Dosage calculation

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Hello,

I am working on a calculation for changing from one IV opioid to another and maintaining approximate equal pain relief. I'm just having trouble figuring out if i'm setting up my equation correctly.

Question: If a patient is receiving meperidine 25 mg/hr via continuous IV drip, how much morphine IV/hr would be required for the same analgesic effect?

We have a chart that says meperidine 75 mg IV is equivalent to 10 mg IV for morphine sulfate.

So i set up my calculation as: 75 mg X 25 mg

-------- --------

10 mg X mg

75 (X) = 10 (25)

75 x = 250

x=3.33 mg/hr of morphine

This doesn't really seem right for me, but this is the most logical equation i can seem to come up with.... what do you guys think?

Specializes in OR, Nursing Professional Development.

I get the same answer.

Specializes in Psych/Mental Health.

Why don't you think it seems right?

75mg/hr of meperidine = 10mg/hr of Morphine

So if I need 25mg/hr of meperidine, I would need less mg of morphine than 10mg/hr.

It makes total sense to me.

I'm not sure why i thought it didn't make sense, maybe because we haven't been taught how to actually convert between opioid medications. But yeah, I just didn't understand how the number could be lower than 10. but if that is the answer that you guys are coming up with then it should be right? i tried working on it last night but gave up and then i looked at it again this morning and this is what I got. Thank you.

Specializes in Psych/Mental Health.
I'm not sure why i thought it didn't make sense, maybe because we haven't been taught how to actually convert between opioid medications. But yeah, I just didn't understand how the number could be lower than 10. but if that is the answer that you guys are coming up with then it should be right? i tried working on it last night but gave up and then i looked at it again this morning and this is what I got. Thank you.

Think of it this way: If the number is higher than 10, you will be giving more than 75mg/hr meperidine. Is the patient ordered to get more than 75?

but yeah, 3.33 sounds right.

Think of it this way: If the number is higher than 10, you will be giving more than 75mg/hr meperidine. Is the patient ordered to get more than 75?

but yeah, 3.33 sounds right.

Alright yeah, that makes sense since its only 25 mg/hr of meperidine

Think of it like this... 75 is equal to 10. You are delivering a third of 75 (25), so your equivalent should be a third of 10 (3.33). If you were delivering double the 75 (150), then you could double the 10 to get the equivalent (20).

Think of it like this... 75 is equal to 10. You are delivering a third of 75 (25), so your equivalent should be a third of 10 (3.33). If you were delivering double the 75 (150), then you could double the 10 to get the equivalent (20).

hmm didn't think of it that way..thanks!!!

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