One hundred grams of carbon-14 decays until only 25 grams of carbon is left after 11,600 years. What is the half-life of carbon-14?
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One hundred grams of carbon-14 decays until only 25 grams of carbon is left after 11,600 years. What is the half-life of carbon-14?
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Explanation:
The exponential formula for the required value of the half-life
t
1
/
2
of the given substance is:
A
=
A
0
(
1
2
)
t
t
1
/
2
, where,
A is the final amount of the given radioactive element.
A
0
is the initial amount of the given radioactive element.
t is the total time of decay.
The algebraic rule for the exponential equation for this problem is shown below:
a
m
=
a
n
→
m
=
n