anonymous
  • anonymous
9. A particular radioactive substance has a half-life of 3 years. Suppose an initial sample has a mass of 200 mg. a) Write an equation that relates the mass of the radioactive material remaining to time. b) How much will remain after one decade, to the nearest hundredth? please do part b)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Af = Ao (1/2) ^ t/h
anonymous
  • anonymous
Af = 200 (1/2) ^ 10/3 i cant solve from here
anonymous
  • anonymous
punch it in the calculator. i got 0.07; to the nearest hundredth

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More answers

anonymous
  • anonymous
the answer is 19.84 mg
anonymous
  • anonymous
i got the answer too but i forgot how i did it
razor99
  • razor99
srry i know only grade 8 maths
EarthCitizen
  • EarthCitizen
h is the Planck's constant ryt ?
anonymous
  • anonymous
h is the half life period
anonymous
  • anonymous
half life means, it reduces to half in that period. So, from 200mg it goes to 100 mg in 3 years. In 6 years, it goes to 50 mg. In 9 years, it goes to 25 mg. In 10 years, it goes to.....that is the part of the equation I am not clear on (too long ago and too late/tired to recall).
anonymous
  • anonymous
Try 25mg to the power of 2/3. Is that 19.84mg? I don't have scientific calculator.
anonymous
  • anonymous
exactly but i gotta get the number 19.84. I got all the values just need to know how to put it in and no it doesnt work
anonymous
  • anonymous
i got it. .
anonymous
  • anonymous
Try...200*(1/2)^10/3
anonymous
  • anonymous
punch in the calculator the first equation u've given
anonymous
  • anonymous
@Jerwyn: how did you do it `:O
anonymous
  • anonymous
find the cube root of .5 to tenth power, then multiply to 200
anonymous
  • anonymous
My value is correct.
anonymous
  • anonymous
200 times (1/2) to the power of 10/3. It gives you 19.84.
anonymous
  • anonymous
First find 0.5 to the power of 3.333333. Then multiply by 200.

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