Question
the half-life of carbon-14 is 5,700 years. a certain sample of wood has 20 grams of carbon-14 when it is alive. how many grams of carbon will it have after 5,700 years?
Answers
GPT-4o mini
The half-life of carbon-14 is 5,700 years, which means that after this period, half of the carbon-14 in the sample will have decayed.
Starting with 20 grams of carbon-14:
1. After 5,700 years (one half-life), half of the carbon-14 will remain:
\[
\text{Remaining carbon-14} = \frac{20 \text{ grams}}{2} = 10 \text{ grams}
\]
After 5,700 years, the sample will have 10 grams of carbon-14 remaining.
Starting with 20 grams of carbon-14:
1. After 5,700 years (one half-life), half of the carbon-14 will remain:
\[
\text{Remaining carbon-14} = \frac{20 \text{ grams}}{2} = 10 \text{ grams}
\]
After 5,700 years, the sample will have 10 grams of carbon-14 remaining.