jasondesatnick
08.12.2019 •
Mathematics
You have just isolated a new radioactive element. if you can determine its half-life, you will win the nobel prize in physics. you purify a sample of 2 grams. one of your colleagues steals half of it, and four days later you find that 0.3 gram of the radioactive material is still left. what is the half-life? (round your answer to three significant digits.)
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Ответ:
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this
A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)
let's use days as the units of time
we are given
initial amount=1gram
final amount=0.3gram
time=4 days
so
solve for h
take the ln of both sides
times both sides by h
divide both sides by ln(0.3)
use calculator
h=2.30287
3 sig figs
h=2.303 days
Ответ:
1.125 pints