A client is receiving an intravenous infusion of 1.5 L of saline solution at a rate of 75 mL/hr.
How many hours will it take to finish the infusion at the current 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 set the IV pump correctly, you need to calculate the following:

• The patient's weight in kilograms
• The dose of Zofran in milligrams
• The infusion rate in milliliters per hour

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

176 lb / 2.2 = 80 kg

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

80 kg x 0.15 mg/kg = 12 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 mixed in 50 mL of normal saline and the infusion time is 15 minutes, plug in these values into the formula:

Infusion rate (mL/h) = (50 mL x 1 gt/mL) / 15 min x 60 min/h

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 200 mL/h