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)
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Af = Ao (1/2) ^ t/h
Af = 200 (1/2) ^ 10/3
i cant solve from here
punch it in the calculator.
i got 0.07; to the nearest hundredth
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the answer is 19.84 mg
i got the answer too but i forgot how i did it
srry i know only grade 8 maths
h is the Planck's constant ryt ?
h is the half life period
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).
Try 25mg to the power of 2/3. Is that 19.84mg? I don't have scientific calculator.
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
i got it. .
punch in the calculator the first equation u've given
@Jerwyn: how did you do it `:O
find the cube root of .5 to tenth power, then multiply to 200
My value is correct.
200 times (1/2) to the power of 10/3. It gives you 19.84.
First find 0.5 to the power of 3.333333.
Then multiply by 200.