Chapter 5 Thermochemistry S System and Surroundings System In which the chemical reaction is taking place Surroundings All else (container, air outside of the container, etc.) Universe= System + Surroundings Open system and closed system Open System: the transfer of matter and energy is possible across its boundary Closed system: allow no transfer of matter, though energy may be transferred across the boundary. Isolated system: No matter and Energy change. Label each system as open or closed, Explain Which system would you use to demonstrate conservation of mass? Why? Why do you think the fish bowl above is considered a system, but an empty fish bowl is not? The First Law of Thermodynamics Law of Conservation of Energy First Law of Thermodynamics: Energy cannot be created or destroyed energy is conserved. Important!! Energy lost by a system is gained by the surroundings (and vice versa) Energy can be transferred but can not be created or destroyed The First Law of Thermodynamics Law of Conservation of Energy First Law of Thermodynamics: Energy cannot be created or destroyed energy is Important!! conserved. The overall change in energy of a system will be equal to: The final energy of the system minus the initial energy of the system E = Efinal − Einitial Enthalpy Change(system energy) Enthalpy change – The energy difference between the final state and initial state. It is a state function,any change in value is independent of the pathway between the inial and fianl state instead of the passway. H = Efinal − Einitial What are the units of Enthalpy? The process is exothermic The process is endothermic Question Are the two following processes endothermic or exothermic? An ice cube melts in a reaction flask (ice cube is the system) Combustion of propane in a reaction flask (propane and oxygen are the system, flask and all else is surrounding) 1. 2. 3. 4. Exothermic, Endothermic Exothermic, Exothermic Endothermic, Exothermic Endothermic, Endothermic Fillling the Blank During an exothermic reaction the chemical reactants are _____(losing/gaining) energy. This energy is used to heat the surroundings – e.g. the _______________ ,The products end up with _______(more/less) energy than the reactants had – but the surroundings end up with ______(more/less), and get ______(hotter/cooler). We measure the energy transferred to and from the surroundings as enthalpy change, H. State Functions State Function: property of a system that is defined by specifying the system’s condition or state (temperature, pressure, etc.) is not defined by the path by which the system achieved that state Enthaphy is an example of a State Function Question An unknown substance that was initially at 25 °C and had 1. 2. 3. 4. an internal energy of E1 = 1 kJ It was heated to 50 °C, where its internal energy was E2 = 2 kJ It was then cooled down in a refrigerator to 4 °C where its internal energy was E3 = 0.5 kJ. Determine the Enthalphy change from 4 °C to 50 °C(ΔH). 1 kJ 1.5 kJ 0.5 kJ - 0.5 kJ ENERGY Energy is the capacity to do work or transfer heat SI Unit: Joule (J) The Joule is the unit for all types of energy, so it applies to: ■ ■ ■ ■ ■ ■ Kinetic Energy Potential Energy Heat Work molecular Energy Enthalpy WORK Example Work: Energy used to cause an object to move against a force HEAT Example Heat: The energy used to cause the temperature of an object to increase Heat flows from warmer objects to cooler objects Enthalpy of Reaction S Enthalpy of Reaction The change in heat energy of a system undergoing a chemical reaction at constant pressure is defined as the enthalpy change, ΔH, of the process Also referred to as “heat change” or “heat of reaction”, ΔH Unit: KJ Enthalpy of Reaction Reactants For a chemical reaction the enthalpy of reaction is: ΔH = Hproducts – Hreactants ΔH can be measured experimentally (Going to introduce later) Products Exothermic Endothermic Exothermic reaction: A chemical reaction that give out heat energy to the surrounding ΔH<0 Endothermic reaction: A chemical reaction that absorb heat energy to the surrounding ΔH>0 Compare the stability of reactants and products Substance with low energy is more stable. Write down a Thermal Equation State Coefficient Number Enthalpy ΔH CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) 890 kJ H = Will the ΔH change with the change of coefficient number? Will the ΔH change with the change of state of reactants or products? Enthalpy of Reaction---Q1 1. Enthalpy is an extensive property ( proportional to the amount of reactants consumed and the amount of products generated.) Value of ΔH will given for a balanced reaction (thermochemical equation) CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) H = 890 kJ What would be the enthalpy associated with the combustion of 2 moles of CH4? What would be the enthalpy associated with the production of 3 moles of 3 moles of CO2? Enthalpy of Reaction---Q2 2. H for a reaction in the forward direction is equal in value, but opposite in sign, to H for the reverse reaction. CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) H = 890 kJ CO2(g) + 2 H2O(l) CH4(g) + 2 O2(g) H = ()(890) kJ H = + 890 kJ Enthalpy of Reaction---Q3 3. The enthalpy change for a reaction depends on the state of the reactants and the products. CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) H = 890 kJ If the product was H2O(g) instead of H2O(l), would H be the same? H = 802 kJ because: 2 H2O(l) 2 H2O(g), H = +88 kJ Question 4 Calculate the quantity of heat produced when 0.345 mol of O2 is formed at constant pressure. 2 KClO3(s) 2 KCl(s) + 3 O2(g) H = 89.4 kJ Question 5 Calculate the quantity of heat produced when 2.50 g of NH4NO3 decomposes at constant pressure. NH4NO3(s) N2O(g) + 2 H2O(g) H = 37.0 kJ Some special Enthalpy Standard enthalpy change of a reaction: determined at a stardard condition ( 25℃/298K & 100KPa) Symbol: Unit: KJ Enthalpy change of formation:the energy change upon the formation of 1 mol of a substance from its constituent elements in their standard state. Symbol : Unit: KJ/mol Enthalpy of Formation, ΔHf Also known as “heat of formation” ΔHf Definition: Enthalpy change associated with the formation of a compound from its constituents Example: “formation” of methane (CH4) Constituents = C and H C + 2H2 CH4 ---------------Like any reaction, this “formation” reaction involves energy (enthalpy of reaction) The enthalpy of the “formation reaction” is the “enthalpy of formation.” Standard Enthalpy of Formation, ΔHf° Balanced thermochemical equations are written to depict the formation of one mole of compound from elements (in their most stable form): 2C(graphite) + 3 H2(g) + ½ O2(g) C2H5OH(l) ΔHf° = -277.7 kJ 6C(graphite) + 6H2(g) + 3O2(g) C6H12O6(s) ΔHf° = -1273.02 kJ Standard Enthalpy of Formation, ΔHf° Standard enthalpies of formation Given for 1 mole of product from its constituents at a “standard state” (atmospheric pressure, 1 atm) and 298 K (25 °C) Standard Enthalpies of Formation, Hf° Standard enthalpies of formation, Hf°, are measured under standard conditions (25 °C and 1.00 atm pressure). Practice Write the equation describing the formation of propane (C3H8) gas and indicate its heat of formation Using to find H C3H8 (g) + 5 O2 (g) 3 CO2 (g) + 4 H2O (l) H = nHf°products – mHf° reactants Hf° [CO2, g] = Hf° [H2O, l] = Hf° [C3H8] = Hf° [O2] = H = QUESTION Calculate the enthalpy change of reaction using the data of Enthalpy Change of Combustion is the heat evolved upon the complete combustion of 1 mol of substance (Datatable 13) Symbol: Unit: KJ/mol The negative enthalpy change indicates an exothermic reaction so the value would be included on the product side Using to find H Can we test the enthalpy change of combustion? S Questions Why do you think the lab can be used to test the energy of comubstion? Which evidence can indicate the Change of temperature Temperature Changes Why is a temperature change of 1 °C equal to that of 1 degree K? Is a ΔT of 1 °C equal to a change of 1 °F? Any other factors will influence the change of the tempertature? The amount of water The type of solution Specific Heat Capacity The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity of 1 gram of the substance. Unit: J/g K Specific Heat Capacity 1. Which of the substances in the table changes temperature the most when the same amount of heat is applied to an equal mass of each substance? 2. Which substance changes temperature the least with the same heat? Conclusion is responding to The change of the temperature The type of solution(Water) The amount of water(mass) Formula Q C m T units of each variable? C: J/g/K m: g T : K Q: ? Question What is the specific heat of water if it takes 4.184 J to raise the temperature of 1 gram of water from 14 to 15 °C? 1. 4.184 J/g.K 2. 4.184 J/mol.K 3. 2.092 J/g.K 4. 2.092 J/mol.K Calculate the with the given data Using data table 13 to compare the ideal with the experimental one, and calculate the Error%(keep 2 decimal places) Compare with the data table Not all the heat produced by the reactions is transferred to the new water The combustion of alcohol is not complete owing to limited oxygen being available Not standard conditions The container is used in testing the enthalpy change(H) of any exothermic or endothermic reaction. Enthalpy change of Neutralization We all know that neutralizaiton is and reaction with exothermic change. Can we measure the enthalpy change of a neutralization reaction? Coffee-cup Calorimeter Things to keep in mind In calorimetry experiments, you must have clear in your mind: What is your system? What are your surroundings? You are measuring changes in energy of your system indirectly by measuring changes in the temperature of your surroundings ■ When calculating the heat Q, make sure to use the mass and specific heat capacity of your surrounding material . Then relate this heat to the reaction taking place in your system. Question A 5.00-g sample of substance X is burned in a calorimeter whose heat capacity is 5.00 kJ/ °C. The temperature increased from 23.0 to 25.0 °C. Calculate the heat produced by the combustion of this sample. 1. -10.0 kJ 2. -10.0 J 3. 2.00 kJ 4. -2.00 kJ 5. -50.0 kJ Some more things to consider The coffee cup calorimeter the measured change in enthalpy for a reaction will always be lower than the actual value, why?(systematic errors) Hess’ Law S Hess’ Law Remember: enthalpy is a state function Hess’ Law: If a reaction is carried out in a series of steps, ΔH for the overall reaction equals the sum of the enthalpy changes for the individual steps Practice Problem – Hess’ Law How can we calculate the enthalpy change for the reaction, 2 H2(g) + N2(g) → N2H4(g) using these equations ? 3H2(g) + N2(g) → 2NH3(g) N2H4(g) + H2(g) → 2 NH3(g) ΔH = -92.2 kJ ΔH = -187.6 kJ Clicker Question Carbon occurs in two forms: as graphite and diamond. Knowing this: Cgraphite + O2(g) CO2(g) ΔH = -393.5 kJ Cdiamond + O2(g) CO2(g) ΔH = -395.4 kJ Calculate ΔH for Cgraphite Cdiamond 1. - 788.0 kJ 2. - 1.9 kJ 3. + 1.9 kJ Extra Credit Problem What is the energy of reaction for the following process: 6A + 9B + 3D + F → 2G Given that: C → A + 2B ∆H = 20.2 kJ/mol 2C + D → E + B ∆H = 30.1 kJ/mol 3E + F → 2G ∆H = -80.1 kJ/mol You must show every single step and explain what you are doing. You must show the units for any numerical value. Any deviation will result in NO POINTS WHATSOEVER. The presentation (look) of your work will also be graded. Let’s begin to show professionalism. No strikethroughs, no broken pieces of paper, no other stuff in the page, answers clearly displayed. Hess’ Law FYI: Tables exist which list enthalpies of: ■ ■ ■ ■ ■ Combustion Vaporization Fusion (melting) Formation etc. These can be used together with Hess’ law to determine the heat associated with a specific process. Calculating Enthalpies of Reaction for Enthalpies of Formation We can use Hess’s law to calculate heats of reaction from heats of formation: HRxn = nHf°products – mHf° reactants where n and m are the stoichiometric coefficients Calculating Enthalpies of Reaction C3H8 (g) + 5 O2 (g) 3 CO2 (g) + 4 H2O (l) Bond Enthalpies Starter activity Can you write equations for the ΔHθc of glucose (C6H12O6)? Bond breaking and bond making Chemical reactions involve bond breaking and bond making. Bond energy The quantity of energy needed to break a particular bond in a molecule is called the bond dissociation enthalpy (H diss), or bond enthalpy for short. It refers to the enthalpy change when one mole of bonds of the same type are broken in gaseous molecules under standard conditions. Bond energy H – H (g) H(g) + H(g) Bond Number broken Number formed Average Molar Bond Enthalpy kJ mol-1 C-C 1 0 +347 C-H 5 0 +413 C-O 1 0 +358 O-H 1 6 +464 O=O 3 0 +498 C=O 0 4 +805 Here bond enthalpies are defined endothermically. Bond breaking: Total endothermic value = (+347 x 1) + (+413 x 5) + (+358 x 1) + (+464 x 1) + (+498 x 3) = +4728 kJ Bond making: Total exothermic value = (-464 x 6) + (-805 x 4) = -6004 kJ Sum total of bond breaking and bond making: Hc = +4728 + - 6004 = -1276 kJ mol-1 Standard enthalpy change of formation, ΔHθf, 298 is the enthalpy change when 1 mole of a compound is formed from its elements under standard conditions (100kPa and 298K), all reactants and products being in their standard states. Standard enthalpy change of combustion, ΔHθc,298 is the enthalpy change when 1 mole of a substance is burned completely in oxygen under standard conditions (100kPa and 298K), all reactants and products being in their standard states.