Use the fact that the quantity of a radioactive substance after t years is given by , where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 8,000 years if . Round your answer to four decimal places if required.

A)24.9307 g
B)65.7924 g
C)0.0019 g
D)15.0457 g
E)20.25 g

Question

Use the fact that the quantity of a radioactive substance after t years is given by  , where  is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 8,000 years if  . Round your answer to four decimal places if required.
​
A)24.9307 g 
B)65.7924 g 
C)0.0019 g 
D)15.0457 g 
E)20.25 g

Quizplus · Accepted Answer

The Answer of Use the fact that the quantity of a radioactive substance after t years is given by  , where  is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 8,000 years if  . Round your answer to four decimal places if required.
​
A)24.9307 g 
B)65.7924 g 
C)0.0019 g 
D)15.0457 g 
E)20.25 g

Use the Fact That the Quantity of a Radioactive Substance