A doctor needs to administer 2 mL of a solution to a 200 pound patient. However, the doctor has the solution availible only in 20 mg/mL strength. What volume of the 20 mg/mL solution would be needed to administer the desired dose?

You have already stated that a 2 mL volume is required. Are you sure you did not mean 2 mg of the active ingredient?

let's try this again...

A doctor needs to administer 2 mL of a 100 mg/mL solution to a 200 pound patient. However, the doctor has the solution available only in 20 mg/mL strength. What volume of the 20 mg/ml solution would be needed to administer the desired dose ?

A doctor needs to administer 2 mL of a 100 mg/mL solution to a 200 pound patient. However, the doctor has the solution available only in 20 mg/mL strength. What volume of the 20 mg/ml solution would be needed to administer the desired dose ?

To find the volume of the 20 mg/mL solution needed to administer the desired dose, we need to use the formula:

Volume (mL) = Dose (mg) / Concentration (mg/mL)

First, let's convert the weight of the patient from pounds to kilograms:

Weight (kg) = Weight (lb) / 2.2

Weight (kg) = 200 lb / 2.2 = 90.91 kg (rounded to two decimal places)

Next, we need to determine the dose in milligrams (mg):

Dose (mg) = 2 mL * 20 mg/mL

Dose (mg) = 40 mg

Now, we can substitute the values into the formula:

Volume (mL) = 40 mg / 20 mg/mL

Volume (mL) = 2 mL

So, to administer the desired dose of 2 mL to the patient, the doctor would need 2 mL of the 20 mg/mL solution.