Chemistry I-Honors Solution Concentration Problem Set #4 Solution Set 1. If magnesium hydroxide is completely neutralized with 35.0 ml of a 1.25 M solution of hydrochloric acid, how many equivalents were there of this base? (0.0350 liter)(1.25 mol/liter) = 0.0438 mol H+ = 0.0438 mol OH-1 = 0.0438 equivalents OH-1 2. How many milliliters of water must be added to a 3.00 M solution to end up with 2.00 liters of a 0.455 M solution? M1V1 = M2V2 & Vwater = V2 - V1 V1 = (0.455 M)(2000 ml) / 3.00 M = 303 ml , then Vwater = 1697 ml = 1.70 x 103 ml 3. What is the normality of a solution in which 11.2 liters of hydrogen chloride gas (at STP) are dissolved in enough water to make 400.0 ml of solution? (11.2 liters / 22.4 liters/mole) = 0.500 mol / 0.400 liter soln = 1.25 M = 1.25 N 4. If a beaker contains 745 ml of a 0.220 M solution of potassium hydroxide, how many grams of the base had been dissolved? (0.745 liter)(0.220 mol / liter soln)( 56.1 g/mol) = 9.19 g KOH 5. What is the molality of a solution in which 2.50 moles of sucrose are dissolved in 925ml of ethyl alcohol? The density of pure ethyl alcohol is 0.870 g/ml. 925 g x 0.870 g/ml = 805 g = 0.805 kg m = 2.50 mol / 0.805 kg = 3.11 m 6. How many moles of argon are there in a two-gas solution in which the mole fraction of helium (the other gas) is 0.31? The total number of moles is 12.00. nAr if XHe = 0.31, then XAr = 0.69 = ------- then nAr = 8.3 12.00 7. What is the molarity of a 0.436 N solution of aluminum hydroxide? (0.436 eq / 1 liter soln)( 1 mol / 3 eq ) = 0.145 M 8. A 1.000 M aqueous solution of silver nitrate has a density of 1.113 g/ml. What is the molality of the solution? 1.000 M solution contains 1 mol AgNO3 = 169.9 grams 1 liter x 1.113 g/ml = 1113 grams solution - 169.9 grams solute = 943 grams water m = 1.000 mol / 0.943 kg = 1.06 m 9. If 30.0 ml of a 8.05 M solution is diluted to a final volume of 5.00 liters, what is the molarity of the final, diluted solution? M2 = (8.05 M)(30.0 ml) / 5000 ml = 0.0483 M -210. A 4.000-gram mineral sample that contained KCl 16.9% by weight was dissolved in 850.0 ml of water at room temperature. What was the molality of the solution? The density of the solution was 1.30 g/ml. [(4.000 g)(16.9/100)(1 mol/74.6 g cpd)] / 0.850 kg = 0.0107 m 11. How many grams of water must be used in order to dissolve 100.0 grams of sodium perchlorate and produce a 0.335-molal solution? NaClO4 (100.0 g cpd)( 1 mol cpd/ 122.5 g)( 1000 g H2O / 0.335 mol) = 2440 g H2O 12. How many cubic decimeters of a 0.100 M solution can be prepared by dissolving 200.0 grams of sodium bicarbonate in water? 1 dm3 = 1 liter NaHCO3 (200.0 g cpd)(1 mol cpd / 84.0 cpd)( 1 liter / 0.100 mol) = 23.8 dm3 13. What is the normality of a solution in which 45.0 grams of calcium nitrate are dissolved in enough water to make 2.25 liters of solution? [(45.0 g cpd)(1 mol cpd / 164.1 g cpd)(2 eq / 1 mol cpd)] / 2.25 liters soln = 0.244 N 14. How many moles of phosphoric acid are in 500.0 ml of a 2.75 M solution? How many equivalents are in the same solution? (0.500 liters)(2.75 M) = 1.38 moles acid = 4.13 eq H+ 15. How many grams of water must be used to dissolve 165.0 grams of potassium chloride in order to produce a 0.750 m solution? (165.0 g KCl)( 1 mol / 74.6 g KCl)( 1000 g H2O / 0.750 mol) = 2950 gram H2O 16. If 85.0 grams of carbon dioxide gas is dissolved into 1.00 liter of water, what is the mole fraction of the solute? (85.0 g / 44.0 g/mol) 1.93 Xcarbon dioxide = ------------------------------------------------------ = ------ = 0.0336 (85.0 g / 44.0 g/mol) + (1000 g / 18.0 g/mol) 57.5 17. A 12.0 M solution of hydrochloric acid is 35.0% acid by weight. What is the density of this solution? (12.0 mol HCl / 1000 ml soln)(36.5 g HCl / 1 mol HCl)( 100 g soln / 35.0 g HCl) = 1.25 g/ml 18. You are to prepare 750 ml of a 0.50 M nitric acid solution from concentrated nitric acid, which is 16.0 M. How many milliliters of the concentrated acid are required? V1 = (0.50 M)(750 ml) / 16.0 M = 23.4 ml