Gasohol is a mixture of ethanol (C2H5OH) and gasoline. Write the chemical equation for the combustion of ethanol. (Use the lowest possible whole number coefficients. Include states-of-matter under SATP conditions in your answer.)   b. Determine the maximum amount of work that can be obtained from the combustion of 1 gal of ethanol at 298.15 K and standard conditions. The density of ethanol is 0.789 g/mL, and 1 gal is 3.79 L. (See Thermodynamic Properties pictures attached)

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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a. Gasohol is a mixture of ethanol (C2H5OH) and gasoline. Write the chemical equation for the combustion of ethanol. (Use the lowest possible whole number coefficients. Include states-of-matter under SATP conditions in your answer.)

 

b. Determine the maximum amount of work that can be obtained from the combustion of 1 gal of ethanol at 298.15 K and standard conditions. The density of ethanol is 0.789 g/mL, and 1 gal is 3.79 L. (See Thermodynamic Properties pictures attached) )

Substance
Aluminum:
Al(s)
AlCl3(s)
Al2O3(s)
Barium:
Ba(s)
Ba²+ (aq)
BaCO3(s)
Boron:
B(s)
BF3 (9)
Bromine:
Br₂ (1)
Br₂(g)
Br(g)
Br¹- (aq)
HBr (g)
Calcium:
CaO(s)
Ca(OH)2 (s)
CaCO3(s)
Carbon:
CC14 (9)
CC14 (1)
HCN (g)
CH4 (9)
CS₂ (g)
CS₂ (1)
C₂H₂(g)
AH kJ/mol AG kJ/mol
C₂H₁ (9)
C₂H6 (9)
0
-704.2
-1676
0
-538.36
-1219
0
-1137.0
0
30.91
111.9
-120.9
-36
C(s, graphite) 0
C(s, diamond) 1.987
C(g)
716.681
CO(g)
-110.52
CO₂(g)
-393.51
CO2(aq)
-412.9
-103
-135.4
-635.1
-986.09
-1206.9
135
-74.9
117.4
89.70
226.7
52.28
-84.67
0
-628.8
-1582
0
-560.7
-1139
0
-1120.3
0
3.13
82.40
-102.8
-53.5
-603.5
-1128.8
0
2.900
671.289
-137.15
-394.36
-386.2
-53.7
-68.6
125
-50.6
67.15
65.27
209.2
68.12
-32.89
Sº J/mol K
28.3
110.7
50.92
28.3
13
112
5.86
254.12
152.23
245.38
174.90
80.71
198.59
38.2
92.9
5.740
2.38
157.987
197.56
213.6
121
309.7
216.4
201.7
186.15
237.7
151.3
200.8
219.5
229.5
Substance
CH3OH(g)
CH3OH(1)
C₂H5OH (9)
C₂H5OH (1)
CH3COOH (1)
CH3CHO(g)
C4H10 (9)
C4H10 (1)
C6H6 (9)
C6H6 (1)
C8H18 (1)
Chlorine:
Cl₂ (g)
Cl(g)
Cl¹- (aq)
HCl(g)
HCl(aq)
Chromium:
Cr₂O3(s)
(NH4)2Cr2O7(s)
Copper:
Cu(s)
CuO(s)
CuSO4(s)
Cu₂S(s)
Fluorine:
F₂(g)
F(g)
F¹-(aq)
HF (g)
Hydrogen:
H₂(g)
H(g)
H¹+ (aq)
H₂O(l)
H₂O(g)
Iodine:
I₂ (s)
I₂ (g)
I(g)
HI(₂)
AH kJ/mol
-201.2
-237.6
-235.1
-277.7
-484.5
-166
-124.73
-147.6
82.927
49.028
-226
0
121.7
-167.2
-92.30
-167.2
-1138
-1807
0
-157
-771.36
-79.5
0
78.99
-332.6
-271
0
217.97
0
-285.83
-241.82
0
62.438
106.84
26.5
AG kJ/mol S° J/mol K
-161.9
-166.23
-168.6
-174.76
-390
-133.7
-15.71
-15.0
129.66
124.50
0
105.7
-131.2
-95.31
-131.2
-1059
0
-128
-661.9
-86.2
0
61.92
-278.8
-273
0
203.26
0
-237.2
-228.59
0
19.36
70.283
1 71
237.6
126.8
282.6
160.7
160
266
310.0
231.0
269.2
172.8
223.0
165.2
56.5
186.80
56.5
81.2
33.15
42.63
110
120.5
202.7
158.64
-13.8
173.67
130.57
114.60
0
69.91
188.7
116.14
260.6
180.68
206 18
Transcribed Image Text:Substance Aluminum: Al(s) AlCl3(s) Al2O3(s) Barium: Ba(s) Ba²+ (aq) BaCO3(s) Boron: B(s) BF3 (9) Bromine: Br₂ (1) Br₂(g) Br(g) Br¹- (aq) HBr (g) Calcium: CaO(s) Ca(OH)2 (s) CaCO3(s) Carbon: CC14 (9) CC14 (1) HCN (g) CH4 (9) CS₂ (g) CS₂ (1) C₂H₂(g) AH kJ/mol AG kJ/mol C₂H₁ (9) C₂H6 (9) 0 -704.2 -1676 0 -538.36 -1219 0 -1137.0 0 30.91 111.9 -120.9 -36 C(s, graphite) 0 C(s, diamond) 1.987 C(g) 716.681 CO(g) -110.52 CO₂(g) -393.51 CO2(aq) -412.9 -103 -135.4 -635.1 -986.09 -1206.9 135 -74.9 117.4 89.70 226.7 52.28 -84.67 0 -628.8 -1582 0 -560.7 -1139 0 -1120.3 0 3.13 82.40 -102.8 -53.5 -603.5 -1128.8 0 2.900 671.289 -137.15 -394.36 -386.2 -53.7 -68.6 125 -50.6 67.15 65.27 209.2 68.12 -32.89 Sº J/mol K 28.3 110.7 50.92 28.3 13 112 5.86 254.12 152.23 245.38 174.90 80.71 198.59 38.2 92.9 5.740 2.38 157.987 197.56 213.6 121 309.7 216.4 201.7 186.15 237.7 151.3 200.8 219.5 229.5 Substance CH3OH(g) CH3OH(1) C₂H5OH (9) C₂H5OH (1) CH3COOH (1) CH3CHO(g) C4H10 (9) C4H10 (1) C6H6 (9) C6H6 (1) C8H18 (1) Chlorine: Cl₂ (g) Cl(g) Cl¹- (aq) HCl(g) HCl(aq) Chromium: Cr₂O3(s) (NH4)2Cr2O7(s) Copper: Cu(s) CuO(s) CuSO4(s) Cu₂S(s) Fluorine: F₂(g) F(g) F¹-(aq) HF (g) Hydrogen: H₂(g) H(g) H¹+ (aq) H₂O(l) H₂O(g) Iodine: I₂ (s) I₂ (g) I(g) HI(₂) AH kJ/mol -201.2 -237.6 -235.1 -277.7 -484.5 -166 -124.73 -147.6 82.927 49.028 -226 0 121.7 -167.2 -92.30 -167.2 -1138 -1807 0 -157 -771.36 -79.5 0 78.99 -332.6 -271 0 217.97 0 -285.83 -241.82 0 62.438 106.84 26.5 AG kJ/mol S° J/mol K -161.9 -166.23 -168.6 -174.76 -390 -133.7 -15.71 -15.0 129.66 124.50 0 105.7 -131.2 -95.31 -131.2 -1059 0 -128 -661.9 -86.2 0 61.92 -278.8 -273 0 203.26 0 -237.2 -228.59 0 19.36 70.283 1 71 237.6 126.8 282.6 160.7 160 266 310.0 231.0 269.2 172.8 223.0 165.2 56.5 186.80 56.5 81.2 33.15 42.63 110 120.5 202.7 158.64 -13.8 173.67 130.57 114.60 0 69.91 188.7 116.14 260.6 180.68 206 18
Substance AH kJ/mol AG kJ/mol S° J/mol.K
Iron:
Fe(s)
FeO (s)
Fe₂O3(s)
Fe3O4(s)
Lead:
Pb(s)
Pb²+ (aq)
PbBr₂ (s)
PbCl₂ (s)
PbO(s)
Magnesium
Mg(s)
MgO(s)
MgCl₂ (s)
Nitrogen:
Oxygen:
O2(g)
O(g)
03(g)
P4(s)
P(g)
PC13 (9)
PC13 (1)
N₂(g)
N(g)
NH3(g)
NH3(aq)
-80.29
NH4Cl(s) -314.4
NH4NO3(s) -365.5
NO(g)
90.29
NO2(g)
33.84
N₂O4(9)
9.66
PH3(g)
P4010(s)
0
POC13 (9)
POC13 (1)
H3PO4 (aq)
-271.9
-824.2
-1117.1
Potassium
0
1.6
-277.4
-359
-219.0
0
-601.7
-641.6
Phosphorus:
0
472.704
-46.11
0
249.17
143
0
316.4
-288.07
-319.6
5.4
-1640.1
-542.2
-597.0
-1288.3
0
K(s)
KCl(s)
-436.7
KClO3(s) -397.7
0
-255.2
-742.2
-1014.2
0
-24.3
-260.7
-314
-189.2
0
-569.4
-592.1
0
455.5
-16.5
-26.57
-203.0
-184.0
86.60
51.84
98.28
0
231.75
163
0
280.0
-269.6
-272.4
13.4
-502.5
-520.9
-1142.6
0
-409.2
-296.3
27.3
60.75
87.40
146.4
68.85
21
161
136
66.5
32.69
26.94
89.6
191.5
153.19
192.3
111.3
94.6
151.1
210.65
240.45
304.3
205.03
160.95
238.82
41.08
163.2
311.7
217
210.2
325
222
158.2
64.67
82.59
143.1
Substance
Silicon:
Si(s)
Si(g)
SiO₂ (s)
SiH4 (9)
Silver:
Ag(s)
Ag¹+ (aq)
AgCl(s)
Ag₂O(s)
Ag2S (s)
Sodium:
Na(s)
Na¹ + (aq)
NaCl(s)
Sulfur:
S(s, rhombic)
SO₂(g)
SO3(g)
S2(g)
H₂S (g)
H₂SO4 (1)
H₂SO4 (aq)
Tin:
Sn(s)
SnO(s)
SnO₂ (s)
SnCl4 (1)
SnCl4 (9)
Titanium:
Ti(s)
Ti(g)
TiO₂ (s)
TiCl4 (1)
TiCl4 (9)
Zinc:
Zn(s)
ZnO(s)
ZnCl₂ (s)
AH kJ/mol AG kJ/mol
0
368.2
-910.94
34
0
105.90
-127.0
-31.05
-32.6
0
-240.1
-411.1
0
- 296.83
-395.72
129
-20.6
-813.989
-909.3
0
-286
-580.7
-545.2
-471.5
0
468
-944.7
-804.2
-763.2
0
-348.0
-415.1
0
323.9
-856.67
56.9
0
77.11
-109.70
-11.20
-40.7
0
-261.9
-384.0
0
-300.19
-371.1
79.30
-33.6
-690.101
-744.6
0
-257
-519.7
-474.0
-432.2
0
422
-889.5
-737.2
-726.8
0
-318.2
-369.4
Sº J/mol K
18.7
167.8
41.84
204.5
42.55
73.93
96.11
121.3
144.0
51.45
59.0
72.12
31.8
248.1
256.6
228.2
205.7
156.90
20.08
51.2
56.5
52.3
259
366
30.6
180.3
50.3
252.3
354
41.6
43.6
111.5
Transcribed Image Text:Substance AH kJ/mol AG kJ/mol S° J/mol.K Iron: Fe(s) FeO (s) Fe₂O3(s) Fe3O4(s) Lead: Pb(s) Pb²+ (aq) PbBr₂ (s) PbCl₂ (s) PbO(s) Magnesium Mg(s) MgO(s) MgCl₂ (s) Nitrogen: Oxygen: O2(g) O(g) 03(g) P4(s) P(g) PC13 (9) PC13 (1) N₂(g) N(g) NH3(g) NH3(aq) -80.29 NH4Cl(s) -314.4 NH4NO3(s) -365.5 NO(g) 90.29 NO2(g) 33.84 N₂O4(9) 9.66 PH3(g) P4010(s) 0 POC13 (9) POC13 (1) H3PO4 (aq) -271.9 -824.2 -1117.1 Potassium 0 1.6 -277.4 -359 -219.0 0 -601.7 -641.6 Phosphorus: 0 472.704 -46.11 0 249.17 143 0 316.4 -288.07 -319.6 5.4 -1640.1 -542.2 -597.0 -1288.3 0 K(s) KCl(s) -436.7 KClO3(s) -397.7 0 -255.2 -742.2 -1014.2 0 -24.3 -260.7 -314 -189.2 0 -569.4 -592.1 0 455.5 -16.5 -26.57 -203.0 -184.0 86.60 51.84 98.28 0 231.75 163 0 280.0 -269.6 -272.4 13.4 -502.5 -520.9 -1142.6 0 -409.2 -296.3 27.3 60.75 87.40 146.4 68.85 21 161 136 66.5 32.69 26.94 89.6 191.5 153.19 192.3 111.3 94.6 151.1 210.65 240.45 304.3 205.03 160.95 238.82 41.08 163.2 311.7 217 210.2 325 222 158.2 64.67 82.59 143.1 Substance Silicon: Si(s) Si(g) SiO₂ (s) SiH4 (9) Silver: Ag(s) Ag¹+ (aq) AgCl(s) Ag₂O(s) Ag2S (s) Sodium: Na(s) Na¹ + (aq) NaCl(s) Sulfur: S(s, rhombic) SO₂(g) SO3(g) S2(g) H₂S (g) H₂SO4 (1) H₂SO4 (aq) Tin: Sn(s) SnO(s) SnO₂ (s) SnCl4 (1) SnCl4 (9) Titanium: Ti(s) Ti(g) TiO₂ (s) TiCl4 (1) TiCl4 (9) Zinc: Zn(s) ZnO(s) ZnCl₂ (s) AH kJ/mol AG kJ/mol 0 368.2 -910.94 34 0 105.90 -127.0 -31.05 -32.6 0 -240.1 -411.1 0 - 296.83 -395.72 129 -20.6 -813.989 -909.3 0 -286 -580.7 -545.2 -471.5 0 468 -944.7 -804.2 -763.2 0 -348.0 -415.1 0 323.9 -856.67 56.9 0 77.11 -109.70 -11.20 -40.7 0 -261.9 -384.0 0 -300.19 -371.1 79.30 -33.6 -690.101 -744.6 0 -257 -519.7 -474.0 -432.2 0 422 -889.5 -737.2 -726.8 0 -318.2 -369.4 Sº J/mol K 18.7 167.8 41.84 204.5 42.55 73.93 96.11 121.3 144.0 51.45 59.0 72.12 31.8 248.1 256.6 228.2 205.7 156.90 20.08 51.2 56.5 52.3 259 366 30.6 180.3 50.3 252.3 354 41.6 43.6 111.5
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