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Solutions Part II. DHS Chemistry Chapter 15. I. Concentrations of Solutions. The concentration of a solution is a measure of the amount of solute that is dissolved in a given quantity of solvent. Amount of solute vs. amount of water. Dilute vs Concentrated.
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Solutions Part II DHS Chemistry Chapter 15
I. Concentrations of Solutions • The concentration of a solution is a measure of the amount of solute that is dissolved in a given quantity of solvent. Amount of solute vs. amount of water
Dilute vs Concentrated Little solute a lot of solute
Concentrated solutions • A concentrated solution is one that contains a high concentration of solute.
Dilute solutions • A dilute solution contains a small concentration of solute.
There are several ways to express concentration. These include: percent solutions (by volume or mass), molarity, or molality.
Percent Solutions • % solute = amount of solute _ • 100 TOTAL amount of solvent • solution • 3 types: • (%m/m) same units • (%v/v) same units • (%m/v) needs to be g/mL
How much vinegar is just acetic acid? 5% of vinegar is acetic acid
Percent by Volume % by volume (% (v/v)) = volume of solute 100 Volume of solution units must be the same (solute + solvent) Tip: watch out for the wording. You may need to add the volume of the solute and solvent to get the volume of the total solution
Percent by Mass % by mass (% (m/m)) = mass of solute 100 mass of solution *units must be the same (solute + solvent) Tip: watch out for the wording. You may need to add the mass of the solute and solvent to get the volume of the total solution
Percent Mass by Volume % mass by volume (% (m/v) = mass of solute (g) 100 volume of solution (mL) *units must g/mL
Ex 1: 20 mL of alcohol is diluted with water to a total volume of 65 mL. What is the percentage of alcohol, by volume? %(v/v) =Volume of solute 100 Volume of solution %(v/v)= ? % = 20 mL alcohol 30.8% Alcohol by volume 100 65 mL H2O
65 mL alcohol + water 20 mLalcohol 30.8% of this solution is alcohol. The rest is water.
Ex 2 : A solution containing 7 g of NaCl in 165 g of solution. What is the percent of NaCl by mass? 158 g of solvent (water) ? %NaCl (m/m)= 4.24% 7 g NaCl 100 165 g solution Solution = Solute + solvent Solution = 7 g + 158 g
Children’s Dose vs Adult Dose Diphenhydramine hydrochloride (active ingredient in allergy medicine like Benadryl)
How do you feed a child medicine when one tablet is too strong?
Liquid dose for children has been diluted to 12.5 mg for every 5 mL of medicine
What percent by mass of diphenhydramine hydrochloride is in the solution? Liquid dose for children has been diluted to 12.5mg for every 5mL of medicine .0125 g = .250% (m/v) 5 mL 100
EX 3: A saline solution containing 3.5 g of NaCl in 62.5 mL of solution. What is the percent of NaCl, by mass. ? % = 3.5 g NaCl 5.60% 100 62.5 mL solution
EX 3: A saline solution containing 3.5 g of NaCl in 62.5 mL of solution. What is the percent of NaCl, by mass. ? % = 3.5 g NaCl 5.60% 100 62.5 mL solution
Ex 4: What volume of ethanol is needed to produce 120 mL of a 22.3% (v/v) ethanol solution? %(v/v)= 26.8 mL 22.3 % = ethanol by volume (v/v) ? mL ethanol 100 120 mL solution
Ex 5: What volume of a 2.8% (m/v) glucose solution would you need to deliver to a patient who needs 750 mg of glucose? 2.8 % = 0.750 g glucose glucose by volume (m/v) 100 ? mL glucose solution 26.8 mL
Practice • If 10 mL of pure acetone is diluted with water to a total solution volume of 200 mL, what is the percent by volume of acetone in the solution? 2. A bottle of hydrogen peroxide is labeled 3.0% (v/v). How many mL of H2O2 are in a 400.0 mL bottle of this solution? 3. Calculate the grams of solute required to make 250 g of 0.10% MgSO4 (m/m). 4. A solution contains 2.7 g CuSO4 in 75 mL of solution. What is the percent (m/v) of the solution?
If 10 mL of pure acetone is diluted with water to a total solution volume of 200 mL, what is the percent by volume of acetone in the solution? %(v/v)= ? % = 10 mL acetone 5.00 % acetone by volume (v/v) 100 200 mL solution
2. A bottle of hydrogen peroxide is labeled 3.0% (v/v). How many mL of H2O2 are in a 400.0 mL bottle of this solution? %(v/v)= 3.00 % = ? mL H2O2 12.0 mL H2O2 by volume (v/v) 100 400. mL solution
3. Calculate the grams of solute required to make 250 g of 0.10% MgSO4 (m/m). %(m/m)= 0.10 % = ? g MgSO4 0.250 g MgSO4 by volume (v/v) 100 250 g solution
4. A solution contains 2.7 g CuSO4 in 75 mL of solution. What is the percent (m/v) of the solution? %(m/v)= ? % = 2.7 g CuSO4 3.60 % CuSO4 by volume (m/v) 100 75 mL solution
Practice • If 10 mL of pure acetone is diluted with water to a total solution volume of 200 mL, what is the percent by volume of acetone in the solution? 2. A bottle of hydrogen peroxide is labeled 3.0% (v/v). How many mL of H2O2 are in a 400.0 mL bottle of this solution? 3. Calculate the grams of solute required to make 250 g of 0.10% MgSO4 (m/m). 4. A solution contains 2.7 g CuSO4 in 75 mL of solution. What is the percent (m/v) of the solution? 5.00% acetone (v/v) 12.0mL H2O2 0.250g MgSO4 3.60% (m/v)
Molarity • Molarity (M) is the number of moles of a solute dissolved per liter of solution.
Molarity • Molarity is also known as molar concentration and is read as “ __#__ molar” (Ex. a 2M HCl solution is read as two molar HCl” • Note that the volume involved is the total volume of solution, not just the solvent.
Molarity Molarity (M) = moles of soluteM = mol Liters of solution 1 L *if given grams, convert if to moles using the molar mass of the substance
Why are grams important? • You can not directly measure moles, you must calculate the mass in grams first Moles Grams Molar mass ___g = 1 mole
How to Prepare a Solution To make 1.00 liter of a 1.00 molar (1.0 M) solution: 1) add 1.0 mol of solute to a volumetricflask 2) add about ¼ flask of distilled water. Swirl the flask till the solute is dissolved. 3) slowly add water until the final volume reads 1.00 L
Molarity EX 1. What is the molarity of a solution that contains 8 moles of CaCl2 in 50 mL of solution? mol 8 mol M = 160M CaCl2 L 1 0.05 L
Molarity EX 2. How many grams of NaCl are needed to make 500mL of a 0.2 M solution? .2 M ? mol .1 mol M = L 1 0.5 L 0.1 mol NaCl 58.443 g NaCl =5.84 mol NaCl 1 mol NaCl
Using Molarity Ex 3: A saline solution contains 0.90 g NaCl in exactly 100 mL of solution. What is the molarity of the solution? Step 1: Calculate # moles 0.90g NaCl x =0.0154 mol NaCl 1 mol NaCl 58.443 g NaCl Step 2: mL L 100 mL x 1 L = 0.100 L NaCl 1000 mL
Ex 3 continued Step 3: Calculate Molarity 0.154 M ? M 0.0154 mol M = L 1 0.1 L
Ex 2: How many grams of solute are present in 562 mL of 0.24 M Na2SO4? M = mol mol = M L • L mol = 0.24M Na2SO4 x .562L = 0.135mol
Convert from Moles to Grams 0.135mol Na2SO4 | 142g Na2SO4= | 1 mol Na2SO4 = 19.2g Na2SO4
Practice • A solution has a volume of 2.0 L and contains 36.0 g of glucose. If the molar mass of glucose is 180 g/mol, what is the molarity of the solution? 0.100M glucose 2. How many moles of ammonium nitrate are in 335 mL of 0.425 M NH4NO3? 0.142mol NH4NO3 3. How many grams of solute are in 250 mL of 2.0 M CaCl2 solution? 55.5gCaCl2 4. Describe how you would prepare 250 mL of a 0.2 M NaOH solution. Need 2.00g NaOH in 250mL of solution
1. A solution has a volume of 2.0 L and contains 36.0 g of glucose. If the molar mass of glucose is 180 g/mol, what is the molarity of the solution? Molarity = mol L Glucose = C6H12O6 • Molar mass = 6(12.01g) + 12(1.008g) + 6(15.999g) = Calculate moles: 36.0g C6H12O6 | 1 mol C6H12O6 = mol C6H12O6 | XXX g C6H12O6 Calculate Molarity: XXXmol C6H12O6 = 0.100M glucose 2.0 L