2. (8 pts) Radioactive substances decay at a rate k proportional to their size, which can be expressed by dm = km. The s

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2. (8 pts) Radioactive substances decay at a rate k proportional to their size, which can be expressed by dm = km. The s

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2 8 Pts Radioactive Substances Decay At A Rate K Proportional To Their Size Which Can Be Expressed By Dm Km The S 1
2 8 Pts Radioactive Substances Decay At A Rate K Proportional To Their Size Which Can Be Expressed By Dm Km The S 1 (37.24 KiB) Viewed 20 times
2. (8 pts) Radioactive substances decay at a rate k proportional to their size, which can be expressed by dm = km. The solution to this differential equation is m(t) = Cekt, where is a constant. Consider cesium-137. The half-life of cesium-137 is 40 years. Suppose that we have a 100 mg sample. a. Find the formula for the mass m(t) of this sample that remains at time t. dt b. How much of the sample remains after 200 years? (don't forget units)
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