Initially 100 milligrams of a radioactive substance were present. After 5 hours the mass had decreased by 10%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 50 hours. You must begin your solution process by writing the differential equation. You may use the natural log table to the right and provide an approximate answer. Your work must support your answer.
Initially 100 milligrams of a radioactive substance were present. After 5 hours the mass had decreased by 10%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 50 hours. You must begin your solution process by writing the differential equation. You may use the natural log table to the right and provide an approximate answer. Your work must support your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Initially 100 milligrams of a radioactive substance were present. After 5 hours the
mass had decreased by 10%. If the rate of decay is proportional to the amount of the substance
present at time t, find the amount remaining after 50 hours. You must begin your solution process by
writing the differential equation. You may use the natural log table to the right and provide an
approximate answer. Your work must support your answer.
Z
1
2
3
4
5
6
7
00
8
9
10
In z
0
0.7
1.1
1.4
1.6
1.8
1.9
2.1
2.2
2.3
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