The half-life of the carbon isotope C-14 is approximately 5,715 years.If the initial quantity of the isotope is 38 g,what is the amount left after 1,000 years? Round your answer to two decimal places.
A)33.66 g
B)35.76 g
C)34.16 g
D)3.32 g
E)16.83 g

Question

The half-life of the carbon isotope C-14 is approximately 5,715 years.If the initial quantity of the isotope is 38 g,what is the amount left after 1,000 years? Round your answer to two decimal places. ​
A)33.66 g
B)35.76 g
C)34.16 g
D)3.32 g
E)16.83 g

Quizplus · Accepted Answer

The amount of C-14 left after 1,000 years can be calculated using the formula:Amount left = Initial amount * (1/2)^(time/half-life)Plugging in the values, we get:Amount left = 38 g * (1/2)^(1000/5715)= 38 g * 0.888= 33.66 g (rounded to two decimal places)

The Half-Life of the Carbon Isotope C-14 Is Approximately 5,715