Dimensional Analysis - Complex
1. Units and Conversion 1.6) Dimensional Analysis 1.6.1) Dimensional Analysis
1.6.1.1) Dimensional Analysis Hard 1
Total tried: Correct: Wrong:
A 182 lb patient is taking a chemo drug costing 46.12 cent per mg. The recommended dose is 3.78 mg per kg of body weight. The nurse is administering a solution of 0.54 mg/mL concentration and the pump is infusing it at the rate of 1.1 mL/min. The tubing of this particular pump delivers 17 gtt/mL.
How long did it take for the patient to complete the infusion, in minutes?
Click on the button below to see the answer and explanations
lb equals 526.45 kg
-
This problem has the following paired information:
46.12 cent = 1 mg drug
0.54 mg drug = 1 mL solution
3.78 mg drug = 1 kg body weight
1.1 ml solution = 1 min
17 drops = 1 mL solution
patient's body weight = 182 lb
Also, you need to know that 1 kg = 2.2 lb.
Since this problem is asking the time in minutes unit, we have to take the relationship where min unit is present. Hence, we take 1.1 mL/min and flip and use as the first fraction.
| 1 min | × | 1 mL | × | 3.78 mg | × | 182 lb | × | 1 Kg |
| 1.1 mL | 0.54 mg | 1 Kg | 1 | 2.2 lb |
Therefore, the total time is 526.45 minutes. Ans.