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Chapter 12 Solutions. 12.4 Percent Concentration. Percent Concentration. The concentration of a solution is the amount of solute dissolved in a specific amount of solution amount of solute amount of solution
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Chapter 12 Solutions 12.4 Percent Concentration
Percent Concentration The concentration of a solution • is the amount of solute dissolved in a specific amount of solution amount of solute amount of solution • as percent concentration describes the amount of solute that is dissolved in 100 parts of solution amount of solute 100 parts solution
Mass Percent The mass percent (m/m) • concentration is the percent by mass of solute in a solution Mass percent (m/m) = mass of solute x 100% mass of solute + mass of solvent • is the g of solute in exactly100 g of solution Mass percent = g of solute x 100% 100. g of solution
Calculating Mass Percent Mass percent (%m/m) is calculated from the grams of solute (g KCl) and the grams of solution (g KCl solution). g of KCl = 8.00 g g of solvent (water) = 42.00 g g of KCl solution = 50.00 g 8.00 g KCl (solute) x 100 = 16.0% (m/m) 50.00 g KCl solution
Learning Check A solution is prepared by mixing 15.0 g of Na2CO3 and 235 g of H2O. Calculate the mass percent (m/m) of the solution. A. 15.0% (m/m) Na2CO3 B. 6.38% (m/m) Na2CO3 C. 6.00% (m/m) Na2CO3
Solution STEP 1 Determine quantities of solute and solution. Mass of solute = 15.0 g of Na2CO3 Mass of water = 235 g of water Mass of solution = 250. g of Na2CO3 solution STEP 2 Write the % concentration expression. Mass percent (m/m) = grams of Na2CO3 x 100% grams of Na2CO3 solution
Solution (continued) STEP 3Substitute solute and solution quantities into the expression Mass percent (m/m) = 15.0 g Na2CO3 x 100% 250. g Na2CO3 solution = 6.00% (m/m) Na2CO3 solution (C)
Volume Percent The volume percent (v/v)is • percent volume (mL) of solute (liquid) to volume (mL) of solution Volume percent(v/v) = mL of solute x 100% mL of solution • solute (mL) in 100 mL of solution Volume percent (v/v) = mL of solute x 100% 100 mL of solution
Volume Percent A volume percent (v/v)solution is prepared by • using a specific volume (mL) of solute (liquid) • adding water to the volume line
Percent Conversion Factors • Two conversion factors can be written for each type of percent value.
Learning Check Write two conversion factors for each solution. A. 8.50% (m/m) NaOH B. 5.75% (v/v) ethanol
Solution A. 8.50% (m/m) NaOH solution 100 g of NaOH solution = 8.50 g of NaOH 8.50 g NaOH and 100 g NaOH solution 100 g NaOH solution 8.50 g NaOH B. 5.75% (v/v) ethanol solution 100 mL of ethanol solution = 5.75 mL of ethanol 5.75 mL ethanol and 100 mL solution 100 mL solution 5.75 mL ethanol
Example of Using Percent Factors How many grams of NaCl are needed to prepare 225 g of a 10.0% (m/m) NaCl solution? STEP 1 State the given and needed quantities.Given 225 g of NaCl solution; 10.0% (m/m) NaCl solution Need grams of NaCl STEP 2Write a plan to calculate mass or volume. grams of NaCl solution grams of NaCl
Example of Using Percent Factors (continued) STEP 3 Write equalities and conversion factors. 100 g of NaCl solution = 10.0 g of NaCl 10.0 g NaCl and 100 g NaCl solution 100 g NaCl solution 10.0 g NaCl STEP 4Set up problem to calculate mass or volume. 225 g NaCl solution x 10.0 g NaCl = 22.5 g of NaCl 100 g NaCl solution
Learning Check How many grams of NaOH are needed to prepare 75.0 g of a 14.0% (m/m) NaOH solution? A. 10.5 g of NaOH B. 75.0 g of NaOH C. 536 g of NaOH
Solution STEP 1 State the given and needed quantities. Given 75.0 g of NaOH of a 14.0% (m/m) solution Need grams of NaOH STEP 2Write a plan to calculate mass or volume. grams of NaOH solution grams of NaOH
Solution (continued) STEP 3 Write equalities and conversion factors. 100 g of NaOH solution = 14.0 g of NaOH 14.0 g NaOH and 100 g solution 100 g solution 14.0 g NaOH STEP 4Set up problem to calculate mass or volume. 75.0 g solution x 14.0 g NaOH = 10.5 g of NaOH (A) 100 g solution 14.0 % (m/m) factor
Learning Check How many milliliters of a 5.75% (v/v) ethanol solution can be prepared from 2.25 mL of ethanol? A. 2.56 mL B. 12.9 mL C. 39.1 mL
Solution STEP 1 State the given and needed quantities. Given 2.25 ml of ethanol 5.75% (v/v) ethanol solution Need milliliters of ethanol solution STEP 2Write a plan to calculate mass or volume. mL of ethanol mL of ethanol solution
Solution (continued) STEP 3 Write equalities and conversion factors. 100 mL of ethanol solution = 5.75 mL of ethanol 5.75 mL ethanol and 100 mL solution 100 mL solution 14.0 mL ethanol STEP 4Set up problem to calculate mass or volume. 5.75% (v/v) inverted 2.25 mL ethanol x 100 mL ethanol solution 5.75 mL ethanol = 39.1 mL of solution (C)