The healthcare provider prescribes filgrastim 5 mcg/kg/day subcutaneously for a client who weighs 132 pounds and has just completed chemotherapy. The medication is available in 480 mcg/0.8 mL. How many mL should the nurse administer? (Enter numerical value only. If rounding is required, round to the nearest tenth.)
To determine how many milliliters (mL) of filgrastim to administer, follow these steps:
- Convert the client’s weight from pounds to kilograms:
- Weight in pounds: 132 lb
- Conversion factor: 1 lb = 0.4536 kg
- Weight in kg: 132 lb×0.4536 kg/lb=59.87 kg132 \text{ lb} \times 0.4536 \text{ kg/lb} = 59.87 \text{ kg}132 lb×0.4536 kg/lb=59.87 kg (round to 59.9 kg for precision)
- Calculate the total dose required in micrograms (mcg):
- Dose: 5 mcg/kg/day
- Total dose: 5 mcg/kg×59.9 kg=299.5 mcg5 \text{ mcg/kg} \times 59.9 \text{ kg} = 299.5 \text{ mcg}5 mcg/kg×59.9 kg=299.5 mcg (round to 299.5 mcg)
- Determine the volume of medication needed:
- Medication concentration: 480 mcg/0.8 mL
- Set up the ratio to find the volume for 299.5 mcg: 480 mcg0.8 mL=299.5 mcgx mL\frac{480 \text{ mcg}}{0.8 \text{ mL}} = \frac{299.5 \text{ mcg}}{x \text{ mL}}0.8 mL480 mcg=x mL299.5 mcg
- Solve for xxx: x=299.5 mcg×0.8 mL480 mcg=239.6480=0.499 mL≈0.5 mLx = \frac{299.5 \text{ mcg} \times 0.8 \text{ mL}}{480 \text{ mcg}} = \frac{239.6}{480} = 0.499 \text{ mL} \approx 0.5 \text{ mL}x=480 mcg299.5 mcg×0.8 mL=480239.6=0.499 mL≈0.5 mL
Answer: 0.5 mL