A nurse is preparing to administer 1 L of 0.9% sodium chloride solution to a client over 6 hours. The intravenous (IV) fluid has a drop factor of 15 gt/mL. What will be the gt/min flow rate?

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.

To find the milliliters per hour, you need to calculate the following:

- The patient's weight in kilograms
- The dose of Principen in milligrams
- The infusion rate in milliliters per hour using the formula: Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h

First, convert the patient's weight from pounds to kilograms by dividing by 2.2:

22 lb / 2.2 = 10 kg

Next, multiply the patient's weight by the dose of Principen per kilogram to get the total dose in milligrams:

10 kg x 25 mg/kg = 250 mg

Then, use the formula for infusion rate to find how many milliliters per hour the IV pump should deliver:

Infusion rate (mL/h) = (Total volume (mL) x Flow factor (gt/mL)) / Time (min) x 60 min/h

Since the medication is prepared in 50 mL of solution and the infusion time is 30 minutes, plug in these values into the formula:

Infusion rate (mL/h) = (50 mL x 1 gt/mL) / 30 min x 60 min/h

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 100 mL/h

Therefore, the nurse should administer **100 mL/h** to infuse Principen 250 mg over 30 minutes.