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A certain element has a half-life of 120 years. After a certain sample of that element was stored for 600 years, only 7 grams was left. How many grams were in the original sample?

 Apr 3, 2020
edited by SpongeBobRules24  Apr 3, 2020
edited by SpongeBobRules24  Apr 3, 2020
edited by SpongeBobRules24  Apr 3, 2020
edited by SpongeBobRules24  Apr 3, 2020
 #1
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600 is 5 half lifes      7    14   28   56   112   224 gm

 Apr 3, 2020
 #2
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Amount of original sample =A

 

7 = A x  1/2^(600/120)

 

7 = A x  1/2^(5)

 

7 = A x  0.03125

 

A = 7 / 0.03125

 

A = 224 grams the original amount of the sample.

 Apr 3, 2020

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