00:01
Hi, this is a question based on carbon dating.
00:05
So, carbon dating.
00:07
So, this can be used to estimate the age of the, so age of organic materials.
00:18
So, here the decay rate is measured in terms of activity.
00:21
So, here we are given with 7 decays.
00:24
So, 7 decays per second.
00:30
So, this is the activity which can be related to initial amount of the carbon.
00:34
Then we have the mass of the carbon is given as 71 gram and we are given with the activity.
00:40
So, this is the activity of the carbon and we have the ratio of, so ratio of, so ratio of 14 c to 12 c in leaving trace is given by 1 .3 into 10 power minus 12.
00:56
So, now we have the half life is given by, so t1 by t2 is given by it is approximately 5730 years.
01:05
Now, we have to calculate the initial number of atoms which is given by n naught is equal to mass into molar mass divided by avogadro number that is 6 .022 into 10 power 23.
01:19
So, here we have mass is given as 71 divided by 12 .01 into 6 .022 into 10 power 23.
01:27
So, we have the initial number of atom is 3 .55 into 10 power 23 atoms.
01:33
Now we have to calculate the decay constant.
01:36
So, we have the expression for lambda is given by activity by n naught.
01:41
So, activity has the value of 1 .3 into, so or 7 decays per second.
01:49
So, it is 7 decays per second divided by 3 .55 into 10 power 23 atoms...