00:01
A patient needs to receive a dose of medicine of 2 .50 micrograms per minute.
00:07
Now, they have an iv bag, and it contains 50 milligrams and 250 milliliters of this medicine.
00:16
We have to find the number of milliliters per hour, or milliliters over hour, that is needed to get this correct dose.
00:27
So what we're going to do is we're going to start with the 2 .50.
00:32
And we're going to write micrograms per minute.
00:37
And we're going to use dimensional analysis to change these units around so that we end up with milliliters per hour.
00:44
Let's start with the easiest one, minutes to hours.
00:48
So we're going to write 60 minutes on the top and one hour on the bottom.
00:53
So now we are in micrograms per hour.
00:57
Next, we're going to convert those micrograms to milligrams.
01:01
Now you can do this in one step, or you can do what i'm going to do and let me show you how to go from micrograms to grams and then grams to milligrams.
01:11
So we want to get rid of micrograms, so we're going to put that on the bottom.
01:15
And there are 10 to the positive six micrograms for every one gram.
01:21
Next, we want to go from grams to milligrams.
01:25
So we're going to say 1 ,000 milligrams for every one gram.
01:31
Now you can write these slightly differently.
01:34
You can also write that it's 10 to the negative 6 grams for every one microgram...