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 238 lb patient is taking a chemo drug costing 37.68 cent per mg. The recommended dose is 22.96 mg per kg of body weight. The nurse is administering a solution of 3.28 mg/mL concentration and the pump is infusing it at the rate of 2 mL/min. The tubing of this particular pump delivers 25 gtt/mL.
How long did it take for the patient to complete the infusion, in minutes?
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lb equals 378.64 kg
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This problem has the following paired information:
37.68 cent = 1 mg drug
3.28 mg drug = 1 mL solution
22.96 mg drug = 1 kg body weight
2 ml solution = 1 min
25 drops = 1 mL solution
patient's body weight = 238 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 2 mL/min and flip and use as the first fraction.
| 1 min | × | 1 mL | × | 22.96 mg | × | 238 lb | × | 1 Kg |
| 2 mL | 3.28 mg | 1 Kg | 1 | 2.2 lb |
Therefore, the total time is 378.64 minutes. Ans.