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Intravenous Therapy IV Calculation (Math) Sasha A. Rarang, RN, MSN

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Basic Infusion Time Formula Infusion Time = total volume to infuse Infusion Time = total volume to infuse ml/hr being infused ml/hr being infused How long will it take for a particular amount of solution to be completed? Ex: Calculate the infusion time for an IV solution of 500 ml D5W that is currently infusing at 50 ml/hr? 500 ml = 10 hrs 50 ml/hr OR by ratio 50 ml = 500 ml (cross multiply & solve for x) 1 hr x 50x = 500 x = 10 hrs x = 10 hrs

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Basic Infusion Time Formula Time can also be expressed in hours & minutes Time can also be expressed in hours & minutes Multiply the partial portion (after the decimal point) of the hour by 60 to obtain the time to the nearest minute Multiply the partial portion (after the decimal point) of the hour by 60 to obtain the time to the nearest minute Ex: 500 ml = 6.66 hr Ex: 500 ml = 6.66 hr 75 ml/hr 75 ml/hr.66 x 60 min = 39.6 minutes or 40 minutes Therefore the TOTAL time is 6.66 hrs or 6 hrs & 40 minutes

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Flow Rates Refers to an amount of solution over a period of time Refers to an amount of solution over a period of time Can be expressed as gtts/min or mls/hr Can be expressed as gtts/min or mls/hr –For our purposes, whenever we discuss regulating an IV by the roller clamp or by gravity, we will use the flow rate of gtts/min. –When trying to figure out the flow rate using an IV pump or regulating the IV using a machine, we will use the flow rate of ccs/hr

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Flow Rates Flow rate via gravity or by the roller clamp Flow rate via gravity or by the roller clamp Refer to your handout IV Calculation Worksheet Refer to your handout IV Calculation Worksheet Vital information needed: microdrip or macrodrip; drop factor Vital information needed: microdrip or macrodrip; drop factor

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IV Drug Amounts How much medication is the patient receiving? How much medication is the patient receiving? What is the flow rate to insure proper delivery of the amount of medication ordered? What is the flow rate to insure proper delivery of the amount of medication ordered? D x Q H Ex: An IV of 1000 ml of D5W containing 40,000 U of Heparin is ordered to infuse at 30 ml/hr. Calculate the dosage of Heparin the pt is receiving (How many units/hr of Heparin) 30ml/hr x 40,000 u = 1200 u/hr 1000 ml OR by ratio 40,000 u = x u (cross multiply & solve for x) 1,000 ml 30 ml 1,000 ml 30 ml 1,000x = 1200000 1,000x = 1200000 x = 1200 u/hr x = 1200 u/hr

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IV Drug Amounts Ex: Morphine Sulfate IV drip concentration 50 mg in 100 cc D5W. MD orders 2mg of Morphine per hour. What will the flow rate be to insure delivery of 2 mg/hr? ( How many ccs per hr?) Ex: Morphine Sulfate IV drip concentration 50 mg in 100 cc D5W. MD orders 2mg of Morphine per hour. What will the flow rate be to insure delivery of 2 mg/hr? ( How many ccs per hr?) 2mg/hr x 100 cc = 4 cc/hr 2mg/hr x 100 cc = 4 cc/hr 50 mg 50 mg Or by ratio 50 mg = 2 mg (cross multiply & solve for x) 100 cc x cc 100 cc x cc 50 x = 200 50 x = 200 x = 4 cc/hr x = 4 cc/hr

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