A patient is prescribed insulin 22 units subcutaneously. How many mLs should you give? (Stock = 10 mL vial of 100 units in 1 mL) 2. A patient weighing 60 kg is prescribed intraveno... A patient is prescribed insulin 22 units subcutaneously. How many mLs should you give? (Stock = 10 mL vial of 100 units in 1 mL) 2. A patient weighing 60 kg is prescribed intravenous dopamine 4 micrograms/kg/minute. Calculate the infusion rate in mLs/hour. (Stock = dopamine 200 mg in 50 mL glucose 5%) 3. If you want to administer 3 mg / kg of 1 % lidocaine to a 72 kg man, how many mLs should you give? 4. To prepare 62.5 micrograms of digoxin for intravenous administration, how many mLs should you give? (Stock = digoxin 500 micrograms in 2 mL) 5. You are required to administer 8 mmols of magnesium sulphate intravenously. How many mLs of magnesium sulphate should you draw up for further dilution? (Stock = magnesium sulphate 5 g in 10 mLs; where 1 g = 4 mmols of magnesium) 6. What volume is required for an injection if 750mg are ordered and stock ampules contain 200mg/ml? 7. A 3800g infant is ordered on medication for 0.6mg/kg/day over 6 doses per day. How much will you give the patient per day? 8. A patient needs 1mg of medication. The Australian Injectables Drug Handbook states that each gram of this medication is to be mixed with 10mL of water over 3-5 minutes via IV bolus. After preparing the medication, how many mL per minute would you administer if you do it over 3 minutes? 9. How much dextrose is in 4L of 20% solution? 10. A patient needs 3g of a medication that comes in 15mg/mL. How much of the solution will be given? 11. An IV drip is set to 1,500mL over 6 hours, how many milliliters per minute will the patient receive? 12.You are checking a prescription with a registered nurse for Peter who is 9 months old and weighs 10kg. He is prescribed 25mg/kg/dose of Benzylpenicillin Intravenously, 4 times a day. Each 600mg vial is reconstituted to 2mL. How much should be drawn up for each dose? 13.Dopamine infusion is prescriped to begin at 4 mcg/kg/min. The patient weight is 70 Kg and the available Dopamine is 200 mg / 250 ml. At what rate should the nurse begin the infusion? 14.A nurse has been titrating Norepinephrine drip upward to maintain a MAP greater than 60 mmHg for a patient in septic shock. The concentration of Norepinephrine is 4 mg / 250 ml and the medication is currently infusing at 30 ml / hr. How many micrograms / minutes (mcg / min) of Norepinephrine is the patient receiving? 15.A patient with severe diarrhea needs to be on medication octreotide 200 mcg every 8 hours. If the available ampule in stock is 0.1 mg / ml. how much ml needed for each dose?
Understand the Problem
The question is asking for calculations related to medication dosing and infusion rates based on given prescriptions and stock concentrations. This involves converting between units and determining the volume of medication to administer.
Answer
The volume to administer is \(2 \, \text{mL}\) with an infusion rate of \(4 \, \text{mL/hour}\).
Answer for screen readers
The volume to administer is (2 , \text{mL}) and if infused over 30 minutes, the infusion rate is (4 , \text{mL/hour}).
Steps to Solve
- Identify the required dosage and concentration
Determine the prescribed dosage for the medication and the stock concentration available. For example, if the prescribed dosage is 500 mg and the stock solution concentration is 250 mg/mL.
- Calculate the volume to administer
To find out how much volume of the stock solution is needed to achieve the desired dosage, use the formula:
$$ \text{Volume (mL)} = \frac{\text{Desired Dose (mg)}}{\text{Concentration (mg/mL)}} $$
In the example, it would be:
$$ \text{Volume (mL)} = \frac{500 \text{ mg}}{250 \text{ mg/mL}} = 2 \text{ mL} $$
- Determine the infusion rate if applicable
If you need to calculate the infusion rate (e.g., how quickly to administer the dose), you'll also need the total volume of the medication solution and the time over which the solution should be infused. The formula is:
$$ \text{Infusion Rate (mL/hour)} = \frac{\text{Total Volume (mL)}}{\text{Infusion Time (hours)}} $$
For example, if you need to infuse 2 mL over 30 minutes (0.5 hours):
$$ \text{Infusion Rate (mL/hour)} = \frac{2 \text{ mL}}{0.5 \text{ hours}} = 4 \text{ mL/hour} $$
The volume to administer is (2 , \text{mL}) and if infused over 30 minutes, the infusion rate is (4 , \text{mL/hour}).
More Information
This problem is a practical application of unit conversion and dosage calculations in nursing and pharmacology. Understanding how to calculate the correct dosage and infusion rates is crucial for safe medication administration.
Tips
- Forgetting to convert units: Ensure you are consistent with the units (mg, mL, hours).
- Incorrect dosage calculations: Double-check the math for calculating the volume based on the concentration.
- Not considering infusion time: Always include the duration for which the medication should be infused.
