A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2g in 500mL D5W. How many mg/minute is the patient receiving?

Answer:2 mg/minute.Step-by-step explanation:We have been given that a drug is mixed 2 g in 500 ml.First of all, we will convert 2 grams to milligrams. 1 gram equals 1000 milligrams.2 grams = 2,000 mg.Now, we will find amount of mg per ml as:[tex]\text{The amount of mg per ml}=\frac{2000\text{ mg}}{\text{500 ml}}[/tex][tex]\text{The amount of mg per ml}=\frac{4\text{ mg}}{\text{ml}}[/tex]We have been given that a lidocaine drip is infusing at 30 mL/hr on an infusion device, so amount of mg per hr would be:[tex]\text{Amount of mg per hour}=\frac{30\text{ ml}}{\text{ hr}}\times \frac{4\text{ mg}}{\text{ml}}[/tex][tex]\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}[/tex]We know 1 hour equals 60 minutes.[tex]\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}\times \frac{\text{1 hour}}{\text{60 minutes}}[/tex][tex]\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{60 minutes}}[/tex][tex]\text{Amount of mg per hour}=\frac{2\text{ mg}}{\text{minute}}[/tex]Therefore, the patient is receiving 2 mg/minute.