Asked by Mimi
the activity of a sample of carbon has one-eighth of the initial activity. carbon-14 has a half-life of 5730 yr. how old is the sample in yr?
Answers
Answered by
bobpursley
one eighth is three half-lives.
Now the hard way:
amount left=original amount(1/2)^t/thalflife
1/8=(1/2)^t/th
t/th=3
or even harder:
amountleft=original*e^-.693t/th
1/8=e^-.693 t/th
ln of each side
ln (1/8)=-.693 t/th
-2.0793=-.693 t/th
t/th= 3
Now the hard way:
amount left=original amount(1/2)^t/thalflife
1/8=(1/2)^t/th
t/th=3
or even harder:
amountleft=original*e^-.693t/th
1/8=e^-.693 t/th
ln of each side
ln (1/8)=-.693 t/th
-2.0793=-.693 t/th
t/th= 3
Answered by
Mimi
the question ask how old is the sample in yr. so that mean t/th is 3 yrs.
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