Final answer:
To calculate the volume needed from the vial of dipyridamole, first convert the patient's weight to kilograms, calculate the total dose in milligrams, and then use a proportion to find the volume. The patient would need approximately 10.4 ml of dipyridamole.
Step-by-step explanation:
To calculate the volume of dipyridamole needed for a patient weighing 205 pounds at a dose of 0.56 mg/kg, first, convert the patient's weight to kilograms by dividing by 2.2 (1 kg = 2.2 lbs):
205 lbs ÷ 2.2 = 93.18 kg (approximately).
Next, calculate the total dose required in milligrams (mg):
0.56 mg/kg × 93.18 kg = 52.18 mg.
Now, determine how much volume is required from the vial that contains 250 mg in 50 ml:
Since 250 mg is to 50 ml as 52.18 mg is to X ml, you can set up a proportion:
(250 mg / 50 ml) = (52.18 mg / X ml).
Solve for X:
X = (52.18 mg × 50 ml) / 250 mg = 10.436 ml.
Therefore, the volume needed from the vial is approximately 10.436 ml, which when rounded to one decimal place is 10.4 ml.