Question

heparin 25,000 units in 500 ml d₅w at 50 ml/hour has been infusing for 5.5 hours. how many units of heparin has the client received?

a 13,750 units.

b 17,750 units.

c 15,750 units.

d 11,750 units.

Explanation:

Step1: Find total volume infused

First, we calculate the total volume of the solution that has been infused. The infusion rate is 50 mL/hour and the time is 5.5 hours. So, the volume \( V \) is given by the formula \( V = \text{rate} \times \text{time} \).
\( V = 50 \, \text{mL/hour} \times 5.5 \, \text{hours} = 275 \, \text{mL} \)

Step2: Find units per mL

Next, we find how many units of heparin are in each mL of the solution. There are 25,000 units in 500 mL. So, the concentration \( C \) (units per mL) is \( C=\frac{25000 \, \text{units}}{500 \, \text{mL}} = 50 \, \text{units/mL} \)

Step3: Calculate total units received

Now, we multiply the volume infused (275 mL) by the concentration (50 units/mL) to find the total units of heparin received.
Total units \( = 275 \, \text{mL} \times 50 \, \text{units/mL} = 13750 \, \text{units} \)

Answer:

A. 13,750 units