Final answer:
To calculate the volume of dopamine needed for the patient, use the formula C₁V₁ = C₂V₂. Plugging in the given values, the volume needed is 445.43 mL.
Step-by-step explanation:
To calculate the volume of dopamine needed for the patient, we can use the formula C₁V₁ = C₂V₂. In this case, C₁ represents the concentration of the dopamine solution, V₁ represents the volume of dopamine solution needed, C₂ represents the concentration of the solution to be prepared, and V₂ represents the volume of the solution to be prepared.
Given that C₁ = 10.5 mg in 430 mL of D 5 W and C₂ = 13,468 mcg/hr, we can rearrange the formula to solve for V₁: V₁ = (C₂V₂) / C₁.
Plugging in the values, we have V₁ = (13,468 mcg/hr * 250 mL) / (10.5 mg in 430 mL) = 445.43 mL.