Exam 8: Advanced Intravenous Calculations

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Calculate the hourly intravenous (IV) flow rates. -Ordered: Isoproterenol (Isuprel) IV infusion 120mcg per hr 120 \mathrm{mcg} \text { per hr } for a patient with coronary artery disease. IV solution at bedside: Isuprel 1mg in 500 mL of D5 W1 \mathrm{mg} \text { in } 500 \mathrm{~mL} \text { of } \mathrm{D} 5 \mathrm{~W} infusing at 50 mL per hr. 50 \mathrm{~mL} \text { per hr. } a. What is the total drug:total mL ratio? b. How many mg per hr are ordered? c. How many mL per hr are ordered? d. Is the solution infusing at the correct flow rate? e. If not, what action should the nurse take?

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a. 1:500(1mg.500 mL) 1: 500(1 \mathrm{mg} .500 \mathrm{~mL})
b. 0.12mg 0.12 \mathrm{mg} per hr (120mcg+1000) (120 \mathrm{mcg}+1000) (conversion: 1000mcg=1mg) 1000 \mathrm{mcg}=1 \mathrm{mg})
c. 60 mL 60 \mathrm{~mL} per hr (1 mg:500 mL=0.12mg:x mL) \mathrm{mg}: 500 \mathrm{~mL}=0.12 \mathrm{mg}: x \mathrm{~mL})
d. No, the flow rate is incorrect.
e. Assess the blood pressure and heart rhythm and rate, and contact the prescriber for flow rate adjustment instructions.

If a patient is receiving 1.5 mg per hr of a drug in an IV, how many mcg per min are being infused?

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1.5×1000=1500mcg per hr 60 min=25mcg 1.5 \times 1000=\frac{1500 \mathrm{mcg} \text { per hr }}{60 \mathrm{~min}}=25 \mathrm{mcg} per min

Conversion factors: 1000mcg=1mg 1000 \mathrm{mcg}=1 \mathrm{mg}

60 min=1hr 60 \mathrm{~min}=1 \mathrm{hr}

Ordered: Magnesium sulfate 1 g per hr for maintenance IV for a patient with preeclampsia. Available: Magnesium sulfate 40 g per 250 mL D5W. What flow rate you will set (in mL per hr rounded to nearest tenth of an mL) on the infusion pump?

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TD \quad \quad TV \quad \quad HD \quad \quad HV 4θmg:25θmL=1 g:x mL 4 \theta \mathrm{mg}: 25 \theta \mathrm{mL}=1 \mathrm{~g}: x \mathrm{~mL}
4:25=1:x 4: 25=1: x
4x=254 x=25
x=6.25 mL x=6.25 \mathrm{~mL} rounded to 6.3 mL 6.3 \mathrm{~mL} per hr


Proof 40×6.25=250 40 \times 6.25=250
\quad \quad 1×250=2501 \times 250=250

Change the dose ordered per min to dose per hr in the metric terms requested. Use a calculator for long division and multiplication. Verify your entries and answers by entering the data twice. -Drug per kg per min: 5 mcg per kg per min Weight: 30 kg a. mcg per hr: b. mg per hr (to nearest tenth of an mg):

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How many mg per mL are contained in this bag of IV solution? How many mg per mL are contained in this bag of IV solution?

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Calculate the hourly intravenous (IV) flow rates. -You check your patient's IV flow rate in ICU on a pump. It is 7.2 mL per hr. 7.2 \mathrm{~mL} \text { per hr. } Ordered: 30 mcg per min 30 \text { mcg per min } IV: 250mg in 1000 mL250 \mathrm{mg} \text { in } 1000 \mathrm{~mL} of solution. a. How many mg per hr are ordered? b. What is the total drug:total mL ratio? c. Is the flow rate correct? If not, what should it be? d. What is the appropriate nursing action, if any?

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Change the dose ordered per min to dose per hr in the metric terms requested. Use a calculator for long division and multiplication. Verify your entries and answers by entering the data twice. -Drug per kg per min: 2 mcg per kg per min . Weight: 5.4 kg . a. mcg per hr: b. mg per hr (to nearest tenth of an mg):

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Calculate the hourly intravenous (IV) flow rates. -Total drug: 100mg.100 \mathrm{mg} . Total volume: 100 mL100 \mathrm{~mL} . Hourly drug ordered: 4mg.4 \mathrm{mg} . What is the hourly volume (mL per hr to nearest tenth of an mL)?

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Solve the following problems using a calculator, moving decimals, reducing drug:total volume ratios, and labeling your answers. -Ordered: Cardizem 20 mg IV for a rapid ventricular rate. Available: Cardizem 5 mg per mL after reconstitution. Literature recommendation: Give each single dose over 2 min. a. What is the total mL to be injected? b. What is the total mL per min to be injected?

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Calculate the hourly intravenous (IV) flow rates. -The IV for a patient in critical care is flowing at 12 mL per hr 12 \mathrm{~mL} \text { per hr } Ordered: 0.2mg per min0.2 \mathrm{mg} \text { per } \mathrm{min} \text {. } IV: 0.2mg per min0.2 \mathrm{mg} \text { per } \mathrm{min} \text {. } a. How many mg per hr are ordered? b. What is the total drug:total mL ratio? c. Is the flow rate correct? If not, what should it be? d. What is the appropriate nursing action, if any?

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Calculate the hourly intravenous (IV) flow rates. -Total drug: 1 g.1 \mathrm{~g} . Total volume: 500 mL500 \mathrm{~mL} Hourly drug ordered: 15mg.15 \mathrm{mg} . What is the hourly volume (mL per hr to nearest tenth of an mL)?

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Calculate the hourly intravenous (IV) flow rates. -Ordered: Sodium nitroprusside IV 0.5 mcg per kg per min 0.5 \text { mcg per kg per min } to maintain blood pressure. Patient weight: 80 kg.80 \mathrm{~kg} . Available: Sodium nitroprusside 25mg in 250 mLD5 W25 \mathrm{mg} \text { in } 250 \mathrm{~mL} \mathrm{D} 5 \mathrm{~W} a. What is the total drug:total mL ratio? b. How many mcg per hr are ordered? c. How many mg per hr are ordered? d. How many mL per hr are needed to the nearest tenth of an mL?

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Ordered: Granisetron hydrochloride injection (Kytril) 10 mcg per kg 10 \text { mcg per kg } IV injection 30 min30 \mathrm{~min} before chemotherapy to reduce nausea and vomiting. Available: Kytril vial IV 0.1mg per mL0.1 \mathrm{mg} \text { per } \mathrm{mL} Patient weight: 60 kg60 \mathrm{~kg} . Dilution: May be given undiluted as an injection into a port over 30 seconds. 30 \text { seconds. } The nurse adds 2.4 mL2.4 \mathrm{~mL} of sterile NS for injection to the medication for ease of timing the injection rate into the injection port. a. What is the total dose of drug in mg to be given? b. What is the total volume of drug for injection? c. How many total seconds per calibration?  Ordered: Granisetron hydrochloride injection (Kytril)  10 \text { mcg per kg }  IV injection  30 \mathrm{~min}  before chemotherapy to reduce nausea and vomiting. Available: Kytril vial IV  0.1 \mathrm{mg} \text { per } \mathrm{mL}  Patient weight:  60 \mathrm{~kg}  . Dilution: May be given undiluted as an injection into a port over  30 \text { seconds. }  The nurse adds  2.4 \mathrm{~mL}  of sterile NS for injection to the medication for ease of timing the injection rate into the injection port. a. What is the total dose of drug in mg to be given? b. What is the total volume of drug for injection? c. How many total seconds per calibration?

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Ordered: Nitroprusside sodium at 0.4 mcg per kg per min for a patient with severe hypertension. Patient weight is 198 lb. Available: Nitroprusside sodium 50 mg in 250 mL D5W. a. What is the patient's weight in kg? b. What is the hourly drug ordered in mg (to the nearest tenth of an mg)? c. What is the flow rate to be set on the infusion pump?

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Ordered: Aminophylline 10 mg per hr for a patient with asthma. Available: Aminophylline 250 mg in 1000 mL D5W infusing at 30 mL per hr on an infusion pump. a. What is the ordered mL per hr flow rate? b. Is the current flow rate correct? If not, what action should the nurse take?

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Calculate the hourly intravenous (IV) flow rates. -Ordered: Diltiazem hydrochloride 5 mg per hr IV infusion for a patient with an arrhythmia. Available from pharmacy: Diltiazem 200 mg in 250 mL NS. a. What is the total drug:total volume ratio in solution? b. What is the flow rate for this order to nearest tenth of an mL? c. How many mg per mL are in the final concentration?

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Calculate the hourly intravenous (IV) flow rates. -Ordered: Nicardipine hydrochloride IV 1.2mg per hr 1.2 \mathrm{mg} \text { per hr } for a patient with hypertension. IV solution at bedside: 25mg25 \mathrm{mg} nicardipine in 500 mL500 \mathrm{~mL} of normal saline (NS) infusing at 24 mL per hr 24 \mathrm{~mL} \text { per hr } a. What is the total drug:total mL ratio? b. What is the mL per hr ordered flow rate for this solution? c. Is the solution infusing at the correct flow rate? d. If not, what action should the nurse take?

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Calculate the hourly intravenous (IV) flow rates. -Total drug: 250mg.250 \mathrm{mg} . Total volume: 1000 mL.1000 \mathrm{~mL} . Hourly drug ordered: 6mg.6 \mathrm{mg} . What is the hourly volume (mL per hr to nearest tenth of an mL)?

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Ordered: Dopamine IV at 4 mcg per kg per min. Safe dose range (SDR): 2-10 mcg per kg per min. IV is flowing at 10 mL per hr. Patient weight: 60 kg. a. Is the order within SDR? b. What is the total mg per min ordered? c. What is the total mg per hr ordered (to the nearest tenth of an mg)? d. How many total mL per hr are ordered? e. Is the current IV flow rate correct? If not, what nursing actions are necessary? Ordered: Dopamine IV at 4 mcg per kg per min. Safe dose range (SDR): 2-10 mcg per kg per min. IV is flowing at 10 mL per hr. Patient weight: 60 kg. a. Is the order within SDR? b. What is the total mg per min ordered? c. What is the total mg per hr ordered (to the nearest tenth of an mg)? d. How many total mL per hr are ordered? e. Is the current IV flow rate correct? If not, what nursing actions are necessary?

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Solve the following problems using a calculator, moving decimals, reducing drug:total volume ratios, and labeling your answers. -Ordered: Morphine sulfate 10 mg direct IV for severe pain. Literature recommendation: Dilute to 5 mL with sterile water for injection or sterile saline for injection and infuse over 4 min. Solve the following problems using a calculator, moving decimals, reducing drug:total volume ratios, and labeling your answers. -Ordered: Morphine sulfate 10 mg direct IV for severe pain. Literature recommendation: Dilute to 5 mL with sterile water for injection or sterile saline for injection and infuse over 4 min.     a. How many mL of the drug will be withdrawn from the vial (to the nearest tenth)? b. How many mL will be in the syringe after dilution? Indicate the dose on the syringe. c. How many mL per min will be injected? d. How many total seconds will the injection take? e. How many seconds per calibration? Solve the following problems using a calculator, moving decimals, reducing drug:total volume ratios, and labeling your answers. -Ordered: Morphine sulfate 10 mg direct IV for severe pain. Literature recommendation: Dilute to 5 mL with sterile water for injection or sterile saline for injection and infuse over 4 min.     a. How many mL of the drug will be withdrawn from the vial (to the nearest tenth)? b. How many mL will be in the syringe after dilution? Indicate the dose on the syringe. c. How many mL per min will be injected? d. How many total seconds will the injection take? e. How many seconds per calibration? a. How many mL of the drug will be withdrawn from the vial (to the nearest tenth)? b. How many mL will be in the syringe after dilution? Indicate the dose on the syringe. c. How many mL per min will be injected? d. How many total seconds will the injection take? e. How many seconds per calibration?

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