Thermochemistry Questions 1. a) Urea (from urine), CO(NH2)2(aq), hydrolyzes slowly in the presence of water to produce ammonia and carbon dioxide. What is the standard ΔHrxn, ΔSrxn and ΔGrxn for this reaction when 1 mole of urea reacts with water? (Create the balanced equation first then use the summation formulas and the formation values from the reference booklet.) CO(NH2)2(aq) + H2O(l) → CO2(g) + 2 NH3(g) ΔH = = = = Σ ΔHproducts - Σ ΔHreactants [CO2(g) + (2) NH3(g)] - [CO(NH2)2(aq) + H2O(l)] [-393.5 kJ + (2) -45.9 kJ] - [-335.5 kJ + -285.8 kJ] +136.0 kJ ΔS = = = = Σ ΔSproducts - Σ ΔSreactants [CO2(g) + (2) NH3(g)] - [CO(NH2)2(aq) + H2O(l)] [213.7 J/K + (2) 192.8 J/K] - [104.6 J/K + 69.9 J/K] +424.8 J/K ΔG = ΔH - T ΔS = +136.0 kJ – 298.15 K x +0.4248 kJ/K = +9.3 kJ b) At what temperature is this reaction spontaneous? As ΔG is positive, the reaction is not spontaneous at 25°C. ΔH 136.0 kJ ΔS 0.4248 kJ/K It is spontaneous at T > 47.0 °C 320.2 K 47.0 C T 2. What is ΔGrxn for the combustion of liquid ethyl alcohol (C2H5OH) to give CO2(g) and H2O(g)? Is the reaction spontaneous? C2H5OH (l) + 3 O2(g) → 2 CO2(g) + 3 H2O(g) ΔG = Σ ΔGproducts - Σ ΔGreactants = [(2) CO2(g) + (3) H2O(g)] - [C2H5OH(l) + (3) O2(g)] = [(2) -394.4 kJ + (3) -228.6 kJ] - [-174.8 kJ + (3) 0 kJ] = -1 299.8 kJ Yes, the reaction is spontaneous at 25°C, as ΔG is negative. 3. Calculate ΔHrxn and ΔSrxn for the following reaction and decide in which direction each of these factors will drive the reaction. N2(g) + 3 H2(g) → 2 NH3(g) ΔH = = = = Σ ΔHproducts - Σ ΔHreactants [(2) NH3(g)] - [N2(g) + (3) H2(g)] [(2) -45.9 kJ] - [0 kJ + (3) 0 kJ] -91.8 kJ spontaneous ΔS = = = = Σ ΔSproducts - Σ ΔSreactants [(2) NH3(g)] - [N2(g) + (3) H2(g)] [(2) +192.8 J/K] - [+191.6 J/K + (3) 130.7 J/K] -198.1 J/K non spontaneous
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