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.
Nursing Test Bank
Naxlex Comprehensive Predictor Exams
Related Questions
Correct Answer is ["0.5"]
Explanation
Here's how to calculate the volume (mL) of filgrastim the nurse should administer:
1. Client weight conversion:
Client weight: 132 pounds
Medication dosage is based on weight per kilogram (kg).
Conversion factor: 1 kg = 2.205 lbs
Client weight (kg): 132 pounds / 2.205 lbs/kg = 60 kg (round to nearest whole number)
2. Filgrastim dosage:
Prescribed dose: 5 mcg/kg/day (given)
3. Daily filgrastim amount:
Daily dose (mcg) = Dose (mcg/kg/day) x Client weight (kg)
Daily dose (mcg) = 5 mcg/kg/day * 60 kg
Daily dose (mcg) = 300 mcg (round to nearest whole number)
4. Filgrastim vial concentration:
The medication is available in 480 mcg/0.8 mL. This indicates the concentration of filgrastim in the vial is 480 mcg per 0.8 mL.
5. We need to find the volume (mL) to administer that provides the daily dose (300 mcg) based on the medication concentration (480 mcg/0.8 mL).
Volume to administer (mL) = Daily dose (mcg) / Concentration (mcg/mL)
Volume to administer (mL) = 300 mcg / (480 mcg/0.8 mL)
To perform the division accurately, we need the concentration in the same units (mcg/mL) for both the numerator and denominator.
We can achieve this by multiplying the vial concentration (480 mcg/0.8 mL) by a factor that converts the denominator (0.8 mL) to 1 mL.
Factor = 1 mL / 0.8 mL = 1.25 (since 1.25 x 0.8 mL = 1 mL)
Apply the factor to adjust the concentration in the denominator:
Adjusted concentration = 480 mcg/0.8 mL * 1.25 = 600 mcg/mL
Now, calculate the volume to administer:
Volume to administer (mL) = 300 mcg / (600 mcg/mL)
Volume to administer (mL) = 0.5 mL (round to nearest tenth as requested)
Therefore, the nurse should administer approximately 0.5 mL of filgrastim subcutaneously.
Correct Answer is ["0.1"]
Explanation
Here's how to calculate the volume the nurse should administer:
1. Dose of cyanocobalamin (vitamin B12): 100 mcg
2. Concentration of cyanocobalamin in the vial: 1 mg/mL (given on the vial label)
We need to find the volume (in mL) that contains the prescribed dose (100 mcg) of cyanocobalamin.
Calculation:
Volume to administer (mL) = Dose (mcg) / Concentration (mcg/mL)
Note: Since both the medication dose and concentration are given in mcg units, we can directly perform the calculation without converting units.
Volume to administer (mL) = 100 mcg / 1 mg/mL
Conversion:
1 mg is equal to 1000 mcg. Therefore, 1 mg/mL is the same as 1000 mcg/mL.
Volume to administer (mL) = 100 mcg / (1000 mcg/mL)
Volume to administer (mL) = 0.1 mL (round to nearest tenth as requested)
Therefore, the nurse should administer approximately 0.1 mL of the cyanocobalamin injection.
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