Thermodynamics Types of Energy A. Energy – Capacity to do work or transfer heat B. Types of Energy 1. Kinetic – Energy of motion a. KE = ½ mv2 b. Unit – Joules (kg –m2/s2) 1 calorie = 4.184 J 1000 cal = 1 Cal (nutr) Thermodynamics Thermodynamics Types of Energy F = ma W = Fd c. Macroscale KE – energy of movement (car, baseball) d. Microscale KE – Temp. measure of average KE of molecules K = ½ mv2 U = mgh Thermodynamics Thermodynamics Types of Energy 2. Potential Energy – stored energy Types of Energy System and Surroundings a. Macroscale PE – energy of position (rollercoaster ex.) 1. System – What we are studying b. Microscale PE – Energy in chemical bonds. a. Open system – Car, earth 2. Surroundings – rest of the universe b. Closed system – Vacuum (Food example) 1 Thermodynamics Thermodynamics The First Law The First Law The First Law of Thermodynamics Energy is neither created nor destroyed. It only changes form. Energy is conserved. B. Examples 1. Car 2. Vacuum Cleaner E=q+w E = change in energy q = heat w = work Thermodynamics Thermodynamics The First Law Exo and Endothermic C. Transfer of Energy 1. Car – Chemical to heat to mechanical D. Consequences of the First Law 1. No machine is 100% efficient 2. Always lose some energy to heat Thermodynamics Enthalpy – Heat Energy A. Heat – Energy transferred because of a difference in temperature (Cooking a turkey example) B. Extensive Property – depends on amount of material Glass of water vs. iceberg “Which has more heat” Exothermic • • • • Gives off heat Surroundings get hotter (transfer of heat from molecules) H– Hot pack, burning gas, exercise Endothermic • Absorbs heat from surroundings • System gets hotter, surroundings get colder • H+ • Cold Pack, cooking Thermodynamics Calorimetry A. Calorimetry – Measuring heat by measuring a temperature change B. Specific Heat – Amount of heat to raise temperature of one gram of a substance one degree Celsius or Kelvin 1. Unit – J/goC 2. Higher the sp. heat, more energy needed to raise temp 2 Thermodynamics Thermodynamics Calorimetry 3. Example – Wooden Spoon (~2 J/goC) vs. metal spoon (~0.50 J/goC) 4. Water a. Very high specific heat - 4.18 J/goC b. Oceans c. Our bodies Thermodynamics Calorimetry C. Heat for one substance 1. Formula q = mCp T q = heat m = mass (grams) Cp = specific heat (J/goC) T = Tfinal – Tinitial Thermodynamics Calorimetry 1. How much heat is needed to warm 250.0 grams of water from 22.0oC to 98.0oC to make tea? (Ans: 79.5 kJ) 2. Calculate the specific heat of copper if 12.0 grams of copper cools from 98.0oC to 96.2 oC and tranfers 8.32 J of heat. (0.385 J/goC) Calorimetry a. Calculate how much heat is absorbed by 50.0 kg of rocks if their temperature increases by 12.0 oC? Assume the specific heat is 0.82 J/g oC. (492 kJ) b. Calculate how many calories of heat they absorbed. (117 kcal) c. Calculate the final temperature of the rocks if they absorbed 450 kJ of heat and began at a temperature of 26.9 oC. (37.9 oC) d. 50 kg of Copper (0.385 J/goC)absorbs the same amount of heat as the rocks in part c. Would the temperature change be greater or less for copper? Thermodynamics Thermodynamics Calorimetry A student heats 60.0 grams of iron to 98.0oC in a hot water bath. They then submerge the metal in 150.0 g of water (Cp = 4.18 J/goC) at 20.0oC. After a few minutes, the cup and metal reach a final temperature of 23.2oC. a. Calculate the heat gained by the water. b. Calculate the specific heat (Cp) of the metal. 3. Heat Capacity – heat to raise temperature of a particular object by 1K; unit of J/K a. Used only for one object b. Car part c. heat capacity= mCp 3 Thermodynamics Thermodynamics Calorimetry a. How many Joules of heat are required to raise 1 gram of water by 1 degree Celsius? b. Calculate the molar heat capacity of water? (Ans: 75.2 J/ oC) c. Calculate the heat capacity of 250.0 grams of water? (Ans: 1050 J/K) d. Calculate the heat capacity of 6.20 mole of iron? (Ans: 156 J/oC) Thermodynamics Heat of Reaction 1. Calorimeter – Coffee Cup 2. Used to measure heats of a chemical reaction H = -q H = -mCp T m = mass of BOTH reactants Cp = often 4.18 J/goC for aqueous solns Thermodynamics Heat of Reaction Example 1. Heat of Reaction Example 2. When a student mixes 50.0 mL of 1.00 M HCl and 50.0 mL of 1.00 M NaOH in a calorimeter, the temperature rises from 21.0oC to 27.5oC. Calculate the change in enthalpy for the reaction. When 50.0 mL of 0.100 M AgNO3 and 50.0 mL of 0.100 M HCl are mixed, the temperature rises from 22.30oC to 23.11oC. Calculate the change in enthalpy for the reaction per mole of AgNO3. (Ans: -2.7 kJ and –54 kJ/mol NaOH) (Ans: –68 kJ/mol AgNO3) Thermodynamics Thermodynamics Standard State A. Standard State – State of an element @25oC and 1 atm. 1. Standard Enthalpy of formation of an element in its st. state is zero 2. Takes no energy to make an element assume st. state. “Exists in this form naturally” Standard State 3. Examples O2(g) H2(g) N2(g) F2(g), Cl2(g), Br2(l), I2(s) C(graphite) Fe(s) Hfo 0 0 0 0 0 0 4 Thermodynamics Thermodynamics Standard State 4. Carbon Allotropes – different physical forms of the same element a. Graphite b. Diamond c. Buckyball (Buckminster Fuller) C(gr) 0 C(dia) 1.88 kJ/mol C60(s) 2269 kJ/mol Thermodynamics Thermodynamics Thermodynamics 5 Thermodynamics Standard State 5. Writing Standard State Equations Examples: CO(g) H2O(g) KClO3(s) Thermodynamics Thermodynamics Standard State Standard State NaNO3(s) Fe(NO3)3(s) NH4CN(s) CH3COOH(l) Al2(CO3)3(s) NaOH (s) Thermodynamics Thermodynamics H of Reaction 6. Using Standard Enthalpies of Formation Hor = n Hfoprod – m Hforeactants n,m = coefficients Hfo = values in text H of Reaction Example 1. Calculate H for the combustion of liquid C6H6 to CO2 and water (Ans:-3267 kJ/mol C6H6) 6 Thermodynamics Thermodynamics H of Reaction Example 2. H of Reaction Example 3. Calculate H for the combustion of liquid C2H5OH to CO2 and water Calculate Hfo for CaCO3(s) if you are given: (Ans:-1367 kJ/mol C2H5OH) CaCO3(s) CaO(s) + CO2(g) Hrxno = +178.1 kJ (Ans:-1207.1 kJ/mol CaCO3) Thermodynamics H of Reaction Example 4. Calculate Hfo for CuO(s) if you are given: CuO(s) + H2(g) Cu(s) + H2O(l) Hrxno = -129.7 kJ (Ans:-156.1 kJ/mol CuO) 20.0 mL of 0.100 M NaOH(aq) is neutralized with Thermodynamics 0.0950 M HNO3(aq). a. Write the balanced chemical reaction for this process. b. Calculate the volume of HNO3 required.(21.1 mL) c. When these two volumes are mixed, the temperature rises from 22.3oC to 23.0 oC. Calculate the Hrxn/mole of NaOH. (-60.1 kJ/mol) d. Calculate heat of reaction the using the heats of formation values found in the appendix (not the pancreas). (-55.83 kJ/mol) e. How do your two answers compare? Thermodynamics Enthalpy – Heat Energy A. Example 2H2(g) + O2(g) 2H2O(g) H = -483.6 kJ 1. Hindenberg 2. Heat is released to the surroundings. 3. -483.6 kJ released per 2 mole of H2, 1 mole O2, or 2 mole of H2O 7 Thermodynamics Thermodynamics Enthalpy – Heat Energy Enthalpy – Heat Energy B. Example 1. Example 2. How much heat is released from the combustion of 10.0 g of H2? 2H2(g) + O2(g) 2H2O(g) H = -483.6 kJ How much heat is released when 5.00 g of H2O2 decomposes? (Ans: -1210 kJ) Answer: Thermodynamics 2H2O2 2H2O + O2 H= -196 kJ -14.4 kJ Thermodynamics Enthalpy – Heat Energy Enthalpy – Heat Energy Example 3 Example 4 How much heat is required to produce 25.0 g of H2O2? How much H2O2 is produced if 300.0 kJ of heat are absorbed? Reverse above reaction 2H2O + O2 2H2O2 Answer: +72.1 kJ H= +196 kJ Answer: 104 grams Thermodynamics Enthalpy – Heat Energy Example 5 How many grams of water are produced if 8437 kJ of heat are released? C6H6 + 15/2O2 6CO2 +3H2O H= -3267 kJ Thermodynamics Hess’s Law A. Hess’s Law - If a reaction is carried out in a series of steps, you add the H’s for the individual steps B. Can calculate H without having to do the experiment. C. Rules 1. If you flip the reaction, flip the sign of H 2. If you multiply the reaction, multiply the H. Answer: 139.5grams 8 Thermodynamics Thermodynamics Hess’s Law D.Example 1. Hess’s Law Example 2. NO (g) + O(g) NO2(g) C(gr) C(diamond) C(gr) + O2(g)CO2(g) C(dia) + O2(g)CO2(g) H = -393.5 kJ H = -395.4 kJ NO(g) + O3(g) NO2(g) + O2 (g) H=-198.9 kJ O3(g) 3/2 O2 (g) H=-142.3kJ O2(g) 2 O(g) H=+495.0kJ (Ans: -304.1 kJ) (Ans: +1.9 kJ) Thermodynamics Hess’s Law Calculate the enthalpy for the reaction: 1/2N2(g) + 2H20(l)NO2(g) + 2H2(g) Example 3. 2C(s) + H2(g) C2H2(g) 2NH3(g) N2(g) + 3H2(g) H=161KJ NO2(g) + 7/2H2(g) 2H2O(l) + NH3(g) H=-378KJ C2H2(g) + 5/2O2(g) 2CO2(g) + H2O (l) H= -1299.3 kJ C(s) + O2(g) CO2(g) H= -393.5 kJ H2(g) + ½O2(g) H2O(l) H= -285.8 kJ (ANS: 297.5 kJ) (Ans: +226.5 kJ) Thermodynamics Thermodynamics Food A. Food 1. Carbohydrates – break down into glucose, then CO2 and H2O Food 2. Fats – produce CO2 and H2O as waste 38 kJ/g 9 Cal/g (9 Calories per 2 M&M’s) C6H12O6 + O2 CO2 + H2O H = -2803 kJ/mol Provide 17 kJ/g About 4 Cal/g (4 per raisin) 9 Thermodynamics Thermodynamics Food 3. Proteins – Produce CO2, H2O and (NH2)2CO as waste a. Amino Acid structure responsible for the urea. b. 17 kJ/g Fuels 1. Fossil Fuels (coal, oil, natural gas, propane, diesel, gasoline) 2. Coal a. All anthracite in PA b. Fossilized plant matter c. Sulfur often in coal (SO3) 4 Cal/g SO3 + H2O H2SO4 Thermodynamics Thermodynamics Fuels Acid rain affected this statue at the Field Museum in Chicago (botttom is after restoration) 3. Hydrogen a. Can be produced by breaking down water or fossil fuels (Maybe solar powered) b. Burns to produce water c. 20 to 50 % more efficient than gasoline d. Explosive 42.a) endo b) 127 kJ c) Thermodynamics 1.15 g d) -165 kJ 44.a) -18.8 kJ b) -5.14 kJ c) not spontaneous 46.a) -630 kJ b) + 630 kJ c) reverse favored 50.a) Hg(l) b) 70 J 52. 4110 J or 4.11 kJ 54.a) 25 kJ/mol b) endothermic 62. -867.7kJ 64.155.7 kJ 68. Thermodynamics ½ H2(g) + ½ Br2(l) HBr(g) Ag(s) + ½ N2(g) + 3/2 O2(g) AgNO3(s) 2Fe(s) + 3/2 O2(g) Fe2O3(s) 2C(gr) + 2H2(g) + O2(g) CH3COOH(l) a) -36.23 kJ b) -124.4 kJ d) -487.0 kJ c) -822.2 kJ 10 72. a) -426.74 kJ b) -382.5 kJ Thermodynamics c) -433.7 kJ Mr. Fredericks’ old ID card was getting a bit dated. d) -150 kJ 74. -60.6 kJ 11