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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

Can someone complete this worksheet for me, and show work please 

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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education