48*(0.5)^14 ~ 0,002929688 *
anonymous
  • anonymous
thank you

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