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1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the isotope will you have left after 10 years? b. How much of the isotope will you have left after 20 years? c. How many half-lives will occur in 40 years?

1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the isotope will you have left after 10 years? b. How much of the isotope will you have left after 20 years? c. How many half-lives will occur in 40 years?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 38E
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Half-Life Practice Problems Worksheet 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the isotope will you have left after 10 years? b. How much of the isotope will you have left after 20 years? c. How many half-lives will occur in 40 years? "How Long Based on Percentage/Amount of Parent" Scenario (Remember: The system is parent decaying to daughter.) 2. The half-life of rubidium-87 is 48,800,000,000 years. If a nuclear bomb released 8 kg (100%) of this isotope, how many years would pass before the amount is reduced to 1 kg (12.5%)? 3. The half-life of potassium-40 is 1.3 billion years. The lab sends back an igneous rock sample that contains 93.75% Potassium and 6.25% Argon. How old is this igneous rock? (1/16 of a half-life has passed – multiply by 1.3 billion years) "How Much Is Left" Scenario (Remember: half-life is always taking HALF of what's left. 100 to 50 to 25 to 12.5, etc.) 4. The half-life of samarium-147 is 106 billion years. How much of a 100 gram sample is left after 318 billion years? 5. Carbon-14 has a half-life of 5,730 years. If a sample contained 70 g originally, how much is left after 17,190 years? "How Much In Original Sample" Scenario (Reverse of the above problems.) 6. The half-life of cobalt-60 is 5.26 years. If 50 grams are left after 15.78 years, how many grams were in the original sample? 7. The half-life of l-137 is 8.07 days. If 25 grams are left after 40.35 days, how many grams were in the original sample?
Transcribed Image Text:Half-Life Practice Problems Worksheet 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the isotope will you have left after 10 years? b. How much of the isotope will you have left after 20 years? c. How many half-lives will occur in 40 years? "How Long Based on Percentage/Amount of Parent" Scenario (Remember: The system is parent decaying to daughter.) 2. The half-life of rubidium-87 is 48,800,000,000 years. If a nuclear bomb released 8 kg (100%) of this isotope, how many years would pass before the amount is reduced to 1 kg (12.5%)? 3. The half-life of potassium-40 is 1.3 billion years. The lab sends back an igneous rock sample that contains 93.75% Potassium and 6.25% Argon. How old is this igneous rock? (1/16 of a half-life has passed – multiply by 1.3 billion years) "How Much Is Left" Scenario (Remember: half-life is always taking HALF of what's left. 100 to 50 to 25 to 12.5, etc.) 4. The half-life of samarium-147 is 106 billion years. How much of a 100 gram sample is left after 318 billion years? 5. Carbon-14 has a half-life of 5,730 years. If a sample contained 70 g originally, how much is left after 17,190 years? "How Much In Original Sample" Scenario (Reverse of the above problems.) 6. The half-life of cobalt-60 is 5.26 years. If 50 grams are left after 15.78 years, how many grams were in the original sample? 7. The half-life of l-137 is 8.07 days. If 25 grams are left after 40.35 days, how many grams were in the original sample?
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