The pharmacy delivers an IV infusion of sodium chloride 100 mL with regular insulin 50 units for a client in diabetic ketoacidosis. The prescription rate is 10 units/hour. How many mL/hour should the nurse program the infusion pump? (Enter numeric value only.)
The Correct Answer is ["20"]
First, we need to find out how many mL of the solution contains 10 units of insulin, which is the prescribed rate per hour.
Given:
The solution contains 50 units of insulin in 100 mL.
The prescription rate is 10 units/hour.
We can set up the proportion as follows:
10 units/ x mL = 50 units/100 mL
Solving for x gives us the volume in mL that contains 10 units of insulin.
Cross-multiplying and solving for x:
X = 10 units×100 mL/50 units
After performing the calculation, we find that x equals 20 mL.
So, the nurse should program the infusion pump to deliver 20 mL/hr. This is because 20 mL of the solution contains the prescribed 10 units of insulin.
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Related Questions
Correct Answer is ["0.8"]
Explanation
Here's how to calculate the volume the nurse should administer:
Concentration of epoetin alfa: 10,000 units/mL (given on the vial label)
Prescribed dose: 8,200 units
We need to find the volume (in mL) that contains the prescribed dose (8,200 units) of epoetin alfa.
Dosage calculation:
Volume to administer (mL) = Dose (units) / Concentration (units/mL)
Volume to administer (mL) = 8,200 units / 10,000 units/mL
Volume to administer (mL) = 0.82 mL (round to nearest tenth as requested)
Therefore, the nurse should administer 0.8 mL.
Correct Answer is ["1"]
Explanation
Here's the breakdown:
Prescribed dose: 2 mg midazolam (given)
Vial concentration: 4 mg/2 mL (label)
We need to find the volume containing the 2 mg dose considering the concentration.
Calculation:
Volume (mL) = Dose (mg) / (Concentration (mg/mL) / 2)
We divide the concentration by 2 because we need the volume that delivers 2 mg (half the concentration).
Volume (mL) = 2 mg / (4 mg/mL / 2)
Volume (mL) = 2 mg / 2 mg/mL
Volume (mL) = 1 mL
Therefore, the nurse should administer 1 mL of midazolam to deliver the prescribed dose of 2 mg.
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