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Thermochemistry Heat and Chemical Change
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Thermochemistry The study of the changes in heat energy that accompany chemical reactions and physical changes
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Exothermic and Endothermic Processes
In studying heat changes of chemical reactions, think of these two parts: the reactants the products
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Exothermic and Endothermic
Every chemical reaction has an energy change associated with it Exothermic reactions release energy, usually in the form of heat. Endothermic reactions absorb energy in the form of heat.
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Thermochemical Equation
An equation that includes the quantity of energy released or absorbed as heat during a reaction. CH4 (g) + 2O2 (g) ® CO2 (g) + 2H2O (g) kJ This combustion reaction gives off kJ of energy (energy on the product side) – Exothermic Reaction
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2H2O (g) kJ ® 2H2 (g) + O2 (g) Energy that appears on the reactant side of the equation is absorbed during the reaction. Endothermic Reaction
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Exothermic The products are lower in energy than the reactants
Reaction releases energy
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C + O2 ® CO2 + 395 kJ Energy Reactants Products C + O2 395kJ C O2
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Endothermic The products are higher in energy than the reactants
Reaction absorbs energy
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CaCO3 + 176 kJ ® CaO + CO2 CaCO3 ® CaO + CO2 Energy Reactants Products
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Thermochemical Reaction
q = H The energy released or absorbed as heat during a chemical reaction is represented by H Enthalpy = H H is negative for an exothermic reaction (loses energy) H is positive for an endothermic reaction (gains energy)
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Summary, so far...
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Enthalpy Symbol is H Change in enthalpy is DH (delta H)
If heat is released, the heat content of the products is lower DH is negative (exothermic) If heat is absorbed, the heat content of the products is higher DH is positive (endothermic)
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Exothermic Reaction Energy Change is down DH is <0 Reactants ®
Products Reactants Products
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Endothermic Reaction Energy Change is up DH is > 0 Reactants ®
Products Energy Change is up DH is > 0 Reactants Reactants Products
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Heat of Reaction The heat that is released or absorbed in a chemical reaction Equivalent to DH C + O2(g) ® CO2(g) kJ C + O2(g) ® CO2(g) DH = kJ In thermochemical equation, it is important to indicate the physical state H2(g) + 1/2O2 (g)® H2O(g) DH = kJ H2(g) + 1/2O2 (g)® H2O(l) DH = kJ
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Calculating Heat of Reaction
Methods: 1) Doing it yourself (calorimetry) 2) Refer to published tables 3) Using standard heats of formation; DHf 4) Hess’s Law
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Calorimetry Calorimetry – The energy absorbed or released as heat (q) in a chemical reaction is measured in a calorimeter. q(reaction) + q(solution) = 0 (Cp)(mass) (DT) + (Cp)(mass) (DT) = 0
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Suppose you place grams of magnesium chips in a calorimeter and then add mL of 1.00 M HCl. The temperature of the solution increases from K to K. What is the enthalpy change for the reaction. The specific heat capacity of the solution is 4.20 J/g•K and the density of HCl is 1.00 g/mL
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q(reaction) + q(solution) = 0
Mg HCl ® H2 + MgCl2 q(solution) = (Cp)(mass) (DT) q(solution) = (100g g) (4.20) (297.6 – 295.4) = 945 J q(reaction) + q(solution) = 0 q(reaction) J = 0 q(reaction) = J
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Using Standard Heats of Formation
You can calculate the heats of reaction (DH) using heats of formation data. Heats of formation are heat changes for the formation of a substance from its elements. Symbol is DHf The standard heat of formation of an element, DHf = 0 This includes the diatomic elements Must use the compound in correct state (g, l or s)
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Thermochemical Equations
A enthalpy change, H, is the heat change for the reaction from reactants to products. H = Hproducts – H reactants
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What good are they? DHo DHf (Products) - DHf (Reactants) =
Standard heats of formation for some compounds are listed in tables. The heat of a reaction can be calculated by: subtracting the heats of formation of the reactants from the products DHo DHf (Products) - DHf (Reactants) =
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Example 1 CH4(g) + 2 O2(g) ® CO2(g) + 2 H2O(g) CH4 (g) DHf = kJ/mol O2(g) DHf = 0 kJ/mol CO2(g) DHf = kJ/mol H2O(g) DHf = kJ/mol DH= [ (-241.8)] - [ (0)] DH= kJ
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Example 2 C3H5(NO3)3 DHf = - 364 kJ/mol O2(g) DHf = 0 kJ/mol
2C3H5(NO3)3 ® 3N2 + ½ O2(g) + 6CO2(g) + 5 H2O(g) C3H5(NO3) DHf = kJ/mol O2(g) DHf = 0 kJ/mol N2(g) DHf = 0 kJ/mol CO2(g) DHf = kJ/mol H2O(g) DHf = kJ/mol DH= [6(-393.5) + 5(-241.8)] - [2(-364)] DH= kJ
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Example 3 C6H5(l) DHf = + 49.0 kJ/mol O2(g) DHf = 0 kJ/mol
C6H5 (l) /2 O2(g) → 6 CO2(g) + 3 H2O(l) C6H5(l) DHf = kJ/mol O2(g) DHf = 0 kJ/mol CO2(g) DHf = kJ/mol H2O(l) DHf = kJ/mol DH= [6(-393.5) + 3(-285.8)] - [+ 49.0] DH= kJ
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Hess’s Law The overall enthalpy change in a reaction is equal to the sum of enthalpy changes for the individual steps in the reaction.
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Why Does It Work? If you turn an equation around, you change the sign:
If H2(g) + ½ O2(g) ® H2O(l) DH= kJ then, H2O(l) ® H2(g) + ½ O2(g) DH = kJ also, If you multiply the equation by a number, you multiply the heat by that number: 2 H2O(l) ® 2 H2(g) + O2(g) DH = kJ
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Example C(s) + 2 H2(g) ® CH4(g) DH= ? C(s) + O2(g) ® CO2(g)
DH = kJ/mol H2 (g)+ ½ O2(g) ® H2O(l) DH = kJ/mol CH4 (g)+ 2O2(g) ® CO2 + 2H2O(l) DH = kJ/mol Because CH4 appears on the product side of our original reaction we must reverse the reaction and the value of DH CO2 + 2H2O(l) ® CH4 (g)+ 2O2(g) DH = kJ/mol
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Example C(s) + 2 H2(g) ® CH4(g) DH= ? C(s) + O2(g) ® CO2(g)
DH = kJ/mol H2 (g)+ ½ O2(g) ® H2O(l) DH = kJ/mol CO2 + 2H2O(l) ® CH4 (g)+ 2O2(g) DH = kJ/mol Since there are 2 moles of hydrogen used as a reactant, and there is only 1 mole in equation 2, we must multiply the hydrogen reaction and DH value by 2.
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Example C(s) + 2 H2(g) ® CH4(g) DH= ? C(s) + O2(g) ® CO2(g)
DH = kJ/mol 2H2 (g)+ O2(g) ® 2H2O(l) DH = kJ/mol CO2 + 2H2O(l) ® CH4 (g)+ 2O2(g) DH = kJ/mol Now add the three equations together cancelling out compounds that appear on both sides of the equation.
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C(s) + 2 H2(g) ® CH4(g) DH◦ = -74.3 KJ/mole
Example C(s) + O2(g) ® CO2(g) DH = kJ/mol 2H2 (g)+ O2(g) ® 2H2O(l) DH = kJ/mol CO2 + 2H2O(l) ® CH4 (g)+ 2O2(g) DH = kJ/mol C(s) + 2 H2(g) ® CH4(g) DH◦ = KJ/mole
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Problem Use Hess’s law to calculate the enthalpy change for the formation of CS2 from C and S: (C + 2S → CS2) C + O2 → CO = KJ/mole S + O2 → SO2 DH = KJ/mole CS2 + 3O2 → CO SO DH = KJ/mole DH
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(C + 2S → CS2) C + O2 → CO2 DH = - 393.5 KJ/mole
S + O2 → SO2 DH = KJ/mole CS2 + 3O2 → CO SO DH = KJ/mole Strategy: Equation 2: Double the moles and enthalpy value. Equation 3: Reverse the reaction and the sign of the enthalpy.
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(C + 2S → CS2) C + O2 → CO2 DH = - 393.5 KJ/mole
2S + 2O2 → 2SO2 DH = KJ/mole CO SO2 → CS2 + 3O DH = KJ/mole C + 2S → CS DH = KJ/mole
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