Question

500 ml of IV solution contains 75 mg of Medication X. If a patient receives this IV solution at the rate of 60 cc/hr, how much of this Medication X will receive after 20 hours of infusion?

Answer 1

After 20 hours of infusion at a rate of 60 cc/hr from a 500 mL IV solution containing 75 mg of Medication X, the patient will receive 180 mg of the medication.

Step-by-step explanation:

To calculate the amount of Medication X received by a patient after 20 hours of an IV infusion, we will use proportional relationships between the total amount of medication in the IV solution and the rate at which the IV is administered to the patient. Given that 500 mL of IV solution contains 75 mg of Medication X and the infusion rate is 60 cc/hr, we aim to find out how much medication is administered over a period of 20 hours.

First, we need to figure out how much solution is given in 20 hours, which is done by multiplying the flow rate (60 cc/hr) by the time period (20 hours).

60 cc/hr × 20 hr = 1200 cc

Since 500 mL of the solution contains 75 mg of Medication X, we can calculate the dose received using the proportional relationship:

Medication X dose (mg) = Medication in solution (mg) × (Infused volume (mL) / Total volume of IV solution (mL))

Medication X dose (mg) = 75 mg × (1200 mL / 500 mL)

Medication X dose (mg) = 75 mg × 2.4

Medication X dose (mg) = 180 mg

Therefore, the patient will receive 180 mg of Medication X after 20 hours of infusion.

Answer 2

ml=cc

75mg/500ml = 0.15mg/ml

60ml/hour x 20 hours = 1200ml

1200 x 0.15 = 180mg

Step-by-step explanation:

As above the math explains answer