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Thermochemistry Unit 7 Energy is the capacity to do work • Thermal energy is the energy associated with the random motion of atoms and molecules • Chemical energy is the energy stored within the bonds of chemical substances • Nuclear energy is the energy stored within the collection of neutrons and protons in the atom • Electrical energy is the energy associated with the flow of electrons • Potential energy is the energy available by virtue of an object’s position 6.1 Energy Changes in Chemical Reactions Heat is the transfer of thermal energy between two bodies that are at different temperatures. Temperature is a measure of the thermal energy. Temperature = Thermal Energy 900C A Video – Eureka! 400C greater thermal energy Thermochemistry is the study of heat change in chemical reactions and changes of state (physical changes) The system is the specific part of the universe that is of interest in the study. SURROUNDINGS SYSTEM open Exchange: mass & energy closed isolated energy nothing 6.2 Exothermic process is any process that gives off heat – transfers thermal energy from the system to the surroundings. 2H2 (g) + O2 (g) H2O (l) 2H2O (l) + energy H2O (s) + energy Endothermic process is any process in which heat has to be supplied to the system from the surroundings. energy + 2HgO (s) energy + H2O (s) 2Hg (l) + O2 (g) H2O (l) Exothermic and Endothermic Videos Mythbusters Exothermic Reaction Death of a Gummy Bear The Most Common Endothermic Reaction Enthalpy (H) is used to quantify the heat flow into or out of a system in a process that occurs at constant pressure. DH = H (products) – H (reactants) DH = heat given off or absorbed during a reaction at constant pressure Hproducts < Hreactants DH < 0 Hproducts > Hreactants DH > 0 6.3 Thermochemical Equations Is DH negative or positive? System absorbs heat Endothermic DH > 0 6.01 kJ are absorbed for every 1 mole of ice that melts at 00C and 1 atm. H2O (s) H2O (l) DH = 6.01 kJ Thermochemical Equations Is DH negative or positive? System gives off heat Exothermic DH < 0 890.4 kJ are released for every 1 mole of methane that is combusted at 250C and 1 atm. CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (l) DH = -890.4 kJ Drawing Enthalpy Diagrams Draw the energy diagram & thermochemical equation for the following reactions: 4 H2 + 2 O2 4 H2O + 2H2O(g) + 116 kcal → 2H2(g) + O2(g) 967.2kJ The MATH of Thermochemical Equations How much heat is evolved when 266 g of white phosphorus (P4) burn in air? P4 (s) + 5O2 (g) P4O10 (s) DH = -3013 kJ 6470kJ The MATH of Thermochemical Equations How much heat is absorbed when 32.5g of O2(g) is reacted with N2 (g)? N2(g) + 2 O2(g) ----> 2 NO2(g) ΔH = +67.6 kJ Introduction to Specific Heat and Heat Capacity What is specific heat? How is heat capacity different? How do we measure the specific heat of substances? How do we calculate specific heat and heat capacity? The specific heat (s) of a substance is the amount of heat (q) required to raise the temperature of one gram of the substance by one degree Celsius. (specific amount) The heat capacity (C) of a substance is the amount of heat (q) required to raise the temperature of a given quantity (m) of the substance by one degree Celsius. (general amount) Heat (q) absorbed or released: q = msDt Dt = tfinal - tinitial 6.4 A quick Video A simulation How much heat is given off when an 869 g iron bar cools from 940C to 50C? s of Fe = 0.444 J/g • 0C = -34,000 J Multiple Methods to Calculate ΔH Heats of Formation Calorimetry Hess’s Law Because there is no way to measure the absolute value of the enthalpy of a substance, must I measure the enthalpy change for every reaction of interest? Standard enthalpy of formation (DH0f) is the heat change that results when one mole of a compound is formed from its elements at a pressure of 1 atm. The standard enthalpy of formation of any element in its most stable form is zero. DH0f (O2) = 0 6.5 0 ) is the enthalpy of The standard enthalpy of reaction (DHrxn a reaction carried out at 1 atm. aA + bB cC + dD DH0rxn = [ cDH0f (C) + dDH0f (D) ] - [ aDH0f (A) + bDH0f (B) ] DH0rxn = S nDH0f (products) - S mDHf0 (reactants) Example What is the ΔH of the following reaction using Heats of Formation? Zn + 2AgNO3 → Zn(NO3)2 + 2Ag Benzene (C6H6) burns in air to produce carbon dioxide and liquid water. How much heat is released per mole of benzene combusted? The standard enthalpy of formation of benzene is 49.04 kJ/mol. 2C6H6 (l) + 15O2 (g) 12CO2 (g) + 6H2O (l) = - 2973 kJ/mol C6H6 Hess’s Law: When reactants are converted to products, the change in enthalpy is the same whether the reaction takes place in one step or in a series of steps. (Enthalpy is a state function. It doesn’t matter how you get there, only where you start and end.) 6.5 From the following data, CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) ΔHo = -890 kJ/mol H2O(l) → H2O(g) Δ Ho = 44 kJ/mol Calculate the enthalpy of the reaction CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(g) Δ Ho = ? Calculate the standard enthalpy of formation of CS2 (l) given that: C(graphite) + O2 (g) CO2 (g) DH0rxn = -393.5 kJ S(rhombic) + O2 (g) CS2(l) + 3O2 (g) SO2 (g) DH0rxn = -296.1 kJ CO2 (g) + 2SO2 (g) C(graphite) + 2S(rhombic) 0 = -1072 kJ DHrxn CS2 (l) Spontaneous Processes • Spontaneous: process that does occur under a specific set of conditions • Nonspontaneous: process that does not occur under a specific set of conditions Copyright McGraw-Hill 2009 Spontaneous vs Nonspontaneous Why would an endothermic reaction happen spontaneously? Entropy • Entropy (S): Can be thought of as a measure of the disorder of a system • In general, greater disorder means greater entropy Entropy in Action Entropies Trends in Entropy • Entropy for gas phase is greater than that of liquid or solid of same substance – I2 (g) has greater entropy than I2 (s) • More complex structures have greater entropy – C2H6 (g) has greater entropy than CH4 (g) • Spure < Saqueous Slower temp < Shigher temp • Sfewer moles < Smore moles Entropy Changes in a System Qualitative Determine the sign of DS for the following 1. 2. 3. 4. Liquid nitrogen evaporates Salt is dissolved in water. Liquid water is heated from 22.5 C to 55.8 C Water condenses on outside of bottle Entropy Changes in the System Entropy can be calculated from the table of standard values just as enthalpy change was calculated. DSrxn = SnDS products SmDS reactants Standard Entropy 2NH3(g) N2(g) + 3H2(g) DSrxn = 198.5 J/K · mol Your Turn! • Calculate the standard entropy change for the following using the table of standard values. (first, predict the sign for DS qualitatively) 2H2(g) + O2(g) 2H2O (g) Gibbs Free Energy DG = DH – T DS • The Gibbs free energy, expressed in terms of enthalpy and entropy, refers only to the system, yet can be used to predict spontaneity. Gibbs Free Energy • If DG < 0,negative, the forward reaction is spontaneous. • If DG = 0, the reaction is at equilibrium. • If DG > 0, positive, the forward reaction is nonspontaneous Predicting Sign of DG