I'll solve each problem step by step, showing my calculations carefully.
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Dosage Calculation Problems
Problem 1: Morphine
- Order: 0.5 mg IV
- Vial concentration: 2 mg/mL
- Formula: Volume = Dose ÷ Concentration
- Calculation: 0.5 mg ÷ 2 mg/mL = 0.25 mL
Problem 2: Versed
- Order: 4 mg IV
- Vial concentration: 1 mg/mL
- Formula: Volume = Dose ÷ Concentration
- Calculation: 4 mg ÷ 1 mg/mL = 4 mL
Problem 3: Heparin
- Order: 100 units subq
- Vial concentration: 50 units/mL
- Formula: Volume = Dose ÷ Concentration
- Calculation: 100 units ÷ 50 units/mL = 2 mL
Problem 4: Benadryl
- Order: 25 mg IV
- Vial concentration: 1000 mcg/mL
- First, convert units: 1000 mcg = 1 mg (since 1 mg = 1000 mcg)
- So the vial is 1 mg/mL
- Formula: Volume = Dose ÷ Concentration
- Calculation: 25 mg ÷ 1 mg/mL = 25 mL
Problem 5: Digoxin
- Order: 0.125 mg IV stat
- Vial concentration: 500 mcg/2mL
- First, convert units: 0.125 mg = 125 mcg (since 1 mg = 1000 mcg)
- Find concentration per mL: 500 mcg ÷ 2 mL = 250 mcg/mL
- Formula: Volume = Dose ÷ Concentration
- Calculation: 125 mcg ÷ 250 mcg/mL = 0.5 mL
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Hourly Rate Problems
Problem 1: NS infusion
- Order: 300 mL over 6 hours
- Formula: Hourly Rate = Total Volume ÷ Hours
- Calculation: 300 mL ÷ 6 hours = 50 mL/hour
Problem 2: D5W1/2 NS infusion
- Order: 2 L over 48 hours
- Convert to mL: 2 L = 2000 mL (since 1 L = 1000 mL)
- Formula: Hourly Rate = Total Volume Hours
- Calculation: 2000 mL ÷ 48 hours = 41.67 mL/hour (or approximately 42 mL/hour)
Problem 3: NS infusion
- Order: 0.8 L over 45 minutes
- Convert to mL: 0.8 L = 800 mL
- Convert time to hours: 45 minutes = 0.75 hours (45 ÷ 60)
- Formula: Hourly Rate = Total Volume ÷ Hours
- Calculation: 800 mL ÷ 0.75 hours = 1066.67 mL/hour (or approximately 1067 mL/hour)
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Final Answer:
Dosage Calculations:
1. Morphine: 0.25 mL
2. Versed: 4 mL
3. Heparin: 2 mL
4. Benadryl: 25 mL
5. Digoxin: 0.5 mL
Hourly Rates:
1. 50 mL/hour
2. 41.67 mL/hour (or 42 mL/hour rounded)
3. 1066.67 mL/hour (or 1067 mL/hour rounded)
Parent Tip: Review the logic above to help your child master the concept of medicine math worksheet.
