Question

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 1

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:

$\text{The amount of mg per ml}=\frac{2000\text{ mg}}{\text{500 ml}}$

$\text{The amount of mg per ml}=\frac{4\text{ mg}}{\text{ml}}$

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:

$\text{Amount of mg per hour}=\frac{30\text{ ml}}{\text{ hr}}\times \frac{4\text{ mg}}{\text{ml}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}$

We know 1 hour equals 60 minutes.

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{ hr}}\times \frac{\text{1 hour}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{120\text{ mg}}{\text{60 minutes}}$

$\text{Amount of mg per hour}=\frac{2\text{ mg}}{\text{minute}}$

Therefore, the patient is receiving 2 mg/minute.