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Thermochemistry Unit Section 16.2. Practice Problem #15:. a . H 2 O (g). H 2(s) + 1/2O 2(g) H 2 O (g) + 241.8 KJ. b . CaCl 2(s). Ca (s) + Cl 2(g) CaCl 2(s) + 795.4 KJ. c. CH 4(g). C (s) + 2H 2(g) CH 4(g) + 74.6 KJ. d . C 6 H 6(l). 6C (s) + 3H 2(g) + 49 KJ C 6 H 6(l).
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Practice Problem #15: a. H2O(g) H2(s) + 1/2O2(g) H2O(g) + 241.8 KJ b. CaCl2(s) Ca(s) + Cl2(g) CaCl2(s) + 795.4 KJ c. CH4(g) C(s) + 2H2(g) CH4(g) + 74.6 KJ
d. C6H6(l) 6C(s) + 3H2(g) + 49 KJ C6H6(l) e. Show the standard molar enthalpy of parts c) and d) using another method C(s) + 2H2(g) CH4(g)ΔHof= -74.6 KJ 6C(s) + 3H2(g) C6H6(l) ΔHof= +49 KJ
Na(s) + 1/2Cl2(g) reactants Enthalpy, H ΔH = -411.1 KJ NaCl(s) products Practice Problem #16: Draw an enthalpy diagram to represent the standard molar enthalpy of formation of sodium chloride. NaCl(s)ΔHof = -411.1 KJ/mol Exothermic Na(s) + 1/2Cl2(g) NaCl(s) + 411.1 KJ
Practice Problem #17: a. Ethane, C2H6(g) C2H6(g) + 7/2O2(g) 2CO2(g) + 3H20(l) + 1250.9 KJ b. Propane, C3H8(g) C3H8(g) + 5O2(g) 3CO2(g) + 4H20(l) + 2323.7 KJ c. Butane, C4H10(g) C4H10(g) + 13/2O2(g) 4CO2(g) + 5H20(l) + 3003.0 KJ c. Pentane, C5H12(l) C5H12(l) + 8O2(g) 5CO2(g) + 6H20(l) + 3682.3 KJ
C7H6(s) + 11O2(g) reactants Enthalpy, H ΔHcomb= - 5040.9 KJ 7CO2(g) + 8H20(l) products Practice Problem #18: Draw an enthalpy diagram to represent the standard molar enthalpy of combustion of heptane, C7H16(l) (use Table 16.3). C7H16(l) + 11O2(g) 7CO2(g) + 8H20(l) + 5040.9 KJ Exothermic reaction, so the enthalpy of reactants is higher than the enthalpy of the products.
Sample Problem (page 644): Methane is the main component of natural gas. Natural gas undergoes combustion to provide energy for heating homes and cooking food. a) How much heat is released when 500.00 g of methane forms from the elements? q =nΔHof q= ? nmethane=m/M m = 500.0 g = (500.00 g) / (16.05 g/mol) ΔHof= -74.6 KJ/mol = 3.115 mol q =nΔHof = (3.115 mol)(-74.6 KJ/mol) = -232.4 KJ
b) How much heat is released when 50.00 g of methane undergoes complete combustion? q =nΔHocomb q= ? nmethane=m/M m = 50.0 g = (500.00 g) / (16.05 g/mol) ΔHocomb= -965.1 KJ/mol = 3.115 mol q =nΔHocomb = (3.115 mol)(-965.1 KJ/mol) = -3006.29 KJ
Practice Problem #19: a) Hydrogen gas and oxygen gas react to form 0.534 g of liquid water. How much heat is released to the surroundings? q =nΔHof q= ? nwater =m/M m = 0.534 g = (0.534 g) / (18.02 g/mol) ΔHof= -285.8 KJ/mol = 0.0296 mol q =nΔHof = (0.0296 mol)(-285.8 KJ/mol) = -8.47 KJ
b) Hydrogen gas and oxygen gas react to form 0.534 g of gaseous water. How much heat is released to the surroundings? q =nΔHof q= ? nwater =m/M m = 0.534 g = (0.534 g) / (18.02 g/mol) ΔHof= -241.8 KJ/mol = 0.0296 mol q =nΔHof = (0.0296 mol)(-241.8 KJ/mol) = -7.16 KJ
nwater =m/M = (56.78 g) / (72.17 g/mol) = 0.787 mol • Practice Problem #21: • Determine the heat released by the combustion of 56.78 g of • pentane, C5H12(l) q= ? q =nΔHocomb m = 56.78 g ΔHocomb= -3682.3 KJ/mol Mpentane= 72.17 g/mol q =nΔHocomb = (0.787 mol)(-3682.3 KJ/mol) = -2897.06 KJ
q= ? q =nΔHocomb nwater =m/M m = 1.36 Kg = 1360 g = (1360 g) / (114.26 g/mol) ΔHocomb= -5720.2 KJ/mol = 11.90 mol Moctane= 114.26 g/mol q =nΔHocomb = (11.90 mol)(-5720.2 KJ/mol) = -68070.38 KJ = -6.81 X 104 KJ b) Determine the heat released by the combustion of 56.78 g of pentane, C5H12(l)
q= ? q =nΔHocomb nwater =m/M m = 2.344 X 104 g = (2.344 X 104g) / (86.20 g/mol) ΔHocomb= -4361.6 KJ/mol = 271.93 mol Moctane= 86.20 g/mol q =nΔHocomb = (271.93 mol)(-4361.6 KJ/mol) = -1 186 031.37 KJ = -1.186 X 106 KJ c) Determine the heat released by the combustion of 2.344 X 104 g of hexane, C6H14(l)
mmethanol=(n)(M) = (98.07 mol)(32.05 g/mol) = 3143.21 g Practice Problem #23: What mass of methanol, CH3OH(l), is formed from its elements if 2.34 X 104 kJ of energy is released during the process? Practice Problem #23: What mass of methanol, CH3OH(l), is formed from its elements if 2.34 X 104 kJ of energy is released during the process? m= ? q =nΔHof q = -2.34 X 104 kJ n =q / ΔHof =(-2.34 X 104 kJ)(-238.6 KJ/mol) = 98.07 mol ΔHof= -238.6 KJ/mol Mmethanol= 32.05 g/mol
nwater =m/M = (8.2g) / (18.02 g/mol) = 0.455 mol Practice Problem #24: An ice cube with a mass of 8.2 g is placed in some lemonade. The ice cube melts completely. How much heat does the ice cube absorb from the lemonade as it melts? q= ? q =nΔHofus mice cube= 8.2 g ΔHomelt= ΔHofus=6.02 KJ/mol Mice cube= 18.02 g/mol q =nΔHofus = (0.455 mol)(6.02 KJ/mol) = 2.74 KJ
nwater =m/M = (100 g) / (18.02 g/mol) = 5.55 mol Practice Problem #25: A teacup contains 0.100 kg of water at its freezing point. The water freezes solid. a) How much heat is released to its surroundings? q= ? q =nΔHofus mwater= 0.100 kg = 100 g ΔHofreezing= ΔHofus=-6.02 KJ/mol Mwater= 18.02 g/mol q =nΔHofus= (5.55 mol)(-6.02 KJ/mol) = -33.41 KJ b)qmelting=33.41 KJ qfreezing=-33.41 KJ
nwater =m/M = (0.325 g) / (200.59 g/mol) = 0.00162 mol Practice Problem #26: A sample of mercury vaporizes. The mercury is at its boiling point and has a mass of 0.325 g. How much heat is absorbed or released to the surroundings? q= ? q =nΔHovap mmercury= 0.325 g ΔHovap=59 KJ/mol Mmercury= 200.59 g/mol q =nΔHovap = (0.00162 mol)(59 KJ/mol) = 0.0956 KJ This is then an endothermic reaction since heat energy is absorbed.
Practice Problem #27: • The molar enthalpy of solution for sodium chloride, NaCl, is 3.9 kJ/mol. • Write a thermochemical reaction to represent the dissolution of • sodium chloride? Dissolution: Solid state Liquid state NaCl(s) + 3.9 kJ NaCl(aq)
nNaCl=m/M = (25.3 g) / (58.44 g/mol) = 0.433 mol b) Suppose you dissolve 25.3 g of sodium chloride in a glass of water at room temperature. How much heat is absorbed or released by the process? q= ? q =nΔHosol mNaCl= 25.3 g ΔHosol=3.9 KJ/mol MNaCl= 58.44 g/mol q =nΔHosol= (0.433 mol)(3.9 KJ/mol) = 1.69 KJ This is then an endothermic reaction since heat energy is absorbed.
c) Do you expect the glass containing the salt solution to feel warm or cool? Explain your answer. Answer: Since heat is absorbed to dissolve the salt, heat is removed from the glass and it will feel cold.
nNaCl=q / ΔHovap = (+80.7 kJ) / (29 kJ/mol) = 2.78 mol Practice Problem #28: What mass of diethyl ether, C4H10O, can be vaporized by adding 80.7 kJ of heat? q= +80.7 kJ q =nΔHovap mdiethyl ether= ? ΔHovap=29 KJ/mol Mdiethyl ether= 74.14 g/mol m=nM= (2.78 mol)(74.14 g/mol) = 206.08 g
ΔHovap=q/n = (+3.97 X 104 kJ)/(1.28 mol) = 31 015.63 J/mol Practice Problem #29: 3.97 X 104 J of heat is required to vaporize 100 g of benzene, C6H6. What is the molar enthalpy of vaporisation of benzene? q= +3.97 X 104 J q =nΔHovap mbenzene= 100 g ΔHovap=? Mbenzene= 78.12 g/mol n=m/M= (100 g) / (78.12 g/mol) = 1.28 mol