The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off your final answer to two decimal places.
The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off your final answer to two decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
a. 35.55 years
b. 359.25 years
c. 213.41 year
d. There is no correct answer from the given choices.
e. 5320.20 years
Transcribed Image Text:The
amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation
dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off
your final answer to two decimal places.
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 3 steps with 3 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Why there is some solution says it is 35.55? What would be its appropriate true answer?
Solution
by Bartleby ExpertRecommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
