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Molarity is a key unit of concentration for chemists, defined as moles of solute per liter of solution. To calculate molarity, consider the total volume of the solution, which includes both solute and solvent. For example, a saline solution with 0.90 g of NaCl in 100 mL corresponds to a molarity of 0.15 M. This guide covers problem-solving techniques in molarity, including conversions between grams and moles, and the preparation of solutions, like making a 0.25 M copper(II) chloride solution.
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Molarity • Unit of Concentration • There are many units of concentration • Molarity is most useful to the chemist M = moles of solute Liters of solution Liters of solution means the total volume of water and solute. If I want a liter of solution I will not use a liter of water.
Molarity ProblemsYou work them. • A saline solution contains 0.90 g NaCl in exactly 100 ml of solution. What is the molarity of the solution? • Convert g to moles • 0.90g NaCl 1 mol NaCl 58.5 g NaCl = 0.015 mol NaCl Take 0.015 moles/ .100 L • Answer - 0.15 mol/L or 0.15 M NaCl
Molarity ProblemsYou work them. • How many moles of solute are present 1.5 L of 0.24 M Na2SO4? • 0.24 M = x mol solve for x • 1.5 L • Answer - 0.36 mol of Na2SO4 • What if I asked you to find how many grams of solute are present in the previous problem. • Convert your moles to grams.
Preparing a solution • How would you make 500.0 ml a 0.25 M solution of copper (II) chloride? • 0.25 M = mol/0.5000 L - change ml to liters and solve for moles. • You need 0.13 moles of CuCl2. Converting to grams equals 17 grams. • Final answer • Take 17 grams of CuCl2 and dissolve in enough water to make 500.0 ml of solution. • Dissolve the 17 grams in say 400 ml of water. Once the CuCl2 is dissolved add water up to 500.0 ml.
Preparing a solutionyour turn • How would you prepare a solution of 0.40 M KCl? If a volume is not given assume 1 L. • 0.40 M = mol/ 1 L mol = 0.40 mol needed • 0.40 mol 74.6 g KCl = 3.0x101 grams KCl 1 mol KCl Take 3.0x101 grams of KCl and dissolve in enough water to make a liter of solution.