Amount Amount Half-life Initial After After Isotope (in years) Quantity 1000 Years 10,000 Years 32. 14С 5715 3 8

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Complete the table for the radioactive isotope.

Amount
Amount
Half-life Initial
After
After
Isotope (in years) Quantity 1000 Years 10,000 Years
32. 14С
5715
3 g
Transcribed Image Text:Amount Amount Half-life Initial After After Isotope (in years) Quantity 1000 Years 10,000 Years 32. 14С 5715 3 g
Expert Solution
Step 1

Recall the following.

The exponential decay equation is At=A0e-rt.

The half-life of the given isotope is 5715 years.

Obtain the value of r as follows.

A02=A0e-r5715e-r5715=12-5715r=ln12r=-ln125715

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