SOLUTION: suppose a radioactive isotope such that one-seventh of the atoms in a sample decay after four years. Find the half-life of this isotope

Algebra.Com
Question 952918: suppose a radioactive isotope such that one-seventh of the atoms in a sample decay after four years. Find the half-life of this isotope
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Basic Model:

The one-seventh life is 4 years.

Find logarithms of both sides.


-
-
You can find two formulas from that step:
and

FIND THE DECAY CONSTANT k.






FIND THE HALF-LIFE .






, years

RELATED QUESTIONS

suppose a radioactive isotope is such that one-ninth of atoms in a sample decay after... (answered by josgarithmetic)
Suppose a radioactive isotope is such that five-sixths of the atoms in a sample decay... (answered by ankor@dixie-net.com)
Use the exponential decay equation, where A is the amount of a radioactive material... (answered by ankor@dixie-net.com)
A certain radioactive isotope has a half life of aprox 1600 years. How many years to the... (answered by stanbon)
A certain radioactive isotope has a half-life of approximately 1700 years. How many years (answered by scott8148)
A certain radioactive isotope has a half-life of approximately 850 years. How many years... (answered by stanbon)
A certain radioactive isotope has a half life of approximately 850 years . How many years (answered by ewatrrr)
A radioactive isotope has a decay rate of 2% per year. Calculate the half-life for this... (answered by Boreal)
A radioactive isotope has a decay rate of 2% per year. Calculate the half life for this... (answered by robertb)