Question

amoxil is an antibiotic used to treat infections of the ear, nose, and throat. it is sold as a suspension in water.
part 1 of 2
what is the \\( \frac { \text { weight } } { \text { volume } } \\) percent composition in a suspension of amoxil that contains 45. \\( \frac { \mathrm { mg } } { \mathrm { ml } } \\) ? be sure your answer has the correct number of significant figures.
\\( \frac { \text { weight } } { \text { volume } } : \square \\% \\)
part 2 of 2
if the typical pediatric dose is 31. \\( \frac { \mathrm { mg } } { \mathrm { kg } } \\) per day, what volume of drug is given for a 15. kg child? be sure your answer has the correct number of significant figures.
volume: \\( \square \mathrm { ml } \\)

Explanation:

Part 1 of 2:

Step1: Convert milligrams to grams

Since \(1\space g = 1000\space mg\), then \(45\space mg=\frac{45}{1000}\space g = 0.045\space g\)

Step2: Calculate weight - volume percent

The weight - volume percent formula is \(\text{weight/volume}\%=\frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}}\times100\). Substituting the values (\(\text{mass}=0.045\space g\), \(\text{volume} = 1\space mL\)), we get \(\text{weight/volume}\%=\frac{0.045\space g}{1\space mL}\times100 = 4.5\%\)

Part 2 of 2:

Step1: Calculate the total milligrams of Amoxil per day for the child

The dose is \(31\space\frac{mg}{kg}\) per day and the child's weight is \(15\space kg\). Using the formula \(m = \text{dose}\times\text{weight}\), we have \(m=31\space\frac{mg}{kg}\times15\space kg = 465\space mg\)

Step2: Calculate the volume of the drug

We know that the concentration is \(45\space\frac{mg}{mL}\). Using the formula \(V=\frac{m}{C}\) (where \(m\) is the mass of the drug and \(C\) is the concentration), \(V=\frac{465\space mg}{45\space\frac{mg}{mL}}\approx10.33\space mL\). Rounding to two significant figures (because \(31\) has two significant figures), \(V = 10\space mL\)

Answer:

Part 1 of 2: \(4.5\%\)
Part 2 of 2: \(10\space mL\)