CHEM 10050 Problem Set #3 Name_________________ 1. Calculate the molarity of normal saline (0.90% w/w NaCl) given the density of this solution to be 1.05 g/ml. Assume 100 g solution. 0.90% Then: 100 g soln x x g NaCl x 100% 100 g soln 1ml soln 1L 95.2 ml soln x 0.0952 L 1.05 g 1000 ml 0.90 g NaCl x 1mol NaCl 0.015 mol NaCl 58.4 g NaCl 0.015 mol NaCl 0.16 M 0.0952 L 2. Calculate the molarity of an aqueous solution resulting when 275 ml of 3.15 M glucose is diluted with 150 ml of water. M1V1 = M2V2 Total volume = 275 ml + 150 ml = 425 ml 3.15 M x 275 ml = M2 x 425 ml M2 3.15 M x 275 ml 2.04 M 425 ml 3. How many grams of sodium hydroxide are in 36.7 ml of 2.256 M sodium hydroxide? 36.7 ml x 1L 2.256 mol 40.0 g NaOH x x 3.31 g NaOH 1000 ml 1L 1 mol NaOH 4. What is the concentration of glucose in ppm in a 0.00025 M glucose solution? The density of this solution is 1.02 g/ml. 0.00025 mol glucose 1L soln 0.00025 M 0.00025 mol glucose x 1L x 180 g glucose 0.045 g glucose 1mol glucose 1000 ml 1.02 g x 1.02 x 10 3 g solution 1L 1 ml ppm 0.045 g x 10 6 44 ppm 1.02 x 10 3 g 5. Draw reaction diagrams for endothermic and exothermic reactions. Label each axis, reactants, products, heat of reaction (H), and energy of activation (Ea). Define heat of reaction and energy of activation. Endothermic Reaction A + B C Exothermic Reaction A + B C ‡ AB C products Energy Ea ΔH A+B reactants A+B reactants Energy ‡ AB Ea ΔH Reaction Pathway C products Reaction Pathway 6. Given the following; [H2] = 0.00537, [HCl] = 0.0354, H = -56.3 kJ, G = +26.6 kJ; Calculate Keq for the following reaction: Al(s) + HCl(g) H2(g) + AlCl3(s) Balanced equation: 2Al(s) + 6HCl(g) 3H2(g) + 2AlCl3(s) K eq [H2 ]3 [0.00537]3 78.7 [HCl]6 [0.0354] 6 a) Are the reactants or products favored at equilibrium? Explain. Products are favored at equilibrium. K is larger than 1. b) Is this reaction exergonic or endergonic? Explain. The reaction is endergonic (non-spontaneous). G = (+) c) Is S positive or negative for this reaction? Explain your answer. S = (-). Eight (8) moles of reactants is producing five (5) moles of products. The system is becoming more organized. d) Predict the effects of the following on the equilibrium and K (eq): i. increase [H2] Equilibrium shifts left. Keq is constant. ii. decrease [HCl] Equilibrium shifts left. Keq is constant. iii. decrease pressure Equilibrium shifts left. Keq is constant. iv. increase temperature Equilibrium shifts left. Keq decreases. v. add a catalyst No effect. 7. Calculate the pH, [H+], and [OH-] of a 0.0256 M solution of hydrobromic acid. HBr is a strong acid (electrolyte): HBr H+ + Br[H+] = 0.0256 M pH = -log[H+] = -log[0.0256] = 1.59 pOH = 14 – 1.59 = 12.41 [OH-] = 10-12.41 = 3.89 x 10-13 M 8. What is the pH of an acetic acid/sodium acetate buffer solution that has the following solution concentrations [HOAc] = 0.100 M, [OAc-] = 0.00500 M. For HOAc Ka = 1.8 x 10-5. [A ] pH of a buffer solution: pH = pKa + log [HA ] [0.00500] pH = -log[1.8 x 10-5] + log [0.100] pH = 4.74 + (-1.30) = 3.44 9. Predict the products for the following acid-base reactions. Label the conjugate pairs and balance each equation. a) Na2CO3 + 2HCl 2NaCl + [H2CO3] CO2 + H2O base1 acid1 base2 acid2 b) NH3 + H2O NH4+ + OHbase1 acid1 acid2 base2 c) CN- + H2SO4 HCN + HSO4base1 acid1 acid2 base2 d) HPO42- + OH- H2O + PO43acid1 base1 acid2 base2 e) NH3 + HBr NH4+ + Brbase1 acid1 acid2 base2 f) HCO3- + H2O H2CO3 + OHbase1 acid1 acid2 base2 or HCO3- + H2O CO32- + H3O+ acid1 base1 base2 acid2 g) 2HF + Ca(OH)2 CaF2 + 2H2O acid1 base1 base2 acid2 10. Explain in detail how the carbonic acid/bicarbonate buffer system in your body regulates blood pH. Be certain to use Lé Châtliér’s Principle and chemical equations in your explanation. See notes.