1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance left at time t > 0 if Q(0) = 20 g. 2. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of the material to decay to 1/10 of its original mass. 3. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life? 4. A tree contains a known percentage po of a radioactive substance with half-life T. When the tree dies the substance decays and isn't replaced. If the percentage of the substance in the fossilized remains of such a tree is found to be p₁, how long has the tree been dead? 5. If tp and t₁ are the times required for a radioactive material to decay to 1/p and 1/q times its original mass (respectively), how are t, and tÅ related?

1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance left at time t > 0 if Q(0) = 20 g. 2. The half-life of a radioactive substance is 2 days. Find the time required for a given amount of the material to decay to 1/10 of its original mass. 3. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life? 4. A tree contains a known percentage po of a radioactive substance with half-life T. When the tree dies the substance decays and isn't replaced. If the percentage of the substance in the fossilized remains of such a tree is found to be p₁, how long has the tree been dead? 5. If tp and t₁ are the times required for a radioactive material to decay to 1/p and 1/q times its original mass (respectively), how are t, and tÅ related?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.CR: Chapter Review

Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...

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