SOLUTION: At the beginning of an experiment, a scientist has 256 grams of radioactive goo. After 105 minutes, her sample has decayed to 16 grams.
What is the half-life of the goo in minu
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Question 1004575: At the beginning of an experiment, a scientist has 256 grams of radioactive goo. After 105 minutes, her sample has decayed to 16 grams.
What is the half-life of the goo in minutes?
Find a formula for G(t), the amount of goo remaining at time t. G(t) =
How many grams of goo will remain after 17 minutes?
Found 2 solutions by josgarithmetic, rothauserc:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
decay model
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based on minutes and grams
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HALF-LIFE
Use the model as for t=17 to find how much remains after that amount of time.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Our half-life formula is
G(t) = Ao * (1/2)^(t/h), where h is the half-life and A0 is the beginning amount
16 = 256 * (1/2)^(105/h)
1/16 = (1/2)^(105/h)
use definition of logarithm
105/h = log (base 1/2) of 1/16
105/h = 4
h = 105/4 = 26.25 minutes
half-life is 26.25 minutes
********************************************************************************
we use our formula for t = 17
G(17) = 256 * (1/2)^(17/26.25)
G(17) = 163.413226968 approx 163.4
There is 163.4 grams of goo after 17 minutes
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