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

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

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