Sketch the graph of the mass function. The half-life of cesium-137 is 30 years.

Question

Sketch the graph of the mass function. The half-life of cesium-137 is 30 years. Suppose we have a 100-mg sample. Find the mass that remains after t years. How much of the sample remains after 100 years? After how long will only 1 mg remain? A sample of tritium-3 decayed to 94.5% of its original amount after a year. What is the half-life of tritium-3? How long would it take the sample to decay to 20% of its original amount? Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years.

Explanation / Answer

10) a) general formula amount of tritium N(t) = Ce^kt.

for N(0) = 1,
so 1 = N(0) = Ce^k

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