To calculate the milligrams per hour the client will receive, you need to convert the infusion rate from micrograms per minute to milligrams per hour.
Given:
Infusion rate: 10 mcg/min
Drop factor: 10 gtts/mL
Step 1: Convert milliliters to hours
Since the infusion rate is given in milliliters per minute, we need to convert it to milliliters per hour. There are 60 minutes in an hour, so we can use the following conversion factor:
1 hour = 60 minutes
Infusion rate (mL/hour) = Infusion rate (mL/minute) x 60
Infusion rate (mL/hour) = 1000 mL/min x 60
Infusion rate (mL/hour) = 60000 mL/hour
Step 2: Convert micrograms to milligrams
Since the infusion rate is given in micrograms per minute, we need to convert it to milligrams per hour. There are 1000 micrograms in a milligram, so we can use the following conversion factor:
1 mg = 1000 mcg
Infusion rate (mg/hour) = Infusion rate (mcg/minute) x 60 x (1 mg/1000 mcg)
Infusion rate (mg/hour) = 10 mcg/min x 60 x (1 mg/1000 mcg)
Infusion rate (mg/hour) = 0.6 mg/hour
Therefore, the client will receive 0.6 milligrams per hour.