Time to CONCENTRATE! 1. A sample of 500.0 g of drinking water is found to contain 44 mg of arsenic. What is this concentration in parts per million (ppm)? 44 ÷ 1000 = .044 g (.044 ÷ 500.0) x 1,000,000 = 88 ppm 2. A 750.0 g soft-water sample contains 151 mg Na. What is this concentration in ppm? 3. A 600.0 g sample of paint has 22.2 mg of “Yellow #5.” What is this concentration in ppm? 4. A solution is being made with 65.5 g of NaCl dissolved in 2,250 mL of water. 151 ÷ 1000 = .151 g (.151 ÷ 750.0) x 1,000,000 = 201 ppm 22.2 ÷ 1000 = .0222 g (.0222 ÷ 600.0) x 1,000,000 = 37.0 ppm a) How many liters is 2,250 mL? b) How many moles is 65.5 g of NaCl? 2,250 mL ÷ 1000 = 2.25 L mass ÷ molar mass (PT) = moles 65.5 ÷ 58.5 = 1.12 mol 58.5 = 23.0 (Na) + 35.5 (Cl) c) 5. What is the Molarity of the solution? 1.12 mol ÷ 2.25 L = 0.498 M A solution is being made with 4471 g of Al2S3 dissolved in 5,750 mL of water. a) How many liters is 5,750 mL? b) How many moles is 4471 g of Al2S3? 5,750 mL ÷ 1000 = 5.75 L mass ÷ molar mass (PT) = moles 4471 ÷ 150.3 = 29.75 mol 150.3 = 54.0 (2 Al, 27.0) + 96.3 (3 S, 32.1) c) What is the Molarity of the solution? 29.75 mol ÷ 5.75 L = 5.17 M 6. How many moles of sugar must be dissolved in 1.5 Liters of water to make a 4.0 M solution? 4.0 M = moles 1.5 L 7. So, 4.0 x 1.5 = 6.0 moles How many grams of CaBr2 must be dissolved in 2.25 Liters of water to make a 0.335 M solution? 0.335 M = moles 2.25 L So, 0.335 x 2.25 = 0.75375 moles Then, moles x molar mass (PT) = grams 0.75375 x 199.9 = 151 g (199.9 = Ca (40.1) + Br2 (79.9 + 79.9) = 40.1 + 159.8) 8. If 315 g of C6H12O6 is dissolved in enough water to make 750. mL of solution, what is the molarity of the sugar solution? mass ÷ molar mass (PT) = moles 315 ÷ 180.0 = 1.75 moles (180.0 = 6C + 12H + 6O = 6(12.0) + 12(1.0) + 6(16.0) = 72+12+96) Then, mL ÷ 1000 = L, so 750. ÷ 1000 = .750 L Finally, 1.75 mol ÷ .750 L = 2.33 M 9. What mass of Na2CO3 is present in 425 mL of a 0.75 M solution of sodium carbonate? 0.75 M = moles .425 L 425 mL ÷ 1000 = .425 L So, 0.75 x .425 = 0.31875 moles Then, moles x molar mass (PT) = grams 0.31875 x 106.0 = 34 g (106.0 = 2Na + 1C + 3O = 2(23.0) + 1(12.0) + 3(16.0) = 46+12+48) 10. If 250.0 L of a 1.5 M solution of NaCl evaporates, what mass of sodium chloride will remain behind? 1.5 M = moles 250. L So, 1.5 x 250. = 375 moles Then, moles x molar mass (PT) = grams 375 x 58.5 = 22,000 g 58.5 = 23.0 (Na) + 35.5 (Cl) 11. Mr. Senn needs to make a phosphoric acid solution for a lab. He has 10 M H3PO4 in stock, but he needs 1200. mL of 4.5 M H3PO4 for the lab. HOW DOES HE DO THIS? *Don’t forget the sentence!! M1V1 = M2V2 (10)(V1) = (4.5)(1200) 10x = 5400 x = 540 mL Take 540 mL of 10 M H3PO4 and dilute it with 660 mL of water.
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