Dinosaur fossils are too old to be reliably dated using carbon-14, which has a half-life of about 5730 years. Suppose we had a 66 million year old dinosaur fossil. How much of the living dinosaur's 14C would be remaining today? (Round your answer to five decimal places.) % Suppose the minimum detectable amount is 0.5%. What is the maximum age of a fossil that we could date using 14C? (Round your answer to the nearest integer.) yr

Question
Asked Dec 10, 2019
31 views
Dinosaur fossils are too old to be reliably dated using carbon-14, which has a half-life of about 5730 years. Suppose we had a 66 million year old dinosaur fossil. How much of the living dinosaur's 14C would be remaining today? (Round your answer to five decimal places.)
%

Suppose the minimum detectable amount is 0.5%. What is the maximum age of a fossil that we could date using 14C? (Round your answer to the nearest integer.)
yr
 
 
check_circle

Expert Answer

Step 1

a)

Given,

The half life 14C is 5730 years.

help_outline

Image Transcriptionclose

ie., A(5730) = 0.5.4,

fullscreen
Step 2

The formula for exponential model is

help_outline

Image Transcriptionclose

..(1) A(t) = A,e* Substitute A (5730) =0.5Ao in (1), 0.5.4, = 4,e$730k 0.5 = e 5730k

fullscreen
Step 3

Taking ln on both sides,

...
help_outline

Image Transcriptionclose

In (0.5) = In(e50 ) 5730k In (0.5) = 5730k In (e) In (0.5)= 5730k :: In(e)=1 In (0.5) k : 5730 Equation (1) becomes In (0.5) 5730 A(t) = A,e

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add