The half-life of the carbon isotope C-14 is approximately 5,715 years. If the initial quantity of the isotope is 34 g, what is the amount left after 10,000 years? Round your answer to two decimal places.
A) 10.11 g
B) 18.54 g
C) 10.61 g
D) 29.75 g
E) 5.06 g

Question

The half-life of the carbon isotope C-14 is approximately 5,715 years. If the initial quantity of the isotope is 34 g, what is the amount left after 10,000 years? Round your answer to two decimal places. ​
A) 10.11 g
B) 18.54 g
C) 10.61 g
D) 29.75 g
E) 5.06 g

Quizplus · Accepted Answer

The amount of C-14 left after 10,000 years can be calculated using the formula:Amount left = Initial amount * (1/2)^(time/half-life)Plugging in the given values, we get:Amount left = 34 g * (1/2)^(10000/5715)≈ 10.11 gTherefore, the amount left after 10,000 years is approximately 10.11 g.

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