Year 12 Chemistry: Chapter 25 Energy from Chemical Reactions 25.1 Thermochemical Equations ∆H is equal to the difference in chemical energy, or enthalpy, between reactants and products. ∆H = ∆Hproducts - ∆Hreactants The heat of reaction, ∆H, is negative when there is an overall release of energy (exothermic reaction) and positive when heat is absorbed (endothermic reaction). ∆H is directly proportional to the amount of substance Energy Octane is a major component of petrol. Complete combustion of one mole of octane molecules to form carbon dioxide and steam releases 5054 kJ. This information can be written as a thermochemical equation: C8H18(g) + 12 O2(g) 8CO2(g) + 9H2O(g); ∆H= -5054 kJmol-1 Time If you were to burn twice as much octane, twice the energy (10 108 kJ) would be released. 2C8H18(g) + 25O2(g) 16CO2(g) + 18H2O(g); ∆H= -5054 kJmol-1 Note: The coefficients of the reactants indicate the amounts, in mole, of each substance that react to give the specified heat energy change. States of reactants and products must be specified, since energy changes occur when solids are converted to liquids or liquids to gases. Eg, the evaporation of water. H2O(l) H2O(g); ∆H= +44 kJmol-1 The combustion of octane to form water has a different ∆H value from the earlier equation where steam was produced. C8H18(g) + 12 O2(g) 8CO2(g) + 9H2O(l); ∆H= -5450 kJmol-1 If a reaction occurs in reverse, it has the same magnitude of ∆H but the opposite sign. H2O(l) H2O(g); ∆H= +44 kJmol-1 H2O(g) H2O(l); ∆H= -44 kJmol-1 Calculations using thermochemical equations 1. Calculate the heat energy released when 50.00 mL of 0.200 M sodium hydroxide reacts with excess dilute hydrochloric acid. H+(aq) + OH-(aq) H2O(l); ∆H= -57.2 kJmol-1 1 mol of NaOH releases _________ of energy. n(NaOH) = c x V Therefore 1 mol = 57.2 kJ what does 0.0100 mol = x 2. Calculate the energy releases when 250.0 g of petrol burns completely in a car engine. Assume petrol is mainly octane and burns according to the equation: 2C8H18(g) + 25O2(g) 16CO2(g) + 18H2O(g); ∆H= -5054 kJmol-1 2 mol of C8H18 releases ___________ of energy. nC8H18) = n M(C8H18) = M Therefore 2 mol = 5054 kJ what does 2.139 mol = x 3. What volume of methane, measured at standard laboratory conditions, is burnt to form carbon dioxide and water in order to provide 4.00 x 104 kJ of energy? CH4(g) + 2O2(g) CO2(g) + 2H2O(l); ∆H= -890 kJmol-1 1 mol of CH4 releases __________ of energy. Let x mol of CH4 release 4.00 x 104 kJ. By proportion: Since 1 mol of gas occupies a volume of 24.5 L at SLC, the volume occupied by 44.94 mol = 44.94 x 24.5 = 1.10 x 103 L Questions: 1, 2, 3, 4, 7, 8, 9, 10 & 21. Year 12 Chemistry: Chapter 25 Calorimetry 25.2 The connection between Energy and Temperature Change The increase in temperature of a substance when a given amount of energy is absorbed depends upon the materials ability to store thermal energy in its bonds. The amount of energy required to raise the temperature of one gram of a substance by 1C is called the specific heat capacity of the substance. The higher the specific heat capacity, the more effectively a material will store heat energy. Energy (J) = SHC x mass of substance (g) x temperature rise (C) Or Energy (J) = SHC x volume of substance (mL) x density of substance x temperature rise (C) *note: The density of water varies with temperature. At 5C water’s density is 1.0000 g mol-1 Example: Calculate the energy required to heat 120 mL of water for a cup of coffee to boiling point if the initial water temperature is 20.0C. Generally 1 mL = 1 g *note: don’t forget to calculate the temperature rise 25.3 Measuring the heat released during a reaction Enthalpy changes are measured directly using an instrument called a calorimeter. A bomb calorimeter is used for reactions that involve gaseous reactants or products. A solution calorimeter is used for reactions in aqueous solutions. When a reaction takes place in a calorimeter, the heat change causes a rise or fall in the temperature of the contents of the calorimeter. Before the calorimeter can be of use, you must first determine how much energy is required to change the temperature within a calorimeter by 1C. This is known as the calibration factor. The thermal energy released when an electric current passes through the heater can be calculated from the formula: Energy = voltage (volts) x current (amps) x times (seconds) E = VIt Once the calorimeter has been calibrated, we can measure the temperature change caused by a reaction occurring in the calorimeter. The calibration factor is then used to determine what energy change is responsible for this temperature change. Example: A bomb calorimeter was calibrated by passing 1.50 A through the electric heater for 50.1 s at a potential difference of 6.05 V. The temperature of the water in the calorimeter rose by 0.387C. ∆H for the equation: CH4(g) + 2O2(g) CO2(g) + 2H2O(l) was determined by burning 8.58 x 10-4 mol of methane gas in the calorimeter. The temperature rose from 20.241C to 20.891C. Step 1: Determine the calibration factor of the calorimeter. E = VIt Since the energy made the temperature rise by 0.387C, the energy required to raise the temperature by 1C = energy temp rise Step 2: Calculate the energy change during the reaction. ∆Temperature = Energy change in the calorimeter = calibration factor x ∆Temperature Energy change in the calorimeter = Step 3: Calculate ∆H for the equation. From the equation we require the heat change for the reaction of 1 mol of CH 4, we have 8.58 x 10-4 mol of CH4. 8.58 x 10-4 caused an energy change of Therefore as the reaction is a combustion it is an ________________ reaction. Therefore the ∆H = Heat of Combustion The heat of combustion of a substance is defined as the energy released when a specified amount (eg 1 g, 1 L, 1 mol) of the substance burns completely in oxygen. Choosing the best Fuel A wide range of fuels are used. Factors that need to be considered when selecting a fuel for a particular purpose include: Energy released per unit mass or unit volume Availability and cost of fuel Technology to convert chemical energy to useful work Ease of transport Hazards to people associated with its use or waste products Hazards to the environment associated with its use or waste products. Questions: 5, 12, 16, 27, 29 & 36.