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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Accepted Answer

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.

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

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.

[latex] \begin{array}{r c}\boxed{\begin{matrix} 1.0 g of clindamycin = 100. mL of solution \\frac{ 1.0 g clindamycin}{100. mL solution } ext{ and } \frac{100. mL solution }{ 1.0 g clindamycin} \end{matrix}} \end{array} [/latex]

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.

[latex] \underset{Two SFs }{64. \cancel{mL solution}} imes \overset{Two SFs}{\underset{Exact }{\boxed{\frac{1.0 g clindamycin}{100. \cancel{mL solution}} }}}= \underset{Two Sfs }{0.60 g of clindamycin}[/latex]

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

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