A doctor orders 4.0 mL of phenobarbital the phenobarbital is available as 30 mg per 7.5 mL, how many milligrams is given to the patient? Express your answer to two and include the appropriate units

1 answer

First, we need to determine the number of milligrams of phenobarbital per 1 mL of the solution.
We are given that there are 30 mg in 7.5 mL.
Dividing both sides of this equation by 7.5 gives us 30 mg / 7.5 mL = 4 mg/mL.

Now, we can find the number of milligrams of phenobarbital given to the patient by multiplying the number of milligrams per milliliter by the number of milliliters given.
4 mg/mL * 4.0 mL = 16 mg.

Therefore, 16 milligrams of phenobarbital is given to the patient.