Q. 2.111 - An Introduction to General, Organic, and Biological Chemistry

Question

To treat a bacterial infection, a doctor orders $4$tablets of amoxicillin per day for $10$ days. If each tablet contains $250$ mg of amoxicillin, how many ounces of the medication are given in $10$ days? (2.6)

Step-by-Step Solution

Answer

The number of ounces of the medication provided is determined as $0.35 oz$

Step 1 : Given Information

The given is the order placed of amoxicillin by a doctor for $10$ days  .

The objective is to determine how many ounces are provided for $10$ days.

There is 250 mg present in each tablet. 

Step 2 : Explanation

Given each tablet contain $=250 mg$ ;  tab/day

Need ounce

Step 2 Plan Total no of tablets in $10$ day $=10\times 4=40$ tablets

mg Matric factor g metric -US factor lb US oz

Step 3: Conversion Factors

$1000 mg= 1g$

$\frac{1000mg}{1g}$ and $\frac{1g}{1000mg}$

$454g = 1lb$

$\frac{454g}{1lb}$ and $\frac{1lb}{454g}$

$1lb=16oz$

$\frac{1lb}{16oz}$ and $\frac{16oz}{1lb}$

Step 4: Set up problem

$250\mathrm{mg}\times \frac{1\mathrm{g}}{1000\mathrm{mg}}\times \frac{1lb}{454\mathrm{g}}\times \frac{1600\mathrm{oz}}{1lb}=\frac{4000}{454000}oz0.008810572\mathrm{oz}$ for

$=40\times 0.008810572 oz$

Thus, for $40$ tablet $=0.35242288 oz$

=$0.35 oz$ (rounded)