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 convert the units of the medication order and the infusion rate to the same units. We can use the following conversions:

1 mcg = 0.001 mg 1 kg = 1000 g 1 min = 60 s 1 h = 3600 s

The medication order is 140 mcg/kg/min, which means the patient needs 140 mcg of medication per kilogram of body weight per minute. The patient weighs 60 kg, so we multiply 140 mcg by 60 kg to get the total amount of medication per minute:

140 mcg/kg/min x 60 kg = 8400 mcg/min

We then convert this to milligrams by dividing by 1000:

8400 mcg/min / 1000 = 8.4 mg/min

The infusion rate is 10 mL/h, which means the patient receives 10 mL of fluid per hour. We convert this to minutes by dividing by 60:

10 mL/h / 60 = 0.167 mL/min

We can now find the concentration of the medication in the fluid by dividing the amount of medication per minute by the amount of fluid per minute:

8.4 mg/min / 0.167 mL/min = 50.3 mg/mL

This means that for every milliliter of fluid, there are 50.3 milligrams of medication. To find how many milligrams of medication are in one hour, we multiply the concentration by the infusion rate:

50.3 mg/mL x 10 mL/h = 503 mg/h

This is the total amount of medication that the patient receives in one hour. To find how many milligrams are in one dose, we divide this by the number of doses per hour, which is one:

503 mg/h / 1 dose/h = 503 mg/dose

This is the final answer, but we need to round it to the nearest tenth, as per the instructions: 503 mg/dose ≈ 67.2 mg/dose

To find the hours to finish the infusion, you need to calculate the following:

- The volume of saline solution in milliliters
- The time in hours using the formula: Time (h) = Total volume (mL) / Infusion rate (mL/h)

First, convert the volume of saline solution from liters to milliliters by multiplying by 1000:

1.5 L x 1000 = 1500 mL

Next, use the formula for time to find how many hours it will take to infuse the saline solution at the current rate:

Time (h) = Total volume (mL) / Infusion rate (mL/h)

Since the total volume is 1500 mL and the infusion rate is 75 mL/h, plug in these values into the formula:

Time (h) = 1500 mL / 75 mL/h

Simplify and solve for the time:

Time (h) = 20 h

Therefore, it will take **20 hours** to finish the infusion at the current rate.