Chem Thermochemical Equations Worksheet

Thermochemical Equations Introduction Chemical reactions always involve some sort of energy change. These energy changes often involve either heat gain or heat loss. A little terminology might help here. The system refers to the substance being observed or studied, such as the chemicals involved in a reaction. The surroundings are everything outside of the system. Heat is often described as the energy that flows into or out of a system as a result of a temperature difference. Heat always flows from the “hotter” substance, that being the substance with a higher temperature, to the substance with a lower temperature the “colder” one. In an exothermic reaction, heat flows out of the system into the surroundings. It could be said the system has lost some heat, and the surroundings have gained some. In an endothermic reaction, the system gains energy, or heat, from the surroundings. A flame is a good example of an exothermic reaction. It feels hot to the touch, because the system - the reaction involved in the combustion - is releasing heat to the environment, made up of your hand, among other things. Oppositely, an instant cold pack represents an endothermic change; it feels cold because heat is leaving your hand and flowing into the system - the cold pack. Units As heat is a form of energy, it is measured in SI units in joules (J), or, kilojoules (kJ), where 1000 J = 1 kJ. There are other units used for heat as well, such as calories or BTU’s, British Thermal Units. We will consistently refer to heat using SI units. Thermochemical Equations Since exothermic reactions involve the loss of heat to the surroundings, an energy term may be included on the product side of a chemical equation. For example, suppose octane (C8H18) burns in the presence of oxygen, producing carbon dioxide and water. The balanced equation for this reaction is: 2 C8H18(l) + 25 O2(g)  16 CO2(g) + 18 H2O(l) When two moles of octane burns according to this reaction, 10,148kJ of heat are produced. Thus, the corresponding thermochemical equation may be written: 2 C8H18(l) + 25 O2(g)  16 CO2(g) + 18 H2O(l) + 10,148 kJ Similarly, for an endothermic reaction, an energy term may be included on the reactant side of a chemical equation, indicating energy is being added into the system. Why Use Thermochemical Equations ? Thermochemical equations are very valuable tools in chemistry, since they directly relate moles of reactants and products to the heat generated or absorbed by the reaction. For example, consider the above reaction, the combustion of octane. How many kilojoules of heat are released into the surroundings for each gram of octane that reacts? We can easily calculate the molar mass of octane: C: 8 x 12.01g = H: 18 x 1.01g = 96.08g 18.18g 114.26g And using this information, together with the balanced equation, we can calculate: 1.000g C8H18 x 1 mole x 10,148 kJ = 44.41 kJ 114.26g 2 moles C8H18 Thus, 44.41 kJ of heat is released into the surroundings for each gram of octane that is consumed in the reaction. Or consider the following question: how many grams of carbon dioxide have been produced according to the above reaction if 5000 kJ of heat has been generated? C: 1 x 12.10g = 14.01g O: 2 x 16.00g = 32.00g 44.01g 5000 kJ x 16 mole CO2 x 10,148 kJ 44.01g = 346.95g CO2 1 mole CO2 3. Practice with these.... 1. Consider the following thermochemical reaction for kerosene: 2 C12H26(l) + 37 O2(g)  24 CO2(g) + 26 H2O(l) + 15,026 kJ (a) When 21.3 g of CO2 are made, how much heat is released? (b) If 500.00 kJ of heat are released by the reaction, how grams of C 12H26 must have been consumed ? (c) If this reaction were being used to generate heat, how many grams of C12H26 would have to be reacted to generate o o enough heat to raise the temperature of 750g of liquid water from 10 C to 90 C? 2. Consider the reaction: NaNO3(s) + H2SO4(l) → NaHSO4(s) + HNO3(g) ΔH° = 21.2 kJ How much heat must absorbed by the reaction system to convert 100g of NaNO3 into NaHSO4(s)? 3. What is the enthalpy change when 49.4 mL of 0.430 M sulfuric acid reacts with 23.3 mL of 0.309 M potassium hydroxide? H2SO4(aq) + 2KOH(aq) → K2SO4(aq) + 2H2O(l) ΔH° = –111.6 kJ/mol