Question

The order for a 5-kg cat is 0.05 micrograms/kg/min of fentanyl. Fentanyl (0.05 mg/mL) is available. The fentanyl will be added to a 150-mL burrette and run at 20 mL/hr. How many milliliters of fentanyl will you add to the burrette?

Answer 1

Answer: 0.3 milliliters

Explanation:Given:

Weight of cat: 5 kg

Dose of fentanyl: 0.05 micrograms/kg/min

Concentration of fentanyl: 0.05 mg/mL

Rate of infusion: 20 mL/hr

First, let's calculate the total amount of fentanyl required per minute:

Dose per minute = Dose per kg per minute × Weight of cat

Dose per minute = 0.05 micrograms/kg/min × 5 kg

Dose per minute = 0.25 micrograms/min

Next, we need to convert the dose from micrograms to milligrams:

Dose per minute = 0.25 micrograms/min ÷ 1000 (to convert to milligrams)

Dose per minute = 0.00025 mg/min

Now, we can calculate the total amount of fentanyl required over the given time period of 1 hour (60 minutes):

Total dose of fentanyl = Dose per minute × 60 minutes

Total dose of fentanyl = 0.00025 mg/min × 60 minutes

Total dose of fentanyl = 0.015 mg

Since the concentration of fentanyl is given as 0.05 mg/mL, we can determine the volume of fentanyl required:

Volume of fentanyl = Total dose of fentanyl ÷ Concentration of fentanyl

Volume of fentanyl = 0.015 mg ÷ 0.05 mg/mL

Volume of fentanyl = 0.3 mL

Therefore, you would add 0.3 milliliters of fentanyl to the burrette to achieve the prescribed dose over the given time period.

i think.