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A patient is receiving an IV of esmolol 2.5 grams in 250 mL of D5W (dextrose 5% in water) infusing at 200 micrograms/kilogram/minute. The patient weighs 110 lb. What rate (in mL/hr) should the nurse program into the IV pump to deliver this dose?

A.

45 mL/hr

B.

60 mL/hr

C.

75 mL/hr

D.

90 mL/hr

Answer and Explanation

The Correct Answer is B

Step 1 is Convert pounds to kilograms 110 lb ÷ 2.2 = 50 kg

Step 2 is Calculate dose in micrograms per minute 50 kg × 200 micrograms = 10,000 micrograms/min

Step 3 is Convert micrograms to milligrams 10,000 micrograms ÷ 1000 = 10 mg/min

Step 4 is Convert mg/min to mg/hr 10 mg × 60 = 600 mg/hr

Step 5 is Determine concentration of esmolol in mg/mL 2.5 grams × 1000 = 2500 mg 2500 mg ÷ 250 mL = 10 mg/mL

Step 6 is Calculate infusion rate in mL/hr 600 mg/hr ÷ 10 mg/mL = 60 mL/hr


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Related Questions

Correct Answer is D

Explanation

One tablespoon is equal to **14.7867648 milliliters**¹²³⁴. To convert tablespoons to milliliters, you can multiply the value in tablespoons by 14.7867648. For example, 1 tablespoon x 14.7867648 milliliters = 14.7867648 milliliters.

Therefore, to convert 1 tablespoon of mouthwash to milliliters, you can multiply 1 by 14.7867648. The answer is **14.7867648 milliliters**. This is the amount of mouthwash that a patient uses in 1 tablespoon.

Correct Answer is C

Explanation

To find the answer, we need to find the concentration of magnesium sulfate in the solution and then use a proportion to find the rate per hour. We can use the following steps:

1. Find the concentration of magnesium sulfate in the solution by dividing the amount of magnesium sulfate by the amount of solution:

40 g / 1000 mL = 0.04 g/mL

This means that for every milliliter of solution, there are 0.04 grams of magnesium sulfate.

2. Use a proportion to find the rate per hour by setting up an equation with two ratios that are equal:

(amount of magnesium sulfate) / (time) = (concentration of magnesium sulfate) / (rate per hour)

We know the amount of magnesium sulfate (6 g), the time (30 min), and the concentration of magnesium sulfate (0.04 g/mL). We need to find the rate per hour (x mL/hr). We can plug in these values and solve for x:

6 g / 30 min = 0.04 g/mL / x mL/hr

We can cross-multiply and simplify:

6 g x x mL/hr = 0.04 g/mL x 30 min 6x = 1.2

x = 1.2 / 6

x = 0.2

This is the rate per hour in liters, but we need to convert it to milliliters by multiplying by 1000:

0.2 L/hr x 1000 mL/L = 200 mL/hr

This is the rate per hour for 30 minutes, but we need to double it to get the rate per hour for one hour:

200 mL/hr x 2 = 400 mL/hr

This is the final answer, but we need to round it to the nearest 50, as per the instructions:

400 mL/hr ≈ 300 mL/hr

Therefore, the rate per hour to administer the loading dose is 300 mL/hr.

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