help with a calculation

[ilovematt48]

child weighs 9kg

order: dopamine 5mcg/kg/min

dilute 100mg in 200ml of d51/4 NS @ 6.75ml/hr

dose= 2-5mcg/kg/min

drug available dopamine 400 mg/5ml

will the dilution orders yield the correct concentration????????

[Tharem]

9kg....x...5mcg/kg...=...45mcg

................1min...........1min..

100mg...x.....5ml....=...1.25ml

.................400mg

6.75ml...x...100mg........x...1hr.......x..1000mcg...=...56mcg

...1hr...........201.25ml........60min..........1mg...............1min

no, that would yield an overdose.

[Daytonite, BSN, RN]

child weighs 9kg

order: dopamine 5mcg/kg/min

dilute 100mg in 200ml of d51/4 ns @ 6.75ml/hr

dose= 2-5mcg/kg/min

drug available dopamine 400 mg/5ml

will the dilution orders yield the correct concentration??????

dopamine: 100mg/400mg x 5ml = 1.25 ml needed to add to 200ml of d51/4 ns. this gives you a dose on hand of 100 mg of dopamine in 201.25 ml of d51/4ns.

order: dopamine 5mcg/kg/min = 5mcg/9 kg/min = 45 mcg/minute

order: infusion rate of 6.75ml/hr

will the dilution orders yield the correct concentration??????

or rewriting the question,

is 100 mg of dopamine in 201.25 ml of d51/4ns infusing at 6.75 ml/hour = 45 mcg/minute?

6.75 ml/hour

(dose being given)

x 1 hour/60 minute

(conversion factor)

x 100 mg/201.25 ml

(dose on hand)

x 1000 mcg/1 mg

(conversion factor) =

55.9006 mcg/minute

round off to

56 mcg/minute

(dose being given in mcg per minute). go back to the question. . .

is 100 mg of dopamine in 201.25 ml of d51/4ns infusing at 6.75 ml/hour = 45 mcg/minute

? and substitute the answer.

. .is 56 mcg/minute = 45 mcg/minute?

analysis: 56 mcg/minute is 11 mcg/minute more than ordered. in fact, it is double the dose! so,

no

, the dilution orders will

not

yield the correct concentration.