IS 2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of the substance has decreased to 700 grams. Find the half-life of this radioactive substance. 3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance is 250 years, find the mass of the radioactive substance after 1,000 years. 4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactive isotope is 25 years, find the mass of the isotope after 100 years.
IS 2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of the substance has decreased to 700 grams. Find the half-life of this radioactive substance. 3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance is 250 years, find the mass of the radioactive substance after 1,000 years. 4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactive isotope is 25 years, find the mass of the isotope after 100 years.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
can you please help me with question 2 and 4
Transcribed Image Text:EXERCISE 5
Solve the following problems.
1. An artifact was found to have 20 grams of carbon-14. How many grams of carbon-14 will
present in this artifact after 10,000 years if the half-life of the carbon-14 is 4500 years?
2. The initial mass of radioactive substance is 1000 grams. After 50 years the mass of the
substance has decreased to 700 grams. Find the half-life of this radioactive substance.
3. The initial mass of a radioactive substance is 50 grams. If the half-life of the substance is
find the mass of the radioactive substance after 1,000 years.
250
years,
4. The initial mass of a radioactive isotope is 800 grams. If the half-life of the radioactive
isotope is 25 years, find the mass of the isotope after 100 years.
5. Initially, 100 milligrams of a radioactive substance was present. After 6 hours the mass had
decreased by 3%. If the rate of decay is proportional to the amount of substance present at
time t, find the amount remaining after 24 hours. Determine the half-life of the radioactive
substance.
6. The half-life of curium, curium-245 is about 8500 years. If 20 mg of this radioactive material
is present initially, how long will it take for 75% of the curium to decay?
7. The radioactive isotope of cobalt-60 decays at a rate proportional to the amount present at
time t. it has a half-life of 87 years. If 234 grams of this isotope is present initially, how long
will it take for 35% of the cobalt to decay?
8. The half-life of curium, curium-245 is about 8500 years. If 20 mg of this radioactive material
is present initially, how long will it take for 60% of the curium to decay?
Determine the half-life of a radioactive substance whose initial amount is 200 milligrams and
decreases by 5% after 2 hours. It is assumed that the rate of decay is proportional to the
9.
amount suibstance present at time t?
30
IN
41
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning