A patient is to be given gentamicin iv to achieve steady...

A patient is to be given gentamicin IV to achieve steady state peaks and troughs of 5 and 2 mg/L, respectively. The patient (weight = 92 kg) is estimated to have Vd = 0.4 L/kg. If multiple doses are to be given, determine an appropriate maintenance dose, in milligrams, for this patient. Report numeric answer only rounded to the nearest whole number.

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Transcript

00:01 Hello.

00:02 To answer this question, let's go ahead and just start off by listing out the things that we know here.

00:08 We know that our patient has a mass of 92 .0 kilograms.

00:15 We know that we want to administer the antibiotic, the gentamicin, at a rate of 2 milligrams of the gentamicin for every 1 kilogram of body weight.

00:34 Because notice it says 2 milligrams per kilogram.

00:37 So that means 2 milligrams for every kilogram of the body mass.

00:41 We're also told that the solution, we have 250 milliliters of it.

00:52 And in those 250 milliliters are 0 .500 grams of the antibiotic.

01:01 Okay, and we want to know how many milliliters we have to give the patient.

01:08 Well, we see from our information here that we can start with the mass of the patient.

01:16 Then, by using our first equality, we can convert to milligrams.

01:21 But our second equality is in grams, so we need one more equality to use here to relate milligrams to grams.

01:29 Well, we know there are 1 ,000 milligrams in every gram.

01:35 That's just a metric conversion.

01:37 Milli means 1 ,000, so it takes 1 ,000 of those to equal 1 gram.

01:41 All right, so we can use this to convert to grams...