School of Chemistry and Physics, University of KwaZulu-Natal, Westville Campus, Durban General Principles of Chemistry – CHEM110 Tutorial 10 – 2nd May and 4th May 2012 1. A 2.250 g-1 sample of quinone (C6H4O2) is burned in a bomb calorimeter whose total heat capacity is 7.854 kJ/°C. The temperature of the calorimeter increases from 23.62 °C to 30.91 °C. A. What is the heat of combustion per gram of quinone? Need the following equation: q = mCΔT = . × . ℃ qcalorimeter = - qreaction ×( . − . )= . / Thus –qreaction = - 25.4 kJ/g Also ΔH~–qreaction B. What is the heat of combustion per mole of quinone? Molar Mass = 108.0964 g/mol Answer = -2750 kJ/mol . × . . = . 2. Using the bond enthalpies tabulated in Table 7.4 in the textbook, estimate ΔH for each of the following gas-phase reactions: Equation Needed: Hrxn = (bond enthalpies of bonds broken) – (bond enthalpies of bonds formed) a. Broken: 1 C=C = 614, 1 O-O = 146, total = 760 Formed: 2 O-C = (2 x 358), 1 C-C = 348, total = 1064 760 – 1064 = -304 kJ/mol Ans = - 304 kJ b. Broken: 1 C=C = 614 and 1 H-C = 413; Total = 1027 Formed: 2 C-C = (2 X 348), and 1 H-C = 413; Total = 1109 1027 – 1109 = – 82 c. Broken: 6 N-Cl = (6 x 200); Total = 1200 Formed: 1 N≡N = 941, and 3 Cl-Cl = (3 x 242); Total = 1667 1200 – 1667 = - 467 Ans = -467 kJ 3. The hydrocarbons acetylene (C2H2) and benzene (C6H6) have the same empirical formula. Benzene is an 'aromatic' hydrocarbon, one that is unusually stable because of its structure A. By using the data in Appendix C in the textbook (226.77 kJ/mol and 49 kJ/mol), determine the standard enthalpy change for the reaction: . Use: H = n Hf(products) - m Hf(reactants) H = [49] – [3 x (226.77)] = -631.31 kJ/mol B. Which has greater enthalpy, 3 mol of acetylene gas or 1 mol of liquid benzene? 3 mol acetylene = 3 x 226.77 = 680.31 1 mol benzene = 1 x 49 = 49 Ans = 3 mol acetylene C. Determine the enthalpy of combustion in kJ g-1 for acetylene. H = n Hf(products) - m Hf(reactants) Combustion of acetylene C2H2(g) + 2.5O2(g) 2CO2(g) + H2O(l) H = [2(-393.5) + (-285.83)] – [(226.77) + (2.5(0)] H = -1299.6 kJ mol-1 H = - 1299.6 kJ mol-1 × Ans = -50 kJ g-1 =− . . D. Determine the enthalpy of combustion in in kJ g-1 for benzene. H = n Hf(products) - m Hf(reactants) Combustion of benzene C6H6(l) + 7.5O2(g) 6CO2(g) + 3H2O(l) H = [6(-393.5) + 3(-285.83)] – [(49) + (7.5(0)] H = - 2695.83 kJ mol-1 H = - 2695.83 kJ mol-1 × . =− . Ans = -35 kJ g-1 Ans = 40 kJ g-1 When water is produced as a gas Ans = 41 kJ g-1 When benzene is a gas, and water is produced as a gas Above methods do not round off the answer until the end… HOWEVER (sample exercise 4.11, in the assigned textbook, shows…) H = [6(-393.5) + 3(-285.83)] – [(49) + (7.5(0)] H = (-2361 – 857.4 – 49) kJ H = -3267 H = - 3267 kJ mol-1 × . =−− . Ans = 42 kJ g-1 Rounding off at each stage of the calculation 4. What is ΔHrxn for the following chemical reaction? Express your answer numerically, in kJ. Element Standard Heat of Formation (kJ/mol) Use: H = n Hf(products) - m Hf(reactants) H = [(-1150) + (-241.8)] – [(-393.5) +2(-424.70)] Ans = -149 kJ 5. Given the data use Hess's law to calculate for the reaction Express your answer using four significant figures. The first equation given remains as written since the product ‘NO’ is on the right and it is on the right in the final equation: ( )+ ( )→ ( ) ∆ = + . Reverse the second equation given because ‘NO’ is a reactant and we want it as a product (as shown in the final equation given): ( )→ ( )+ ( ) Note the sign on the enthalpy changes ∆ = + . The third equation remains as written: ( )→ ( )+ ( ) ∆ = − . When you cancel terms on opposite sides of the arrow, note there is a N2 left over, which is not in the final equation, thus must get rid of it, the only way to do that is re-write the first equation x 2, and remember to multiply the ΔH by 2 ( )+ ( )→ ( ) ∆ = + . ( )→ ( )+ ( ) ∆ = + . ( )→ ( )+ ( ) ∆ = − . Final equation: ( )+ ( )→ ( ) ∆ = + . However we want it per mol of N2O, thus divide through by 2: ( )+ Ans = 155.7 kJ ( )→ ( ) ∆ = + .
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