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A patient weighing 60 kg is prescribed intravenous dopamine 4 micrograms/kg/minute. Calculate the infusion rate in mL/hour. (Stock = dopamine 200 mg in 50 mL glucose 5%).

Mathematics

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Answer

B

Step-by-step solution

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4. A patient weighing 60 kg is prescribed intravenous dopamine 4 micrograms/kg/minute. Calculate the infusion rate in mL/hour. (Stock = dopamine 200 mg in 50 mL glucose 5%).

  1. Calculate the total dopamine dose per minute for the patient.

    Dose per minute=4μgkg⋅min×60 kg=240μgmin\text{Dose per minute} = 4 \frac{\mu\text{g}}{\text{kg} \cdot \text{min}} \times 60\text{ kg} = 240 \frac{\mu\text{g}}{\text{min}}
  2. Convert the dose from micrograms per minute to milligrams per hour.

    Dose per hour=240μgmin×1 mg1000 μg×60 min1 hr\text{Dose per hour} = 240 \frac{\mu\text{g}}{\text{min}} \times \frac{1\text{ mg}}{1000\text{ }\mu\text{g}} \times \frac{60\text{ min}}{1\text{ hr}} Dose per hour=240×601000mghr=144001000mghr=14.4mghr\text{Dose per hour} = \frac{240 \times 60}{1000} \frac{\text{mg}}{\text{hr}} = \frac{14400}{1000} \frac{\text{mg}}{\text{hr}} = 14.4 \frac{\text{mg}}{\text{hr}}
  3. Determine the concentration of the stock solution.

    Concentration=200 mg50 mL=4mgmL\text{Concentration} = \frac{200\text{ mg}}{50\text{ mL}} = 4 \frac{\text{mg}}{\text{mL}}
  4. Calculate the infusion rate in mL/hour.

    Infusion rate=Dose per hourConcentration=14.4mghr4mgmL\text{Infusion rate} = \frac{\text{Dose per hour}}{\text{Concentration}} = \frac{14.4 \frac{\text{mg}}{\text{hr}}}{4 \frac{\text{mg}}{\text{mL}}} Infusion rate=3.6mLhr\text{Infusion rate} = 3.6 \frac{\text{mL}}{\text{hr}}

    The correct option is B.
    The infusion rate is 3.6 mL/hour\boxed{\textbf{3.6 mL/hour}}.

    5. The procedure which is used to prove that the various production procedures, equipment and materials will produce accurate results is known as:

    The correct option is D.

    • Validation is the documented act of proving that any procedure, process, equipment, material, activity, or system actually leads to the expected results. This directly matches the description of proving that production procedures, equipment, and materials will produce accurate results.

    The correct answer is D. Validation\boxed{\textbf{D. Validation}}.

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