Final answer:
To determine how many mL of oxytocin the patient will need, we can use the formula C1V1 = C2V2, where C1 is the concentration of the oxytocin solution, V1 is the volume, C2 is the desired concentration, and V2 is the desired volume. In this case, the patient will need 300 mL of oxytocin.
Step-by-step explanation:
To determine how many mL of oxytocin the patient will need, we can use the formula C1V1 = C2V2, where C1 is the concentration of the oxytocin solution, V1 is the volume, C2 is the desired concentration, and V2 is the desired volume.
In this case, C1 = 10 units/mL, V1 = ? mL, C2 = 30 units/1000 mL, and V2 = 1000 mL.
Substituting the given values into the formula, we have 10 units/mL * V1 = 30 units/1000 mL * 1000 mL.
Simplifying the equation, we get V1 = 300 mL.
Therefore, the patient will need 300 mL of oxytocin.