The radioisotope potassium-40 decays to argon-40 by positron emission with a half-life of . A sample of moon rock was found to contain 78 argon-40 atoms for every 22 potassium-40 atoms. The age of the rock is
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The radioactive potassium- 40 isotope decays to argon- 40 with a half-life of $1.2 \times 10^{9}$ years. (a) Write a balanced equation for the reaction. (b) A sample of moon rock is found to contain 18 percent potassium- 40 and 82 percent argon by mass. Calculate the age of the rock in years. (Assume that all the argon in the sample is the result of potassium decay.)
The isotope $_{19}^{40} \mathrm{K}$ of potassium is unstable, with a half-life of $1.37 \times 10^{9}$ yr. It decays into the stable isotope $_{18}^{40} \mathrm{Ar}$. Moon rocks were found to contain a ratio of potassium to argon atoms of $1: 7 .$ Find the age of the moon rocks.
Atomic and nuclear physics
Nuclear physics - AHL / SL Option B
The radioactive potassium-40 isotope decays to argon-40 with a half-life of $1.2 \times 10^{9}$ yr. (a) Write a balanced equation for the reaction. (b) A sample of moon rock is found to contain 18 percent potassium40 and 82 percent argon by mass. Calculate the age of the rock in years.
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