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Question 9.10: A topical antibiotic is 1.0% (m/v) clindamycin. How many gra...

A topical antibiotic is 1.0% (m/v) clindamycin. How many grams of clindamycin are in 60. mL of the 1.0% (m/v) clindamycin solution?

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STEP 1   State the given and needed quantities.

ANALYZE THE PROBLEM Given Need Connect
60. ml of 1 .0% (m/v) clindamycin solution grams of clindamycin % (m/v) factor

STEP 2  Write a plan to calculate the mass.

milliliters  of  solution      \boxed{ (m/v)  factor} →      grams  of  clindamycin

STEP 3 Write e qualities and conversion factors.The percent (m/v) indicates the grams of a solute in every 100. mL of a solution. The 1.0% (m/v) can be written as two conversion factors.

\begin{array}{r c}\boxed{\begin{matrix} 1.0  g  of  clindamycin = 100.  mL  of  solution \\\frac{ 1.0  g  clindamycin}{100.  mL  solution } \text{ and } \frac{100.  mL  solution }{ 1.0  g  clindamycin} \end{matrix}} \end{array}

STEP 4   Set up the problem to calculate the mass. The volume of the solution is converted to mass of solute using the conversion factor that cancels mL.

\underset{Two  SFs }{64.   \cancel{mL  solution}}     \times    \overset{Two  SFs}{\underset{Exact }{\boxed{\frac{1.0  g  clindamycin}{100.  \cancel{mL  solution}} }}}= \underset{Two  Sfs }{0.60  g  of  clindamycin}

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