Question

can someone help questions 6-10 specifically? I need to know step by step how to figure out this math. Thank you!

INTRAVENOUS CALCULATIONS Calculate the dosage per min to the tenths, and the ml/hr flow rates. ml/hr Dosage Per min A dosage of 3 mcg/kg/min has been ordered for an 87.4 kg adult. The solution has a strength of 50 mg in 250 ml. A dosage has been ordered at 4 mcg/kg/min using a 400 mg/250 ml solution. The body weight is 92.4 kg. A dosage of 2.5 mcg/kg/min has been ordered. The solution is 500 mg/250 mL. The body weight is 80.7 kg. 4. A dosage of 150 mcg/kg/min has been ordered for a body weight of 92.1 kg. The solution strength is 2.5 g/250mL. 5. A 5mcg/kg/min dosage is ordered for a body weight of 80.3 kg. The solution strength is 1 g/100 ml. 6. A dosage of 2 mcg/kg/min has been ordered for an adult weighing 78.2 kg. The strength of the solution is 40 mg/200 ml. 7. A dosage of 6 mcg/kg/min has been ordered for an adult weighing 88.7 kg. A solution strength of 100 mg/500 mL is to be infused. 8. The body weight is 91.2 kg and a 1.5 mcg/kg/min rate is ordered using a 0.3 g/250 ml solution. 9. A2 mcg/kg/min infusion is ordered is ordered for a 90.3 kg adult. The solution to be used has a strength of 0.5 g/250 ml. 10. A 20 mcg/kg/min dosage is ordered for a body weight of 81.7 kg. The solution available is 1 g/500 ml/hr.

Answer 1

1).

The required dose for the person per each minute is, 87.4 * 3 mcg = 262.2 mcg/min or 0.262 mg

The available strength is, 50 mg in 250 mL

Means, the volume containing 0.262 mg of dose is, 250 x 0.262 / 50 = 1.31 mL

Thus, the dosage per minute is, 1.31 mL

The mL/hr is, 60 min* 1.31 = 78.6 mL

6).

The required dose for the person per each minute is, 78.2 * 2 mcg = 156.4 mcg/min or 0.156 mg

The available strength is, 40 mg in 200 mL

Means, the volume containing 0.156 mg of dose is, 200 x 0.156 / 40 = 0.78 mL

Thus, the dosage per minute is, 0.78 mL

The mL/hr is, 60 min* 0.78 = 46.8 mL

7).

The required dose for the person per each minute is, 88.7 * 6 mcg = 532.2 mcg/min or 0.532 mg

The available strength is, 100 mg in 500 mL

Means, the volume containing 0.532 mg of dose is, 500 x 0.532 / 100 = 2.66 mL

Thus, the dosage per minute is, 2.66 mL

The mL/hr is, 60 min* 1.31 = 159.6 mL