The half-life of a substance is the time it takes for half of the substance to decay. In this case, the half-life of carbon-14 is 5730 years.

Step 1: Determine the number of half-lives that have passed.
28,650 years / 5730 years/half-life = 5 half-lives

Step 2: Determine the amount of carbon-14 remaining after each half-life.
- After 1 half-life (5730 years), half of the original amount remains: 28.0 g / 2 = 14.0 g
- After 2 half-lives (11460 years), half of the remaining amount remains: 14.0 g / 2 = 7.0 g
- After 3 half-lives (17190 years), half of the remaining amount remains: 7.0 g / 2 = 3.5 g
- After 4 half-lives (22920 years), half of the remaining amount remains: 3.5 g / 2 = 1.75 g
- After 5 half-lives (28650 years), half of the remaining amount remains: 1.75 g / 2 = 0.875 g

So, after 28,650 years, 0.875 grams of carbon-14 remain. The answer is B. 0.875 g.

Question

The half-life of a substance is the time it takes for half of the substance to decay. In this case, the half-life of carbon-14 is 5730 years.

Step 1: Determine the number of half-lives that have passed. 
28,650 years / 5730 years/half-life = 5 half-lives

Step 2: Determine the amount of carbon-14 remaining after each half-life. 
- After 1 half-life (5730 years), half of the original amount remains: 28.0 g / 2 = 14.0 g
- After 2 half-lives (11460 years), half of the remaining amount remains: 14.0 g / 2 = 7.0 g
- After 3 half-lives (17190 years), half of the remaining amount remains: 7.0 g / 2 = 3.5 g
- After 4 half-lives (22920 years), half of the remaining amount remains: 3.5 g / 2 = 1.75 g
- After 5 half-lives (28650 years), half of the remaining amount remains: 1.75 g / 2 = 0.875 g

So, after 28,650 years, 0.875 grams of carbon-14 remain. The answer is B. 0.875 g.

Knowee AI · Accepted Answer

The half-life of a substance is the time it takes for half of the substance to decay. In this case, the half-life of carbon-14 is 5730 years.

Step 1: Determine the number of half-lives that have passed. 
28,650 years / 5730 years/half-life = 5 half-lives

Step 2: Determine the amount of carbon-14 remaining after each half-life. 
- After 1 half-life (5730 years), half of the original amount remains: 28.0 g / 2 = 14.0 g
- After 2 half-lives (11460 years), half of the remaining amount remains: 14.0 g / 2 = 7.0 g
- After 3 half-lives (17190 years), half of the remaining amount remains: 7.0 g / 2 = 3.5 g
- After 4 half-lives (22920 years), half of the remaining amount remains: 3.5 g / 2 = 1.75 g
- After 5 half-lives (28650 years), half of the remaining amount remains: 1.75 g / 2 = 0.875 g

So, after 28,650 years, 0.875 grams of carbon-14 remain. The answer is B. 0.875 g.

The half-life of carbon-14 is 5730 years. How many grams of carbon-14 remain after 28,650 years if the original amount was 28.0 g?A.2.80 gB.0.875 gC.14.0 gD.5.60 g

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