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?

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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?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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\[\frac{80mg}{h}\iff \frac{80mL}{h}\]
You need to set the controller to 80mL/hour.
how do i write this out to show the work?

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Other answers:

Well, pretty much as I did it.
They're a set of equivalent statements.
You could write it out word-for-word if you want to.

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