Carbon-14 has a half-life of 5730 y. How much of a 144 g sample of a carbon-14 will remain after 1.719 (times) 10 4y?
To determine how much of a carbon-14 sample will remain after a certain amount of time, we can use the formula for exponential decay:
N(t) = N 0 * (1/2)^(t/h),
where N(t) is the amount of the sample after time t, N 0 is the initial amount of the sample, t is the time elapsed, and h is the half-life of the sample.
In this case, we are given:
N 0 = 144 g (initial amount of the sample)
t = 1.719 * 10^4 years (time elapsed)
h = 5730 years (half-life)
Substituting these values into the formula, we can calculate the remaining amount of the carbon-14 sample:
N(t) = 144 g * (1/2)^(1.719 * 10^4 / 5730).
Calculating this expression will give us the amount of carbon-14 remaining after 1.719 * 10^4 years.