Question

If an IV is mixed so that each 150 mL contains 570mg of the drug lidocaine, how many minutes will it take for 800mg of lidocaine to be administered if the rate is set at 9.0 mL/min ?

A) 25 min
B) 30 min
C) 35 min
D) 40 min

Answer 1

To administer 800mg of lidocaine using an IV solution with a rate of 9.0 mL/min, it will take approximately 23 minutes.

Step-by-step explanation:

To determine the number of minutes it will take for 800mg of lidocaine to be administered, we need to first calculate the total volume of the IV solution that contains 800mg of lidocaine.

We know that each 150mL of the IV solution contains 570mg of lidocaine. So, to find the volume of the solution that contains 800mg of lidocaine, we can set up a proportion:

570mg / 150mL = 800mg / x

Cross multiplying, we get:

570x = 120,000

Dividing both sides by 570, we get:

x = 120,000 / 570

x ≈ 210.53 mL

Now, we can use the rate of 9.0 mL/min to find the number of minutes it will take to administer 210.53 mL:

210.53 mL / 9.0 mL/min ≈ 23.39 min

Rounding to the nearest whole number, it will take 23 minutes to administer 800mg of lidocaine.