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Dopamine Concentration

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Dopamine Concentration


1. **State the problem:** We need to find the percent concentration of dopamine HCl in an intravenous infusion after diluting one vial of dopamine HCl injection into 250 mL of 5% dextrose injection. 2. **Given data:** - Volume of one vial = 5 mL - Concentration in vial = 40 mg/mL - Volume of diluent (5% dextrose) = 250 mL 3. **Calculate the total amount of dopamine HCl in one vial:** $$\text{Total dopamine HCl} = 40 \text{ mg/mL} \times 5 \text{ mL} = 200 \text{ mg}$$ 4. **Calculate the total volume after dilution:** $$\text{Total volume} = 5 \text{ mL} + 250 \text{ mL} = 255 \text{ mL}$$ 5. **Calculate the concentration in mg/mL after dilution:** $$\text{Concentration} = \frac{200 \text{ mg}}{255 \text{ mL}} \approx 0.7843 \text{ mg/mL}$$ 6. **Convert mg/mL to percent concentration:** Percent concentration means grams per 100 mL. First convert mg/mL to g/mL: $$0.7843 \text{ mg/mL} = 0.0007843 \text{ g/mL}$$ Then convert to grams per 100 mL: $$0.0007843 \text{ g/mL} \times 100 = 0.07843 \%$$ 7. **Final answer:** The percent concentration of dopamine HCl in the infusion is approximately $$0.0784 \%$$ This means the infusion contains about 0.0784 grams of dopamine HCl per 100 mL of solution.