Chemistry 11 HL Unit 5 / IB Topic 5.3 Energetics 3 Practice Problems - Hess’s Law - SOLUTIONS 1. see your notes 2. a) C(s) + O2(g) CO2(g) b) Eq 1 x 1 C(s) + 1/2 O2(g) → CO(g) ∆H1º = - 110.5 kJ Eq 2 x 1 CO(g) + 1/2 O2(g) → CO2(g) ∆H2º = - 280.3 kJ –––––––––––––––––––––––––––– C(s) + O2(g) CO2(g) –––––––––––––––– ∆H = -390.8 kJ 3. a) b) Eq 1 x -1 2 Fe(s) + 3 CO2(g) Fe2O3(s) + 3 CO(g) ∆H1 = +6.39 kcal Eq 2 x 3 3CO(g) + 3/2 O2(g) 3CO2(g) ∆H2 = -202.89 kcal –––––––––––––––––––––––––––––––––––– 2 Fe(s) + 3/2 O2(g) Fe2O3(s) –––––––––––––––– ∆H = -196.50 kcal ∆H = -196.50 kcal x 4.18 kJ/kcal = -821.37 kJ c) mol Fe = 2500 g x 1 mol 55.58 g = 44.8 mol 821.37 kJ x 44.8 mol Fe 2 mol Fe = 1.84 x 10 4 kJ heat released = 4. 5. a) CH4(g) + 2O2(g) CO2(g) + 2H2O(l) b) Eq 1 x 1 C(s) + O2(g) → CO2(g) ∆H1 = -393.5 kJ Eq 2 x 2 2H2(g) + O2(g) → 2H2O(l) ∆H2 = -571.2 kJ Eq 3 x -1 CH4(g) C(s) + 2H2(g) ∆H3 = +74.8 kJ ––––––––––––––––––––––––––––––––– CH4(g) + 2O2(g) CO2(g) + 2H2O(l) –––––––––––––– ∆Hc = -889.9 kJ Eq 1 x -1/2 HCl(g) + ½ Na2O(s) NaCl(s) + ½ H2O(l) ∆H1 = -253.65 kJ Eq 2 x -1/2 NaNO2(s) ½ NO(g) + ½ NO2(g) + ½ Na2O(s) ∆H2 = +213.57 kJ Eq 3 x ½ ½ NO(g) + ½ NO2(g) ½ N2O(g) + ½ O2(g) ∆H3 = -21.34 kJ Eq 4 x -1/2 ½ N2O(g) + ½ O2(g) + ½ H2O(l) HNO2(l) ∆H4 = -17.18 kJ ––––––––––––––––––––––––––––––––––––––––– HCl(g) + NaNO2(s) NaCl(s) + HNO2(g) –––––––––––––––– ∆H = -78.6 kJ Chemistry 11 HL Unit 5 / IB Topic 5.3 6. ∆H2 + 2∆H3 = ∆H1 + ∆H4 -393 + 2(-286) = ∆H1 + (-890) ∆H1 = -75 kJ -1 Note: The units for this answer should be kJ mol because the question is asking for an enthalpy of formation value. You will learn more about this value in Energetics 5.
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