You are to give Amoxil 450 mg PO. You have a vial of Amoxil 100 mg/2 ml. How much should you give? Show all work using dimensional analysis
To calculate how much of the vial of Amoxil should be given to administer a dose of 450 mg, we need to convert the units of the vial concentration to match the desired dose.
Step 1: Convert mg to ml
Since the concentration of the vial is given as 100 mg/2 ml, the unit conversion factor is 1 ml = 100 mg.
To find out how many ml is equal to 450 mg, we can set up a proportion: (1 ml / 100 mg) = (x ml / 450 mg)
Solving for x, we get: x = (450 mg * 1 ml) / 100 mg = 4.5 ml
Step 2: Determine the amount to be given
Since we now know that 4.5 ml is equivalent to 450 mg, we should give 4.5 ml of the vial of Amoxil to administer a dose of 450 mg.
Therefore, you should give 4.5 ml of the vial of Amoxil.
To determine how much Amoxil you should give, we can use dimensional analysis.
We know the following information:
- The concentration of the Amoxil vial is 100 mg/2 ml.
- The prescribed dose is 450 mg.
First, we need to determine the volume of the medication that contains the 450 mg dose.
We can set up a proportion with the known ratios:
100 mg / 2 ml = 450 mg / x ml
To find x, we can cross-multiply and then divide:
100 mg * x ml = 450 mg * 2 ml
x ml = (450 mg * 2 ml) / 100 mg
x ml = 900 mg ml / 100 mg
x ml = 9 ml
So, you will need to give 9 ml of the Amoxil solution.