Question

If you are administering an oral acetaminophen dose of 480. mg from a bottle at a concentration of 32.0 mg/mL , how many milliliters of the solution do you need to give the patient?

could you show the steps on how you solved it.

Answer 1

The formula is:

`c = (m)/(v)`
Where c is the concentration, m is the mass and v is the volume.

C=32.0mg/ml, M= 240.0mg

Your going to transpose to find v from the formula:


`c = (m)/(v)`

Multiply by v you'll get


`c * v = (m)/(v) * v \\ cv = m`

Divide by c you'll get


`cv = m \\ (cv)/(c) = (m)/(c) \\ v = (m)/(c)`

Plug in the values of m and c


`v \: = (m)/(c) \\ v = \frac{240.0 \: mg}{32 \: mg {ml}^( - 1) }`

V =7.5 mL