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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 D

Explanation

This numeric form is appropriate, according to the Joint Commission, because it does not use a trailing zero after a decimal point, which is a common cause of medication errors and should be avoided. A trailing zero may be misread or misinterpreted as a larger dose or omited altogether, resulting in a 10-fold overdose or underdose, respectively. For example, when prescriptions have been writen for "Coumadin 1.0 mg," patients have received 10 mg in error¹². Therefore, the Joint Commission requires that a trailing zero may be used only when required to demonstrate the level of precision of the value being reported, such as for laboratory results, imaging studies that report the size of lesions, or catheter/tube sizes. It may not be used in medication orders or other medication-related documentation.


The other options are not appropriate numeric forms because:


a) 3.0 uses a trailing zero after a decimal point, which poses a risk of confusion or error.

b) 0.30 uses a trailing zero after a decimal point, which poses a risk of confusion or error.

c) 0.03 is not equivalent to 0.3, as it is 10 times smaller.

Correct Answer is C

Explanation

the correct rate to administer the maintenance dose is 50 mL/hr.

Step 1: Determine the concentration of magnesium sulfate in the solution.

  • There are 40 grams of magnesium sulfate in 1 liter of solution.
  • 1 liter = 1000 mL.

Step 2: Calculate the concentration in grams per mL.

  • 40 grams ÷ 1000 mL = 0.04 grams per mL.
  • Result: 0.04 grams per mL.

Step 3: Determine the required dose per hour.

  • The physician ordered 2 grams per hour.

Step 4: Calculate the volume of solution needed to provide 2 grams of magnesium sulfate.

  • Required dose (2 grams) ÷ concentration (0.04 grams per mL) = volume in mL.
  • 2 grams ÷ 0.04 grams per mL = 50 mL.
  • Result: 50 mL.
  • The calculated rate is 50 mL/hr.

the correct rate to administer the maintenance dose is 50 mL/hr.

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