A 255-gram laboratory rat is exposed to 23.2 rads. How many grays did the rat receive? How many joules were absorbed by the rat?

Video transcript

Welcome back, everyone. We're told that a typical abdomen ct scan exposes a person to about mg of radiation. How much is this dose in raid units or radiation units? How many jewels are absorbed by a woman? If she weighs 60 kg, we're going to begin by recalling the conversion factor where one gray Which is our unit for radiation is equal to 100 rad. And so we want to figure out the dose of radiation first in rad for part one of our prompt where we would begin with the given 20 mg days of radiation. And we're going to convert from milligrams in the denominator to graze in the numerator where our prefix Milli tells us that we have 10 to the negative third of our base unit gray. Canceling out Millie Grace. We're now going to go from one gray in the denominator to an equivalent of 100 rad. And so now canceling out Grace, we're left with rad as our final unit and this will result in a value of two rad as the dose of radiation for part one of our prompt. Now moving on to part two of our prompt we need to figure out the number of jewels absorbed by the woman given her weight being 60 g. We want to recall the definition of a gray, Which is defined as one jewel absorbed By one kg of body mass. And so with this in mind, we can calculate our jewels of radiation absorbed By beginning with the given 20 mg as our dose from the prompt in which we want to end up with jules as our final unit. So we're going to begin by canceling out milligrams as we did before where milligrams in the denominator is equivalent to 10 to the negative third power grace in the numerator canceling out Millie Grace. We're now going to use our definition of one gray which we understand is one gray by one kg of mass. We would multiply since we have the word by Is equivalent to one Juul or in other words, one jewel of energy is absorbed by one kg of mass of body mass. And so then we want to incorporate the mass of the woman which were given as 60 kg. And so we can so far cancel out our units of grace as well as kg leaving us with jewels, which is what we want. And this will come out to a value of 1.2 jewels absorbed by the woman as our second final answer. So 1.2 jewels of radiation. So it's highlighted in yellow are our two final answers to complete this example corresponding to choice c in the multiple choice. I hope everything I went through is clear. If you have any questions, please leave them down below and I'll see everyone in the next practice video.