Homework 6 doses key.pdf - Homework 6 Doses parts A B – KEY UNITS MUST BE ADDED TO ALL ANSWERS WHERE RELEVANT If you need to add the unit milliliter

Homework 6 doses key.pdf - Homework 6 Doses parts A B –...

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1 Homework 6 - Doses parts A & B – KEY UNITS MUST BE ADDED TO ALL ANSWERS WHERE RELEVANT! If you need to add the unit milliliter, please write mL and not ml. 1. A neonate order is 0.03 mg/kg of a 1:10,000 solution. The patient weighs 4.4 lb. How many milliliters of the solution will be needed? [Please present units as mL and not ml] Answer Weight of patients in kilograms 1 kg = W kg W = 2 kg 2.2 lb 4.4 lb Dose of patient is 0.03 mg/kg x 2 kg = 0.06 mg Let’s find the volume of 0.06 mg using the expression of concentration, ratio strength. First we will express the ratio strength in milligrams/mL 1:10,000 = 1 g = 1,000 mg = 1 mg 10,000 mL 10,000 mL 10 mL We can now build a proportion and calculate the volume of 0.06 mg 1 mg = 0.06 mL j = 0.6 mL, answer 10 mL j mL Dimensional analysis ? = volume (mL) In the concentration we express it with the volume in the numerator because we know that we need an answer in volume (milliliters). 0.03 mg ; 10,000 mL ; 4.4 lb 1 kg 1 g 0.03 mg x 10,000 mL x 4.4 lb x 1 g x 1 kg = 0.6 mL, answer 1 kg 1 g 1,000 mg 2.2 lb 2. A patient needs 4,400 units/kg/hr of a drug for a 12-hour infusion. The patient weighs 172 pounds. What is the total number of units the patient will receive over the 12-hour infusion? [Please use “units” for units]
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2 Answer Let’s find the weight of the patient in kg 1 kg = W kg W = 78.1818 kg 2.2 lb 172 lb The number of units that the patient will receive per hour is 4,400 units/kg/h x 78.1818 kg = 344,000 units/h The total number of units for 12 hours is 344,000 units/h x 12 h = 4,128,000 units, answer Dimensional analysis ? = dose (units) 4,400 units ; 12 hr ; 172 lb kg x hr 4,400 units x 12 hr x 172 lb x 1 kg = 4,128,000 units, answer kg x hr 2.2 lb 3. A medication order of a drug calls for a dose of 0.6 mg/kg to be administered to a child weighing 31 lb. The drug is to be supplied for a solution containing 0.25 g in a 50 mL bottle. How many milliliters of this solution are required to fill this order? [Please present units as mL and not ml] [Round to the nearest hundredth] Answer 31 lb = 14.1 kg Dose is 0.6 mg/kg x 14.1 kg = 8.46 mg 250 mg = 8.46 mg j = 1.69 mL, answer 50 mL j mL Dimensional analysis ? = volume (mL) The concentration of the medication is expressed in a manner that the volume will be in the numerator because the units of the required answer are of volume (mL) 0.6 mg ; 31 lb ; 50 mL
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3 1 kg 0.25 g 0.6 mg x 31 lb x 50 mL x 1 g x 1 kg = 1.69 mL, answer 1 kg 0.25 g 1,000 mg 2.2 lb 4. A 26-pound child is to receive ampicillin at 50 mg/kg/day in four equally divided doses. The ampicillin is available in a concentration of 125 mg/5 mL. How many mL are needed for one dose? [Please present units as mL and not ml] [Round to the nearest tenth] Answer Conversion of pounds to kilograms 1 kg = W kg W = 11.82 kg 2.2 lb 26 lb Daily amount of drug is 50 mg/kg/day x 11.82 kg = 590.9 mg/day There are 4 equal doses in a day, so a dose in milligrams is 590.9 / 4 = 147.72 mg Let’s find the volume of a dose using the concentration 125 mg = 147.72 j = 5.9 mL, answer 5 mL j mL Dimensional analysis ? = volume (mL) The concentration of the drug is expressed so that the volume (mL) will be in the numerator so that we will have a solution in units of volume (mL) 26 lb ; 50 mg ; 1 day ; 5 mL ; 1 dose kg x day 4 doses 125 mg 26 lb x 50 mg x 1 day x 5 mL x 1 dose x 1 kg = 5.9 mL, answer kg x day 4 doses 125 mg 2.2 lb
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