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 ["0.64"]
Explanation
Here's the calculation to determine the volume to administer:
Prescribed dose: 40 mg methylprednisolone
Medication vial concentration: 125 mg per 2 mL (given on the vial label)
We need to find the volume (mL) containing the prescribed dose (40 mg) of methylprednisolone.
Calculation:
Volume to administer (mL) = Dose (mg) / Concentration (mg/mL)
Since the concentration is given in mg per 2 mL, we need to adjust it to mg/mL for accurate calculation:
Concentration (mg/mL) = Total mg / Volume (mL)
Concentration (mg/mL) = 125 mg / 2 mL
Concentration (mg/mL) = 62.5 mg/m
Now, with the concentration in mg/mL, we can calculate the volume to administer:
Volume to administer (mL) = 40 mg / 62.5 mg/mL
Volume to administer (mL) = 0.64 mL (round to nearest hundredth as requested)
Therefore, the nurse should administer 0.64 mL of methylprednisolone.
Correct Answer is ["100"]
Explanation
The nurse should set the infusion pump to deliver the entire 150 mL over the course of 90 minutes.
First, convert the time from minutes to hours because the rate is required in mL/hr.
90 minutes is 1.5 hours (since 1 hour = 60 minutes).
Therefore, the IV pump should be set to deliver:
Rate(mL/hr)=Time(hr)Totalvolume(mL)=1.5hr150mL
After performing the calculation, we find that the rate equals 100 mL/hr.
So, the nurse should set the infusion pump to deliver 100 mL/hr. This is rounded to the nearest whole number as per the instructions.
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