CH16 REACTION ENERGY 11 Geng Tiffany Wang SECTION 1 THERMOCHEMISTRY • Thermochemistry is the study of the transfers of energy as heat that accompany chemical reactions and physical changes • Ex: The burning of a match • A calorimeter measures energy absorbed as heat • Temperature is a measure of the average kinetic energy (KE) of the particles in a sample of matter (More KE in in particles=hotter) • Joule (J) is the SI unit of heat HEAT &SPECIFIC HEAT • Heat is the energy transferred between samples of matter because of a difference in their temperatures *Energy always moves from higher temperature to lower temperature • Specific Heat is the amount of energy required to raise the temperature of one gram of a substance by one Celsius degree (1°C) or one Kelvin (1K) EXAMPLE PROBLEM 1 Question: A 500-gram cube of lead is heated from 25 °C to 75 °C. How much energy was required to heat the lead? The specific heat of lead is 0.129 J/g°C. SOLUTION m = 500 grams c = 0.129 J/g°C ΔT = (Tfinal – Tinitial) = (75 °C – 25 °C) = 50 °C Plug these values into the specific heat equation from above. Q = mcΔT Q = (500 grams)·(0.129 J/g°C)·(50 °C) Q = 3225 J ENTHALPY • The energy absorbed as heat during a chemical reaction at constant pressure is represented by ΔH (enthalpy) *Only changes in enthalpy can be measured • The enthalpy of reaction is the quantity of energy transferred as heat during a chemical reaction • Endothermic Reaction: Absorb heat 2H2O (g) + 483.6 kJ 2H2 (g) + O2 (g) ΔH= +483.6 kJ • Exothermic Reaction: Release heat 2H2 (g) + O2 (g) 2H2O (g) + 483.6 kJ ΔH= -483.6 kJ *Exothermic compounds tend to be very stable • The basis for calculating enthalpies of reaction is known as Hess’s law: The overall enthalpy change in a reaction us equal to the sum of enthalpy changes for the individual steps of the process EXAMPLE PROBLEM 2 Question: Find the enthalpy change for the reaction CS2(l) + 3 O2(g) → CO2(g) + 2 SO2(g) when: C(s) + O2(g) → CO2(g); ΔHf = -393.5 kJ/mol S(s) + O2(g) → SO2(g); ΔHf = -296.8 kJ/mol C(s) + 2 S(s) → CS2(l); ΔHf = 87.9 kJ/mol SOLUTION Our reaction needs one CO2 in the product and the first reaction also has one CO2 product. C(s) + O2(g) → CO2(g) ΔHf = -393.5 kJ/mol This reaction gives us the CO2 needed on the product side and one of the O2 needed on the reactant side. The other two O2 can be found in the second reaction. S(s) + O2(g) → SO2(g) ΔHf = -296.8 kJ/mol Since only one O2 is in the reaction, multiply the reaction by two to get the second O2. This doubles the ΔHf value. 2 S(s) + 2 O2(g) → 2 SO2(g) ΔHf = -593.6 kJ/mol Combining these equations gives 2 S(s) + C(s) + 3 O2(g) → CO2(g) + SO2(g) The enthalpy change is the sum of the two reactions: ΔHf = -393.5 kJ/mol + -593.6 kJ/mol = 987.1 kJ/mol This equation has the product side needed in the problem but contains an extra two S and one C atom on the reactant side. Fortunately, the third equation has the same atoms. If the reaction is reversed, these atoms are on the product side. When the reaction is reversed, the sign of the change in enthalpy is reversed. CS2(l) → C(s) + 2 S(s); ΔHf = -87.9 kJ/mol Add these two reactions together and the extra S and C atoms cancel out. The remaining reaction is the reaction needed in the question. Since the reactions were added together, their ΔHf values are added together. ΔHf = -987.1 kJ/mol + -87.9 kJ/mol ΔHf = -1075 kJ/mol Answer: The change in enthalpy for the reaction CS2(l) + 3 O2(g) → CO2(g) + 2 SO2(g) is ΔHf = -1075 kJ/mol. DRIVING FORCE OF REACTIONS • Entropy (S) is a measure of the disorder or randomness in a system *The natural process of the universe is to go toward more entropy FREE ENERGY • Gibbs free energy: determines if a reaction is endothermic or exothermic EXAMPLE SOLUTION 3 Calculate ∆G at 290 K for the following reaction: 2NO(g)+O2(g)→2NO2(g)(4)(4)2NO(g)+O2(g)→2NO2(g) Given ∆H = -120 kJ ∆S = -150 JK -1 SOLUTION now all you have to do is plug in all the given numbers into the above equation that was introduced earlier. expect you have to convert ΔSΔS so the same unit was ΔHΔH. ΔS=-150J/K(1kJ1000J)=-0.15kJ/KΔS=150J/K(1kJ1000J)=-0.15kJ/K ∆G=-120kJ-(290K)(-0.150kJ/K) =-120kJ+43kJ =77kJ∆G=