00:01
For this question we are looking at carbon dating.
00:05
So the initial amount of carbon 14 in a living organism, we approximate that to be about 0 .25 baccarus per gram.
00:20
And now we have a sample which is 0 .23 backgros per gram.
00:31
This is for living organism.
00:33
And now this is what we have our sample.
00:41
So we want to know what is the date in which this particular object has kind of died or was buried.
00:56
And to do that we first need the half -life of our carbon 14.
01:02
So the t half of carbon is 5 ,730 years.
01:18
And we know that for a period of time, let's say time t, the amount of activity, right, at time t, after death or after it's buried, which goes to the initial amount multiplied by half to the power of t over t half.
01:52
All right, where? this fraction over here tells us how many half lives has passed.
02:04
And so the amount of half life that has passed will tell us how many factors of half we need to apply to our initial amount.
02:18
What we want is then to find out our t right this is our unknown and we are given that our final amount or final rate final activity is 0 .23 initial is 0 .25 we assume half the power of t over our t half is given as 5730 years...