Transcript Hess’s Law
Hess’s Law Start Finish A State Function: Path independent. Both lines accomplished the same result, they went from start to finish. Net result = same. 1 Determine the heat of reaction for the reaction: 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) Using the following sets of reactions: N2(g) + O2(g) 2NO(g) H = 180.6 kJ N2(g) + 3H2(g) 2NH3(g) H = -91.8 kJ 2H2(g) + O2(g) 2H2O(g) H = -483.7 kJ Hint: The three reactions must be algebraically manipulated to sum up to the desired reaction. and.. the H values must be treated accordingly. 2 Goal: 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) Using the following sets of reactions: N2(g) + O2(g) 2NO(g) H = 180.6 kJ N2(g) + 3H2(g) 2NH3(g) H = -91.8 kJ 2H2(g) + NH3: O2 : NO: H2O: O2(g) 2H2O(g) H = -483.7 kJ Reverse and x 2 4NH3 2N2 + 6H2 H = +183.6 kJ Found in more than one place, SKIP IT (its hard). x2 x3 2N2 + 2O2 4NO 6H2 + 3O2 6H2O H = 361.2 kJ H = -1451.1 kJ 3 Goal: 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) NH3: Reverse and x2 4NH3 2N2 + 6H2 H = +183.6 kJ O2 : Found in more than one place, SKIP IT. NO: x2 2N2 + 2O2 4NO H = 361.2 kJ H2O: x3 6H2 + 3O2 6H2O H = -1451.1 kJ Cancel terms and take sum. 4NH3 + 5O2 4NO + 6H2O H = -906.3 kJ Is the reaction endothermic or exothermic? 4 Determine the heat of reaction for the reaction: C2H4(g) + H2(g) C2H6(g) Use the following reactions: C2H4(g) + 3O2(g) 2CO2(g) + 2H2O(l) H = -1401 kJ C2H6(g) + 7/2O2(g) 2CO2(g) + 3H2O(l) H = -1550 kJ H2(g) + 1/2O2(g) H2O(l) H = -286 kJ Consult your neighbor if necessary. 5 Determine the heat of reaction for the reaction: Goal: C2H4(g) + H2(g) C2H6(g) H = ? Use the following reactions: C2H4(g) + 3O2(g) 2CO2(g) + 2H2O(l) H = -1401 kJ C2H6(g) + 7/2O2(g) 2CO2(g) + 3H2O(l) H = -1550 kJ H2(g) + 1/2O2(g) H2O(l) H = -286 kJ C2H4(g) :use 1 as is C2H4(g) + 3O2(g) 2CO2(g) + 2H2O(l) H = -1401 kJ H2(g) :# 3 as is H2(g) + 1/2O2(g) H2O(l) H = -286 kJ C2H6(g) : rev #2 2CO2(g) + 3H2O(l) C2H6(g) + 7/2O2(g) H = +1550 kJ C2H4(g) + H2(g) C2H6(g) H = -137 kJ 6 Summary: enthalpy is a state function and is path independent. 7 8 Standard Enthalpies of formation: The standard enthalpy of formation is a measure of the energy released or consumed when one mole of a substance is created under standard conditions from its pure elements. The symbol of the standard enthalpy of formation is ΔHof. Δ = A change in enthalpy o = A degree signifies that it's a standard enthalpy change. f = The f indicates that the substance is formed from its elements An important point to be made about the standard enthalpy of formation is that when a pure element is in its standard form its standard enthalpy formation is zero. 9 The equation for the standard enthalpy change of formation, shown below, is commonly used: ΔHoreaction=∑ΔHof(products)−∑ΔHof(Reactants) This equation essentially states that the standard enthalpy change of formation is equal to the sum of the standard enthalpies of formation of the products minus the sum of the standard enthalpies of formation of the reactants. 10 Given a simple chemical equation with the variables A, B and C representing different compounds: A+B⇋C and the standard enthalpy of formation values: •ΔHfo[A] = 433 KJ/mol •ΔHfo[B] = -256 KJ/mol •ΔHfo[C] = 523 KJ/mol the equation for the standard enthalpy change of formation is as follows: ΔHreactiono = ΔHfo[C] - (ΔHfo[A] + ΔHfo[B]) ΔHreactiono = (1 mol)(523 kJ/mol) - ((1 mol)(433 kJ/mol) + (1 mol)(-256 kJ/mol)) Because there is one mole each of A, B and C, the standard enthalpy of formation of each reactant and product is multiplied by 1 mole, which eliminates the mol denominator: ΔHreactiono = 346 kJ The result is 346 kJ, which is the standard enthalpy change of formation for the creation of variable "C". 11 Calculate the ΔHreactiono for the formation of NO2(g). NO2(g) is formed from the combination of NO(g) and O2(g) in the following reaction: 2NO(g)+O2(g)⇋2NO2(g) To find the ΔHreactiono, use the formula for the standard enthalpy change of formation: ΔHoreaction=∑ΔHof(products)−∑ΔHof(Reactants) The relevant standard enthalpy of formation values from the data table are as follows: •O2(g): 0 kJ/mol •NO(g): 90.25 kJ/mol •NO2(g): 33.18 kJ/mol Plugging these values into the formula above gives the following: ΔHreactiono= (2 mol)(33.18 kJ/mol) - ((2 mol)(90.25 kJ/mol) + (1 mol)(0 kJ/mol)) ΔHreactiono =-114.14kJ 12 Homework: Page 324 #1-6 13 Thermodynamic Quantities of Selected Substances @ 298.15 K 14