Question

Carbon-14 has a half-life of 5730 years. How much of a 144 g sample of carbon-14 will remain after

1.71910 years

Answer 1

Approximately 138.61 g of the carbon-14 sample will remain after 1.71910 years.

Step-by-step explanation:

The decay of carbon-14 can be modeled using the half-life of 5730 years. To determine how much carbon-14 remains after a certain time, we can use the equation:

Amount remaining = Initial amount × (1/2)^(time / half-life)

In this case, the initial amount is 144 g and the time is 1.71910 years. Plugging these values into the equation, we get:

Amount remaining = 144 g × (1/2)^(1.71910 years / 5730 years)

Calculating this, we find that approximately 138.61 g of the carbon-14 sample will remain after 1.71910 years.