if carbon 14 has a half life of 24 days how much would be left of 220 gram sample after 168 days
To calculate how much would be left of a 220 gram sample of carbon-14 after 168 days, we need to know the number of half-life periods that have passed during that time.
The half-life of carbon-14 is 24 days, which means that after 24 days, half of the sample would remain. After another 24 days, half of that remaining amount would remain, and so on.
To find the number of half-life periods that have passed in 168 days, we divide the total time by the half-life:
Number of half-life periods = Total time / Half-life
Number of half-life periods = 168 days / 24 days = 7
So, in 168 days, 7 half-life periods have passed.
To calculate the amount of carbon-14 remaining after 7 half-life periods, we can use the formula:
Amount remaining = Initial amount * (1/2)^(Number of half-life periods)
Amount remaining = 220 grams * (1/2)^(7)
Calculating this gives us:
Amount remaining = 220 grams * (0.5)^7 = 220 grams * 0.0078125 ≈ 1.72 grams.
Therefore, approximately 1.72 grams of the 220-gram sample would be left after 168 days.