Radioactive decay The half-life of a certain radioactive substance is 12 hours. There are 8 grams present initially.a. Express the amount of substance remaining as a function of time t.b. When will there be 1 gram remaining?

Radioactive decay The half-life of a certain radioactive substance is 12 hours. There are 8 grams present initially.a. Express the amount of substance remaining as a function of time t.b. When will there be 1 gram remaining?

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 101E: Radioactive Decay The half-life of radium-226 is 1590 years. a If a sample has a mass of 150 mg,...

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Radioactive decay The half-life of a certain radioactive substance is 12 hours. There are 8 grams present initially.
a. Express the amount of substance remaining as a function of time t.
b. When will there be 1 gram remaining?

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(a) Given information:

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Modify Equation (2) using properties of logarithm:

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(b) Calculation:

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Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg, find a function that models the mass that remains after tyears. (b)Find the mass that will remain after 1000 years. (c)After how many years will only 50 mg remain?
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