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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?

A.

10 hours

B.

7.5 hours

C.

20 hours

D.

15 hours

Answer and Explanation

The Correct Answer is C

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.
 


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Related Questions

Correct Answer is B

Explanation

The nurse should administer 60 mL of the supplement in a day.

This answer is correct because it is based on a simple unit conversion and multiplication calculation. The nurse can convert 60 mEq to 20 mL by using the ratio given on the botle label, as follows:

30 mEq / 10 mL = 60 mEq / x mL

Cross-multiplying and solving for x gives:

x = 20 mL

Therefore, the nurse should administer 20 mL of the supplement to deliver 60 mEq of the medication to the patient. Since the order is for three times a day, the nurse should multiply 20 mL by 3 to get the total daily dose, which is 60 mL.

Correct Answer is A

Explanation

To find the milligrams per minute, you need to calculate the following:

- The volume of Lopressor in milliliters
- The infusion rate in milliliters per minute using the formula: Infusion rate (mL/min) = Total volume (mL) / Time (min)
- The dose of Lopressor in milligrams per minute using the formula: Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


First, divide the dose of Lopressor by the concentration to get the volume in milliliters:


5 mg / 1 mg/mL = 5 mL

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


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


Since the total volume is 5 mL and the time is 2 minutes, plug in these values into the formula:


Infusion rate (mL/min) = 5 mL / 2 min


Simplify and solve for the infusion rate:


Infusion rate (mL/min) = 2.5 mL/min


Then, use the formula for dose to find how many milligrams per minute the patient should receive:


Dose (mg/min) = Infusion rate (mL/min) x Concentration (mg/mL)


Since the infusion rate is 2.5 mL/min and the concentration is 1 mg/mL, plug in these values into the formula:


Dose (mg/min) = 2.5 mL/min x 1 mg/mL


Simplify and solve for the dose:


Dose (mg/min) = 2.5 mg/min


Therefore, the patient should receive **2.5 mg/min** of Lopressor.

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