Question
How many grams of carbon-14 would it have after 2 half lives?
Answers
GPT-4o mini
The amount of carbon-14 remaining after a certain number of half-lives can be calculated using the formula:
\[
\text{Remaining amount} = \text{Initial amount} \times \left( \frac{1}{2} \right)^{n}
\]
where \( n \) is the number of half-lives.
If you start with an initial amount of carbon-14 (let's say \( x \) grams), after 2 half-lives, you would have:
\[
\text{Remaining amount} = x \times \left( \frac{1}{2} \right)^{2} = x \times \frac{1}{4}
\]
This means that after 2 half-lives, you would have a quarter of the initial amount of carbon-14 remaining.
If you provide an initial amount for carbon-14, I can compute the specific amount remaining for you.
\[
\text{Remaining amount} = \text{Initial amount} \times \left( \frac{1}{2} \right)^{n}
\]
where \( n \) is the number of half-lives.
If you start with an initial amount of carbon-14 (let's say \( x \) grams), after 2 half-lives, you would have:
\[
\text{Remaining amount} = x \times \left( \frac{1}{2} \right)^{2} = x \times \frac{1}{4}
\]
This means that after 2 half-lives, you would have a quarter of the initial amount of carbon-14 remaining.
If you provide an initial amount for carbon-14, I can compute the specific amount remaining for you.