00:01
Let's say we have a sample of radon 222 and it has a half -life of 3 .82 days, which we can write as, let's see, 330 ,000.
00:20
So we'll just write it as 3 .3 times 10 to the 5th seconds.
00:25
And part a says we want to find the number of nuclei necessary to produce an activity of 0 .62 microcuries.
00:38
So one microcury is going to be 3 .7 times 10 to the 10th beckeroles.
00:47
Or sorry, 10 to the fourth becarls.
00:51
So this activity we could write as just 0 .62 times 3 .7 times 10 of the 4th.
00:59
So 22 ,940 beckerails.
01:05
And this should equal like the logarithm of 2 over our half -life times the initial number of samples we have.
01:13
So this is going to be our half -life times 22 ,940 beckerails divided by.
01:23
The natural logarithm of two.
01:25
So times this should be about 1 .09 times 10 to the 10th nuclei...