if carbon 14 has a half life of 24 days how much would be left of 220 gram sample after 168 days
x = Xi e^-kt
1/2 = e^-24 k
ln .5 = -24 k
-.693 = -24 k
k = .0289
so
x = 220 e^-.0289*168
= 220 * .00779
= 1.71 grams
To determine how much would be left of a 220 gram carbon-14 sample after 168 days, we need to consider the concept of half-life. The half-life of carbon-14 is 24 days, meaning that after 24 days, half of the sample will decay.
To calculate the remaining amount of carbon-14 after a certain number of half-lives, we can use the formula:
Remaining Amount = Initial Amount * (1/2)^(Number of Half-Lives)
In this case, we can calculate the number of half-lives that occurred in 168 days by dividing the total time by the half-life:
Number of Half-Lives = 168 days / 24 days = 7
Now we can substitute the initial amount of carbon-14 (220 grams) and the number of half-lives (7) into the formula:
Remaining Amount = 220 grams * (1/2)^7
Calculating this equation will give us the remaining amount of carbon-14 after 168 days.