## anonymous 5 years ago You have on hand morphine 500 mg in 500 mL normal saline. You need to administer morphine 80 mg/hour in a continuous IV infusion to a patient. How many milliliters per hour will you set on the controller?

1. anonymous

You know that 500mg is related to 500mL; that is,$500mg \iff 500mL$But that's the same as (after dividing both sides by 500),$1mg \iff 1mL$but again, that's the same as$\frac{1mg}{h} \iff \frac{1mL}{h}$which again is the same as$\frac{80mg}{h}\iff \frac{80mL}{h}$

2. anonymous

You need to set the controller to 80mL/hour.

3. anonymous

how do i write this out to show the work?

4. anonymous

Well, pretty much as I did it.

5. anonymous

They're a set of equivalent statements.

6. anonymous

You could write it out word-for-word if you want to.