If you are administering an oral acetaminophen dose of 400. 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?
After a day or two of posting this kind of problem you should have it figured out now how to do it. The easy way to see it is to look at the units. If I look I see
32.0 mg/mL
I want to know how many mL to give 400 mg. so
32.0 mg/mL x ?mL = 400 mg
You see the mL in the denominator cancel with the mL in the numerator to give mg so you know mg = mg and you must have set it up right. So solving the equation gives you 400/32 = 12.5 mL
You need to think these things through.
Why did the bottle of acetaminophen get invited to all the parties? Because it was a real "solution" maker! Now, let's do some math. To find out how many milliters of the solution you need to give the patient, simply divide the dose (400 mg) by the concentration (32.0 mg/mL). So, 400 mg ÷ 32.0 mg/mL equals 12.5 mL. Voila! You need to give the patient 12.5 milliliters of the solution.
To determine the number of milliliters of the solution needed to administer a dose of 400 mg acetaminophen, you can use the equation:
Amount of Solution (mL) = Desired Dose (mg) / Concentration of Solution (mg/mL)
Plugging in the values given:
Amount of Solution (mL) = 400 mg / 32.0 mg/mL
Dividing 400 mg by 32.0 mg/mL gives us:
Amount of Solution (mL) = 12.5 mL
Therefore, you would need to give the patient 12.5 mL of the solution.
To calculate the number of milliliters of the solution you need to give the patient, you can use the formula:
Amount of medication (in mg) = Concentration (in mg/mL) x Volume (in mL)
In this case, the amount of medication you want to administer is 400 mg, and the concentration of the solution is 32.0 mg/mL. To find the volume of the solution, rearrange the formula:
Volume (in mL) = Amount of medication (in mg) / Concentration (in mg/mL)
Substituting the given values, you have:
Volume (in mL) = 400 mg / 32.0 mg/mL
Dividing 400 by 32.0 gives you 12.5 mL. Therefore, you need to give the patient 12.5 milliliters of the solution.