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Calendar 13-14 M 1/27 Sec 10.1-3:Thermodym, Phase D
B-1 1/29 Sec 10.3: Calorim, DHfo, Hess Law B-1 1/31 Lab M 2/3 Sec Entropy and DS B-1 2/5 Quiz DH, DS Sec 11.3: DG, Equil temp calcs B-2 2/7 Review M 2/10 Test
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Calendar 14-15 B-2 1/23-4 Sec 10.1-3:Thermodym Intro
M 1/26 Sec /11.3: Calorim, Phase D Demo lab w/ phase thermodynamics B-1 1/27-8 Sec 10.3 Calcs of DH DHfo, Hess Law B-2 1/29-30 Quiz, Rev of DH calcs, M = B-1 2/2-3 Lab Hess Wed 2/4 Sec Entropy and DS, DG B-2 2/5-6 Quiz DS, DG: Review M 2/9 Test
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Driving Forces What causes chemical reactions to occur?
Nature drives things toward lower energy Enthalpy = total energy content of a system Nature likes things to be random, or more disorganized Entropy = disorder in a system
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Entropy = S A measure of the disorder in a system
Which has a greater entropy A chess board before the 1st move or in the middle of a game A jigsaw puzzle that is put together, or the same puzzle unassembled in its box Humpty Dumpty before or after his tragedy Nature tends to move spontaneously to a more disorganized state
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Thermodynamics Study of energy, heat, and its flow
Energy = ability to do work Push or pull a mass Heat = q = a form of energy Heat content is a measure of total Ek in a substance Temp = meas of average movement (Ek) Temp and Ek are directly relation Ek = ½mv2 Temp diff determines direction of heat flow
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System vs. Surrounding System = reaction or process you are examining
Surroundings = rest of the universe Energy is exchanged between the system and the surroundings Endothermic vs Exothermic reactions Diagrams follow
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Enthalpy = H The total energy content of a system
Sum Ek + Ep Cannot be measured Can meas Ek but not Ep Ek = ½mv2 Can determine the change in heat content of a system = DH Change in Enthalpy = DH = Hprod-Hreact
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Thermochemical Equation
Exothermic CH4(g) + 1½O2(g) CO2(g) + H2O(g) KJ CH4(g) + 1½O2(g) CO2(g) + H2O(g) DH = -890 KJ Endothermic 483.6 KJ + H2O(g) H2(g) + O2(g) H2O(g) H2(g)+ O2(g) DH = KJ Thermo chemical equation show the reactants and product with the energy change that occurs
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Endothermic Rx Cure
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Exothermic Rx Cure
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Calorimetry The measurement of heat flow = DH
We can catch the energy going into or out of a system Use a calorimeter Highly insulated device used to measure the amount of heat moving into or out of the system Water is usually used in the cal is used to absorb energy from, or give off energy to the system
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Heat Capacity = Cp To measure heat flow into or out of the system we must know how much heat the material in the calorimeter can hold Called heat capacity Unique for each substance Specific Heat Capacity = Cp Amount heat (q) required to increase the temp of 1 g of a subst 1˚C Water has a HUGE heat capacity Units of J/g°C or J/g K
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Coffee Cup Calorimeter
qH2O = mH2O x DTH2O x CpH2O qH2O = DH = energy absorbed or given off by the water in the calorimeter mH2O = mass (g) of the water 1 mL H2O = 1 gram H2O DTH2O = change in temp Tfinal – Tinitial Cp = specific ht capacity of the water in the calorimeter CpH2O = 4.18 J/g˚C
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Sample Problem 1. A reaction occurs in a calorimeter that contains g of water. If the temp of the water goes from 25.0°C to 55.0°C, calculate the energy exchanged.
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q(H2O) = m(H2O) x Dt(H2O) x 4.18 J/g⁰C
How much energy is needed to increase the temperature of 50.0 g of water 15.0⁰C? How much energy (joules) is needed to increase the temp of mL water from 40.0⁰C to 60.0⁰C? Haw many grams of water can be heated from 20.0⁰C to 75⁰C using Joules? A mL sample of water, at 20.5 ⁰C, absorbs 9985 J of energy. Determine the final temp of the water.
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q = m x (tf – ti) x 4.18 J/g⁰C q = (tf – ti) m x 4.18 J/g⁰C q
A mL sample of water, at 20.5 ⁰C, absorbs 9985 J of energy. Determine the final temp of the water. q = m x (tf – ti) x 4.18 J/g⁰C q = (tf – ti) m x 4.18 J/g⁰C q + ti = tf
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q of the Reaction The heat lost by the reaction is gained by the H2O in the calorimeter Calc q for the water in the calorimeter. The value of DHrx for the reaction is = to –qH2O -qH2O = qrx = DHrx
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Sample Problem A reaction is carried out in a coffee cup calorimeter that contains g of water at 23.5˚C. If the final temp of the water becomes 20.0˚C, determine the value of DH for the reaction. qH2O = mH2O x DTH2O x CpH2O = g x (20.0˚C – 23.5˚C) x 4.18 J/g˚C = x 103J DHrx = -qH2O = x 103 J or KJ
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Sample Problem An acid and a base are mixed in a coffee-cup calorimeter. The calorimeter contains mL of water at 22.0˚C. A neutralization reaction occurs that increased the temp to 28.0˚C. What is DH for the reaction? qH2O = mH2O x DTH2O x CpH2O = g x (28.0˚C – 22.0˚C) x 4.18 J/g˚C = 3.34 x 103 J or 3.34 KJ DHrx = -qH2O = x 103 J or -3.34KJ
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Calculation of C Can calc the value of C for any substance through calorimetry Heat the metal in a hot water bath and drop it in calorimeter: the heat picked up from the metal goes into the water Use the calorimetry equation to determine the amount of energy transferred by the substance qH2O = -qPb = mPb x DTPb x CpPb
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A 90.0 g sample of metal is placed in a calorimeter
that contains g of water at 25.5˚C. If the temp of the water increases to 37.5 ˚C, determine the Amount of energy transferred in the process. Hint: q(H2O) = m (H2O) x Dt (H2O) x C (H2O) and Dt (H2O) = (tf – ti)
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Phase Changes Chap 11.3 Solid Liquid Gas
Blue = endo Red = exo sublimation fusion vaporization Solid Liquid Gas crystallization condensation deposition Each phase change requires a specific amount of energy Molar Heat of fusion water = 6.01 KJ/mol Molar Heat vaporization water = 40.7 KJ/mol What are the molar heats of condensation and crystallization???
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Lab Demo Heat Fusion Ice
How much energy does it take to melt a gram of ice? A mole of ice? Place ice in warm water in a coffee-cup calorimeter Measure 1- temp change for water in calorimeter (Dt) 2- how many grams (or mole)
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Phase Change Sample Problem
How much energy is required to melt 27.0 g of ice at 0°C? q = molesH2O x Molar Ht FusionH2O Mol Htfus = 6.01 KJ/mol Hint: 1 - calc the moles of water (mol=g/mm) 2 - multiply moles times 6.01 KJ/mol 27.0 g H2O = mol H2O 18.0 g/mol H2O q = 1.50 mol water x KJ = 9.01 KJ of is needed 1 mol water
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Phase Change Sample Problem
How much energy is required to increase the temp of 27.0 g of water from zero to degrees C? q(H2O) = m (H2O) x Dt (H2O) x C (H2O) = 27.0 g x 100.0°C x 4.18 J/g°C = J = KJ
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Phase Change Sample Problem
How much energy is required to vaporize 27.0 g of water to steam, at 100.0°C? q = molesH2O x Molar Ht VapH2O Mol Htvap = 40.7 KJ/mol Hint: - 1 calculate the moles of water (mol=g/mm) - 2 multiply moles times 40.7 KJ/mol 27.0 g H2O = mol H2O 18.0 g/mol H2O q = 1.50 mol water x KJ = 61.1 KJ 1 mol water
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Phase Change Sample Problem
How much energy is required to take 27.0 g of ice at 0°C and change it to steam at °C? q = molesH2O x Molar Ht FusionH2O qH2O = mH2O x DTH2O x CpH2O q = molesH2O x Molar Ht VapH2O = 9.1 KJ KJ KJ = 81.5 KJ
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Phase Change Sample Problem
How much energy is required to take 63.0 g of ice at 0°C and change it to steam at °C? q = molesH2O x Molar Ht FusionH2O (63.0/18.0) mol x 6.01 KJ/mol = q1 qH2O = mH2O x DTH2O x CpH2O 63.0 g x 100.0°C x 4.18 J/g°C = q2 q = molesH2O x Molar Ht VapH2O (63.0/18.0) mol x 40.7 KJ/mol = q3
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Phase Change Math Molar heats of Fusion (etc) are used to calc energy change for phase change, (at a constant temp). q = moles x Heat Fusion (etc) Calorimetry is used to calc energy exchanged went a substance temp increases qH2O = mH2O x DTH2O x CpH2O
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qsteam = msteam x DTsteam x Cpsteam
qH2O = molH2O x HvapH2O qH2O = mH2O x DTH2O x CpH2O qice = molice x Hfusice qice = mice x DTice x Cpice
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Phase Change Sample Problem
How much energy is given off when 27.0 g of steam condenses to water at 100.0°C? q = molesH2O x Molar Ht VapH2O Mol Htvap = 40.7 KJ/mol Hint: - 1 calculate the moles of water (mol=g/mm) - 2 multiply moles times 40.7 KJ/mol 27.0 g H2O = mol H2O 18.0 g/mol H2O q = 1.50 mol water x KJ = 61.1 KJ is given off 1 mol water
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3 Ways to Determine DH 1. Calorimetry . DH° = -qH2O 2. DH°f tables
3. Hess’s Law of Heat Summation Rules of thermodynamics
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Rules of Thermodynamics
DH is proportional to the amount of reactant or product Reverse reactions have opposite sign Hess’s Law of Heat Summation
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DH is proportional to the amount of Reactant or Product
Based on stoichiometric coefficients Must have a balanced thermochemical equation CH O CO H2O DH = -890 KJ How many KJ are given off by the complete combustion of 2 moles of CH4? 2 mol CH4 x KJ = KJ 1 mol CH4
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Sample Problem How many KJ of energy are produced by burning 1
Sample Problem How many KJ of energy are produced by burning 1.25 g of CH4 according to the rx: CH O CO H2O DH = -890 KJ How many KJ of energy are produced by burning 1.25 g of O2?
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Reverse Reactions DH for reverse reactions have the same value, but the opposite sign Reactants Products DH = (-) Products Reactants DH = (+)
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Reverse Reactions Have Opposite Signs on DH
CH O CO H2O DH = -890 KJ CO H2O CH O2 DH = +890 KJ
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Hess's Law of Heat Summation
In a multi-step reaction the sum of the DH values for all the steps equals DH for the overall reaction DH1 + DH2 = DH3 A + B --> C DH1 = -20 KJ B + C ---> D DH2 = -40 KJ A + 2B --> D DH3 = ? = -60 KJ
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Hess's Law of Heat Summation
Can use Hess's Law to measure DH for a reaction that is too hard to run in the lab C + ½O2 ---> CO DH1 = ? CO + ½O2 ---> CO2 DH2 = -283 KJ C + O2 ---> CO DH3 = -393 KJ DH1 + DH2 = DH3 DH1 = DH3 - DH2 DH1 = (-393 KJ) - (-283 KJ) = -110 KJ
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Use the following 2 equations to determine DH for the overall reaction: Sn (s) + 2 Cl2 (g) --- > SnCl4 (aq) Sn (s) + Cl2(g) ----> SnCl2(s) kJ/mol SnCl2 (s) + Cl2 (g) ----> SnCl4(aq) kJ/mol
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Mn (s) + 02 (g) ---> MnO2 (s)
MnO2 (s) + Mn (s) --- > 2 MnO (s) kJ 2 MnO2 (s) --- > 2 MnO (s) + 02 (g) kJ
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SnO2 (s) + 2H2 (g) --- > Sn (s) + 2 H20 (l)
Sn (s) + 02 (g) --- > SnO2 (s) kJ H2 (g) + ½ 02 (g) --- > H20 (l) kJ
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2 Mg (s) + SiCl4 (1) --- > Si (s) + 2 MgCl2 (s)
SiCl4 (l) --- > Si (s) + 2 Cl2 (g) kJ Mg (s) + Cl2 (g) --- > MgCl2 (s) kJ
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N2 + 2 H2 --> N2H4 H2 + ½ 02 --> H20 -242 kJ
N H20 --> N2H kJ
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CH > C H20 C + 2 H2 ---> CH kJ C + O > CO kJ H2 + ½ O > H2O kJ
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Find DH° for the reaction 2H2(g) + 2C(s) + O2(g) --> C2H5OH(l) using the following thermochemical data. C2H5OH (l) + 2 O2 (g) --> 2 CO2 (g) + 2 H2O (l) DH = kJ C (s) + O2 (g) --> CO2 (g) DH = kJ H2 (g) + ½ O2 (g) --> H2O (l) DH = kJ
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H2(g) + Br2(g) → 2 HBr(g) ΔH = −72 kJ
H2(g) → 2 H(g) ΔH = 436 kJ Br2(g) → 2 Br(g) ΔH = 224 kJ Calculate the enthalpy change for H(g) + Br(g) → HBr(g)
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Enthalpies of Formation = DHf° Cu(s) + Cl2(g) ---> CuCl2(s) DH = -220 KJ
The energy change DH⁰, when 1 mol of a substance is formed from its elements in their normal (standard) state (the ° means 25°C and normal pressure) Elements (including diatomic like H2, N2, Cl2) are arbitrarily assigned DHf° = 0 DHf° = a relative measure of how stable compounds are A (-) DHf° means compound is more stable than its elements A (+) DHf° means compound is less stable than its elements
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Enthalpies of Formation
DH°rx = SDHf°(products) - SDHf°(reactants) DHf° values are on table A-11 pg 833 They are used to calculate, NOT measure, the change in enthalpy, DH°, for a chemical reaction that is hard or impossible to carry out in the lab. Sample prob E pg 356 Do pract prob #1,2 pg 356
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Sample Problem Calculation DH° for the reaction:
C3H8(g) + 5O2 ---> 3CO2(g) + 4H2O(l) = DHf° KJ/mol DH°rx = SDHf°(products) - SDHf°(reactants) DH°rx = [3mol(-393.5)KJ/mol + 4 mol(-285.8)KJ/mol]- [1mol(-103.8)KJ/mol + 0] = KJ
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Entropy S Randomness or disorder in a system
Entropy is ever increasing Molar entropy is entropy possessed by 1 mole of a substance Nature favors increases in entropy Reactions that increase entropy occur more easily Elements have a value for entropy
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Entropy S = Randomness As temp entropy Sol Liq Gas entropy goes up
A solution has more entropy than its separate components NaCl water solution vs water and solid NaCl Reactions that produce more moles of gases increase entropy Is DS (+) or (-) for: C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(l) 2CH3OH(g) + 3O2(g) 2CO2(g) + 4H2O(g)
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Entropy Change = DS° Calculted in the same manner as DH°
DS°rx = SDS°(products) - SDS°(reactants) Sample prob F pg 361
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Calc DS° for: 2CH3OH(g) + 3O2(g) 2CO2(g) + 4H2O(g)
DS°J/molK = DS° = [2 mol (213.8KJ/molK) + 4 mol (188.7KJ/molK)] [2 mol (127.2 KJ/molK) + 3 mol (205.0 KJ/molK)] = 313 KJ/K Does the entropy change, DS, favor a spontaneous reaction or not???
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What determines if a reaction or process occurs spontaneously?
What energy change favors a spontaneous reaction? (-) change in energy What entropy change favors a spontaneous reaction? (+) positive change in entropy Neither DH or DS alone, can predict if a rx will be spontaneous
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Gibb's Free Energy = G Determines whether a reaction is spontaneous or not spontaneous at a specific temperature If DG is (-) reaction is spontaneous If DG is (+) reaction is NOT spontaneous If DG = 0 reaction is just beginning Called equilibrium
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Gibb's Free Energy = G Can be calculated in 2 ways
1-From free energy tables Must be at standard conditions to use: 25˚C and pressure at surface of the earth DG°rx = SDG°(products) - SDG°(reactants) 2-From DH and DS values at temperatures other than 25˚C DG = DH – TDS
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Gibb's Free Energy = G Calc DG˚ for H2(g) + CO2(g) H2O(g) + CO(g)
(KJ/mol) DG°rx = SDG°(products) - SDG°(reactants) = [1 mol (-228.6KJ/mol) + 1 mol (-137.2KJ/mol] – [0 + 1mol ( KJ/mol)] = 28.6 KJ Is the rx spontaneous???
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DG at Temp other than 25˚C Calc DG at 100˚C for the reaction:
H2(g) + CO2(g) H2O(g) + CO(g) DH DS DH˚ = [(1 x ) + (1 x )] – [(1 x ) + 0] = 41.2 KJ DS˚ = [(1 x 188.7) + (1 x 197.2)] – [(1 x 130.7) + (1 x 213.8)] = 41.4 J/K = KJ/K (Move decimal 3 places to convert J/K to KJ/K)
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DG = DH – TDS Is a reaction spontaneous at 100˚C if DH = 41.2 KJ and DS = 41.4 J/K DG = DH – TDS = 41.2KJ – ( K) KJ/K = 25.8 KJ is the reaction spontaneous?
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Determination of Equilibrium Temp
The temp (K) at which the rx just begins Equilibrium T = DH = KJ = 995 K DS KJ/K ºC = K or ºC = K – 273 995 – 273 = 722 ºC
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Gibb’s Free Energy At what temp does
H2O(l) H2O(g) becomes spontaneous DH = ( KJ/mol) – ( KJ/mol) = 44.0 KJ/mol DS = (188.7 J/mol K) – (70.0 J/mol K) = J/mol K T = DH = KJ/mol = 370 K DS KJ/mol K ºC = K - 273 = 370 K – 273 = 97 ºC
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Affects of Signs of DH and DG
If DH is (-) and DS is (+) Rx is always spontaneous If DH is (+) and DS is (-) Rx is never spontaneous If DH is (+) and DS is (+) Increase temp to make rx spontaneous If DH is (-) and DS is (-) Decreases temp to make rx spontaneous
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Initial water temp ºC final water temp ºC Change in water temp ºC Final water volume mL Initial water volume mL Volume of melt mL mass ice melted g Heat released by cooling water J J/g ice melted (heat of fusion) J/g kJ/mol ice melted (molar heat of fusion) kJ/mol
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How much energy is lost when 125
How much energy is lost when g of water in a calorimeter changes from 98.6°C to 18.9°C?
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CaO + CO2 --------> CaCO3 ΔHº = -178 kJ
CaO + H2O(l) > Ca(OH)2 ΔHº = -65 kJ Ca(OH)2 + CO > CaCO3 + H2O(l)
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SOCl2 + NiO --------> SO2 + NiCl2 150 kJ
SOCl2 + H2O > SO2 + 2HCl kJ NiO + 2HCl -----> NiCl2 + H2O(g)
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