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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 ["120"]

Explanation

Here's how to calculate the rate (mL/hour) for the infusion pump to deliver lidocaine 4 mg/minute:

1. Lidocaine concentration:

The medication bag contains 1 gram of lidocaine in 500 mL of dextrose 5% in water.

Convert grams to milligrams: 1 gram = 1000 milligrams

Lidocaine concentration (mg/mL) = Total lidocaine (mg) / Volume (mL)

Lidocaine concentration (mg/mL) = 1000 mg / 500 mL

Lidocaine concentration (mg/mL) = 2 mg/mL (round to nearest whole number)

2. Prescribed lidocaine dose: 4 mg/minute (given)

3. We need to find the volume delivered per hour (mL/hour) to achieve the prescribed lidocaine dose (4 mg/minute) considering the concentration (2 mg/mL) in the bag.

Infusion rate (mL/hour) = Dose (mg/minute) x Minutes per hour / Concentration (mg/mL)

However, there's a mismatch in units between dose (mg/minute) and concentration (mg/mL).

To address this, we can convert the infusion duration (minutes) to hours to match the concentration units (mg/mL).

Conversion factor: 60 minutes/hour

Infusion rate (mL/hour) = Dose (mg/minute) x (60 minutes/hour) / Concentration (mg/mL)

Infusion rate (mL/hour) = 4 mg/minute * 60 minutes/hour / 2 mg/mL

Infusion rate (mL/hour) = 120 mL/hour (round to nearest whole number)

Therefore, the nurse should program the infusion pump to deliver approximately 120 mL/hour.

Correct Answer is ["17"]

Explanation

Let’s calculate the solution step by step:

Calculate the Total Drops in the IV Bag:

The total number of drops in the IV bag can be calculated using the formula:

Totaldrops = VolumeinmL × DropspermL

Substituting the given values:

Totaldrops = 150mL × 10drops/mL = 1500drops

Calculate the Rate in Drops/Minute:

The rate in drops per minute can be calculated using the formula:

Rateindrops/minute = Totaldrops​ / Timeinminutes

Substituting the given values:

Rateindrops/minute = 1500drops/90minutes ​≈ 16.67drops/minute

Since the problem asks for the rate to be rounded to the nearest whole number if necessary, the final rate is 17 drops/minute.

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