9.5 STOICHIOMETRY IN SOLUTION CHEMISTRY Stoichiometry involves calculating the amounts of reactants and products in chemical reactions. Stoichiometry problems in solution chemistry involve a few additional steps. If a precipitate forms, the net ionic equation may be easier to use than the chemical equation. Some problems may require you to calculate the amount of a reactant, given the volume and concentration of the solution. Stoichiometry in solution only differs in how the moles are calculated. We use the amount concentration formula: n=cxv Use the following technique when solving solution stoichiometry: A(aq) + (Given) mol 3B(aq) (Given) mol 2C(S) + D(aq) (What quantity are we looking for?) Step One: Write the quantities given below of the reactants they represent in the reaction (# 1 on diagram) and use the necessary equation to determine the number of moles. Step Two: If necessary, decide which reactant is limiting. Step Three: Use the moles of limiting reactant to decide the moles of product, using a stoichiometric ratio or mole ratio. Step Four: Use the amount in moles of the desired product, obtained in step four, to find an amount in grams, volume or a concentration. If an amount in grams is needed, the moles should be multiplied by molar mass. If a concentration is needed, the amount in moles should be divided by the final volume. 9.5 LIMITING REACTANTS IN SOLUTIONS Example 1: If 10.3 L of 1.8 M aqueous copper (II) chloride reacts with 6.3 x 103 mL of 2.30 M sodium phosphate, calculate the mass of the precipitate produced. Balanced equation: 3 CuCl2(aq) + 2 Na3PO4(aq) ---> Cu3(PO4)2(s) + 6 NaCl(aq) (10.3 L) (6.3 x 103 mL) x (1.8 mol/L) (2.30 mol/L) SOLUTION: 1 - Find moles of CuCl2(aq) and Na3PO4(aq) nCuCl2 = c x v = 1.8 mol/L x 10.3 L = 19 mol CuCl2 nNa3PO4 = c x v = 2.30 mol/L x 6.300 L = 14.5 mol Na3PO4 2- Determine Limiting Reactant – Compare the mass of the reactant to the mass of the product nCu3(PO4)2 = 19 mol CuCl2 (1 mol Cu3(PO4)2) nCu3(PO4)2 = 14.5 mol Na3PO4 (1 mol Cu3(PO4)2) 3 mol CuCl2 2 mol Na3PO4 = 6.3 mol Cu3(PO4)2 = 7.25 mol Cu3(PO4)2 The Limiting Reactant is CuCl2. 3 – Calculate the mass of the precipitate. (You can use the GRASS method) mCu3(PO4)2 = n x MM = 6.2 mol x 380.5 g/mol = 2.4 x 103 g or 2.4 kg Example 2: Calculate the concentration (in mol/L) of chloride ions in each solution. a) 19.8 g of potassium chloride dissolved in 100 mL of solution. b) 26.5 g of calcium chloride dissolved in 150 mL of solution. KCl(aq) 19.8 g Molar mass Amount (mol) Amount of ClConcentration of Cl- K+(aq) + Cl-(aq) cCl = ? CaCl2(aq) 26.5 g Ca+(aq) + 2 Cl-(aq) cCl = ? Molar mass Amount (mol) Amount of ClConcentration of Cl- The concentration of chloride ions when 19.8 g of potassium chloride is dissolved in 100 mL of solution is 2.66 mol/L. The concentration of chloride ions when 26.5 g of calcium chloride is dissolved in 150 mL of solution is 3.19 mol/L. Read Page 444-449 Practice Problems: Page 447 PP#1 Page 448 PP#2,3 Review Problems: Page 449 PP#1,3,5,7,9
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