A laboratory rat is exposed to an alpha-radiation source whose activity is 14.3 mCi. (a) What is the activity of the radiation in disintegrations per second? In becquerels?

Video transcript

welcome back everyone. We have radioactive iodine iodine 1 31. Which can be used to treat hyperthyroidism in adults. The recommended maximum activity dosage for the treatment is 10 million curies. We need to determine the value of this radiation in disintegration per second and in Becquerels. So we want to recall some conversion factors first. That one curie which is represented by C. Under case I. Is equal to a total of 3.7 times 10 to the 10th power disintegration. So D. I. S per second. We also want to recall that one mil curie so M. C. I. Is equivalent to 10 to the negative third power curious. And our third conversion factor we recall is that one Becquerel Is equal to one disintegration per second. So beginning with the unit were given from the prompt which is our 10 militaries. We're going to get rid of that unit militaries by converting from militaries to curious where we would utilize that conversion factor. Where we understand that we have one military equivalent to 10 to the negative third power curies allowing us to get rid of military so far. And now that we're at curious. We're going to go from curious into disintegration per second by recalling our next conversion factor where we have one curie that is equivalent to 3.7 times 10 to the 10th power disintegration per second. Now that our curies are diagonally aligned. We can cancel them out and go from disintegration per second where actually this is where we would stop to get our answer here, which is going to equal a value of 3.7 times to the eighth Power disintegration per second. And because we recall from our conversion factor above that, this is equivalent to one Becquerel. We would understand that this is also equivalent to 3.7 times 10 to the eighth power quarrels. And so for our two final answers, we've determined our value for the radiation and disintegration per second, as well as in Becquerels. So it's highlighted in yellow here represents our two final answers. If you have any questions, leave them down below and I will see everyone in the next practice video.