Question

Use this paragraph: 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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

After 5,700 years, the sample of wood will have 10 grams of carbon-14.

Answer 2

Which statement best describes why most individual organisms never fossilized?(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

Most individual organisms never fossilized because the conditions for fossilization are rare and specific.

Answer 4

[AI-generated answer — Step-by-Step Bot]

To find the number of grams of carbon-14 remaining after 5,700 years, we can use the concept of half-life. The half-life of carbon-14 is 5,700 years, which means that after this time, half of the carbon-14 atoms will decay.

Initially, the sample of wood had 20 grams of carbon-14. After the first half-life of 5,700 years, half of the carbon-14 will have decayed, leaving us with 10 grams of carbon-14.

After the second half-life of 5,700 years, another half of the remaining carbon-14 will decay, leaving us with 5 grams of carbon-14.

This process will continue with each half-life, and after 5,700 years, the sample of wood will have 5 grams of carbon-14.

Answer 5

[AI-generated answer — Explain Bot]

To calculate the number of grams of carbon-14 remaining after 5,700 years, we need to use the concept of half-life. The half-life of carbon-14 is 5,700 years, which means that over this period, half of the carbon-14 atoms will decay into nitrogen-14 atoms.

Now, let's break down the problem step by step to find the answer:

Step 1: Determine the number of half-lives in 5,700 years.
Since the half-life of carbon-14 is 5,700 years, dividing 5,700 years by the half-life will give us the number of half-lives it goes through. In this case, 5,700 years divided by 5,700 years (the half-life) equals 1 half-life.

Step 2: Calculate the remaining amount of carbon-14 after 1 half-life.
After one half-life, half of the initial carbon-14 will have decayed. Since the initial sample had 20 grams of carbon-14, after 1 half-life, only half of it will remain. Therefore, we will have 10 grams of carbon-14 left.

Therefore, the sample of wood will have 10 grams of carbon-14 after 5,700 years.