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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.)
Answer and Explanation

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 ["0.5"]

Explanation

Here's how to calculate the volume the nurse should administer after reconstituting the medication:

1. Reconstitution and Concentration:

The medication label states adding 2.5 mL of normal saline will make a solution with a concentration of 1 gram per mL. This means after reconstituting, each 1 mL of the solution will contain 1 gram of medication.

2. Dose conversion:

The client's prescription is for 500 mg. We need to convert it to grams since the concentration is in grams per mL.

Conversion: 1 gram (g) = 1000 milligrams (mg)

Prescribed dose (g) = 500 mg / 1000 mg/g

Prescribed dose (g) = 0.5 g (round to nearest tenth)

3. Calculate the volume to administer:

We know the concentration after reconstitution (1 gram/mL) and the desired dose in grams (0.5 g).

Volume to administer (mL) = Dose (g) / Concentration (g/mL)

Volume to administer (mL) = 0.5 g / 1 g/mL

Volume to administer (mL) = 0.5 mL (round to nearest tenth as requested)

Therefore, the nurse should administer approximately 0.5 mL of the reconstituted medication to the client.

Correct Answer is ["18"]

Explanation

Here's how to calculate the rate (mL/hour) for the infusion pump:

Heparin concentration:

The medication is available in a 250 mL bag containing 20,000 units of heparin.

Heparin concentration (units/mL) = Total heparin (units) / Volume (mL)

Heparin concentration (units/mL) = 20,000 units / 250 mL

Heparin concentration (units/mL) = 80 units/mL (round to nearest whole number)

Prescribed heparin dose: 1,400 units/hour (given)

We need to find the volume delivered per hour (mL/hour) to achieve the prescribed heparin dose (1400 units/hour) considering the concentration (80 units/mL).

Infusion rate (mL/hour) = Dose (units/hour) / Concentration (units/mL)

Infusion rate (mL/hour) = 1400 units/hour / 80 units/mL

Infusion rate (mL/hour) = 17.5 mL/hour (round to nearest whole number)

Therefore, the nurse should program the infusion pump to deliver approximately 18 mL/hour.

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