The half-life of cesium-137 is 30 years. Suppose we have 200 mg sample. How much of the sample remains after 60 years? [Hint: Let m(t) be the mass remaining from an initial mass mo of the radioactive substance after time t. Then m(t) moek for some decay constant k. The half-life is the time period for the radioactive substance decays to the exact half of oritinal substance amount. ]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question
The half-life of cesium-137 is 30 years. Suppose we have 200 mg sample.
How much of the sample remains after 60 years?
[Hint: Let m(t) be the mass remaining from an initial mass mo of the
radioactive substance after time t. Then
m(t)
moek for some decay constant k. The half-life is the time period
for the radioactive substance decays to the exact half of oritinal substance
amount. ]
Transcribed Image Text:The half-life of cesium-137 is 30 years. Suppose we have 200 mg sample. How much of the sample remains after 60 years? [Hint: Let m(t) be the mass remaining from an initial mass mo of the radioactive substance after time t. Then m(t) moek for some decay constant k. The half-life is the time period for the radioactive substance decays to the exact half of oritinal substance amount. ]
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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax