Question 9.7: The topical antibiotic ointment Neosporin is 3.5% (m/m) neom...

The topical antibiotic ointment Neosporin is 3.5% (m/m) neomycin solution. How many grams of neomycin are in a tube containing 64 g of ointment?

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STEP 1   State the given and needed quantities.

ANALYZE THE PROBLEM Given Need Connect
64 g of 3.5% (m/m) neomycin solution grams of neomycin mass percent factor

\frac{g  of  solute }{100.  g  of  solution}

STEP 2  Write a plan to calculate the mass.

grams  of  ointment      \boxed{ (m/m) factor} →      grams  of  neomycin

STEP 3 Write equalities and conversion factors. The mass percent (m/m) indicates the grams of a solute in every 100. g of a solution. The mass percent (3.5% m/m) can be written as two conversion factors.

\begin{array}{r c}\boxed{\begin{matrix} 3.5  g  of  neomycin = 100.  g  of  ointment \\\frac{ 3.5  g  neomycin}{100.  g  ointment} \text{ and } \frac{100.  g  ointment}{ 3.5  g  neomycin} \end{matrix}} \end{array}

STEP 4   Set up the problem to calculate the mass.

\underset{Two  SFs }{64   \cancel{g  ointment}}     \times    \overset{Two  SFs}{\underset{Exact }{\boxed{\frac{3.5  g  neomycin}{100.  \cancel{g  ointment}} }}}= \underset{Two  Sfs }{2.2  g  of  neomycin}

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