Appendix E Chemistry Data Tables Table E.4 Conversion Factors Quantity Relationships between units Table E.1 Useful Math Relationships D= m V P= F A length π = 3.1416 1 m = 10−3 km = 103 mm = 102 cm 1 pm = 10−12 m Volume of sphere V = 4 3 πr 3 mass 1 u = 1.66 × 10−27 kg Table E.2 Fundamental Physical Constants (to six significant digits) acceleration due to gravity (g ) 9.806 65 m/s2 Avogadro constant (Na) 6.022 14 × 1023/mol charge on one mole of electrons (Faraday constant) 96 485.3 C/mol mass of electron (ms) 9.109 38 × 10−31 kg mass of neutron (mn) 1.674 93 × 10−27 kg mass of proton (mp) 1.672 62 × 10−27 kg molar gas constant (R ) 8.314 47 J/mol·K molar volume of gas at STP 22.414 0 L/mol speed of light in vacuo (c ) 2.997 92 × 10 m/s unified atomic mass (u ) 1.660 54 × 10−27 kg temperature 1012 giga (G) 109 mega (M) 106 kilo (k) 103 deci (d) 10−1 centi (c) 10−2 milli (m) 10−3 micro (µ) 10−6 nano (n) 10−9 pico (p) 10−12 0 K = −273.15˚C T (K) = T (˚C) + 273.15 T (˚C) = T (K) − 273.15 mp of H2O = 273.15 K (0˚C) bp of H2O = 373.15 K (100˚C) volume 1 L = 1 dm3 = 10−3 m3 8 = 103 mL 1 mL = 1 cm3 Table E.3 Common SI Prefixes tera (T) 1 kg = 103 g = 10−3 t Volume of cylinder = πr h 2 pressure 101 325 Pa = 101.325 kPa = 760 mm Hg = 760 torr = 1 atm density 1 kg/m3 = 103 g/m3 = 10−3 g/mL = 1 g/L energy 1 J = 6.24 × 1018 eV Appendix E • MHR 595 Table E.5 Alphabetical Listing of Common Polyatomic Ions Most common ion acetate Common related ions + NH4 arsenate AsO43− if the ion is the most common oxoanion -ate chlorate, ClO3− -ite chlorite, ClO2− tetraborate B4O72− if the ion has one O atom less than the most common oxoanion HCO3− hypochlorite, ClO− bicarbonate (hydrogen carbonate) if the ion has two O hypo-___-ite atoms less than the most common oxoanion per-___-ate perchlorate chlorite hypochlorite ClO4− ClO2− ClO− if the ion has 1 O atom more than the most common oxoanion perchlorate, ClO4− bi- CrO42− dichromate Cr2O72− if the ion has 1 H atom added to the most common oxoanion bicarbonate, HCO3− − cyanate thiocyanate OCN− SCN− if the ion has 1 O atom less and 1 S atom more than the most common oxoanion thio- thiosulphate, S2O32− if the ion has the higher possible charge -ic titanic, Ti4+ if the ion has the lower possible charge -ous cuprous, Cu+ Note: According to the Stock system, metallic ions are named using Roman numerals. The Roman numeral shows the charge on the metal ion titanium(IV) Ti4+ copper(I), Cu+ manganese(VII), Mn7 + borate BO33− − 3− bromate BrO3 carbonate CO32− ClO3− cyanide CN glutamate C5H8NO4− hydroxide OH− peroxide O22− iodate IO3− iodide I− nitrate NO3− nitrite NO2− oxalate OOCCOO2− Metallic Ions − permanganate MnO4 phosphate PO43− silicate SiO32− phosphite PO33− tripolyphosphate P3O105− orthosilicate SiO44− bisulfate (hydrogen sulfate) sulfite bisulfite (hydrogen sulfite) thiosulfate HSO4− bisulfide (hydrogen sulfide) HS− − stearate C17H35COO sulfate SO42− sulfide Example AsO33− C6H5COO chromate Prefix or suffix arsenite benzoate chlorate Type of ion Polyatomic Ions CH3COO− ammonium Table E.6 Summary of Naming Rules for Ions S2− 596 MHR • Appendix E SO32− HSO3− 2− S 2 O3 Table E.7 Summary of Naming Rules for Acids Modern name Classical acid name Example aqueous hydrogen ___ide hydro___ic acid HCl, aqueous hydrogen chloride or hydrochloric acid aqueous hydrogen ___ate ___ic acid H2CO3, aqueous hydrogen carbonate or carbonic acid aqueous hydrogen ___ite ___ous acid HNO2, aqueous hydrogen nitrite or nitrous acid Table E.8 Standard Molar Enthalpies of Formation Substance ∆H ˚f (kJ/mol) ∆H ˚f Substance (kJ/mol) Acid ∆H ˚f Substance (kJ/mol) Formula Ka Conjugate base hypochlorous acid HClO ClO− 4.0 × 10−8 IO3− 1.7 × 10−1 Al2O3(s) −1675.7 HBr(g) −36.3 NH3(g) −45.9 iodic acid HIO3 CaCO3(s) −1207.6 HCl(g) −92.3 N2H4() +50.6 lactic acid CH3CHOHCO2H CH3CHOHCO2− 1.4 × 10−4 CaCl2(s) −795.4 HF(g) −273.3 NH4Cl(s) −314.4 methanoic acid HCOOH Ca(OH)2(s) −985.2 HCN(g) +135.1 NH4NO3(s) −365.6 nitric acid CCl4() −128.2 H2O() −285.8 NO(g) +91.3 CCl4(g) −95.7 H2O(g) −241.8 NO2(g) +33.2 −134.1 H2O2() −187.8 N2O(g) +81.6 −174.1 N2O4(g) +11.1 CHCl3() CH4(g) −74.6 HNO3() C2H2(g) +227.4 H3PO4(s) C2H4(g) +52.4 H2S(g) C2H6(g) C3H8(g) −84.0 H2SO4() −103.8 FeO(s) −1284.4 PH3(g) +5.4 −20.6 PCl3(g) −287.0 −814.0 P4O6(s) −2144.3 −272.0 P4O10(s) −2984.0 +49.1 Fe2O3(s) −824.2 KBr(s) −393.8 CH3OH() −239.2 Fe3O4(s) −1118.4 KCl(s) −436.5 C2H5OH() −277.6 FeCl2(s) −341.8 KClO3(s) −397.7 CH3COOH() −484.3 FeCl3(s) −399.5 KOH(s) −424.6 CO(g) −110.5 FeS2(s) −178.2 Ag2CO3(s) −505.8 CO2(g) −393.5 PbCl2(s) −359.4 AgCl(s) −127.0 COCl2(g) −219.1 MgCl2(s) −641.3 AgNO3(s) −124.4 C6H6() +89.0 MgO(s) CS2() CS2(g) +116.7 Mg(OH)2(s) CrCl3(s) −601.6 Ag2S(s) −32.6 HCOO− 1.8 × 10−4 HNO3 NO3− 2.4 × 101 nitrous acid HNO2 NO2 − phenol C6H5OH C6H5O− 5.6 × 10−4 1.0 × 10−10 Table E.10 Ionization Constants for Polyprotic Acids Acid Formula Ka Conjugate base boric acid H3BO3 (aqueous H2BO3− hydrogen borate) H2BO3− HBO32− 5.4 × 10−10 <1.0 × 10−14 carbonic acid HCO3− CO32− 4.5 × 10−7 4.7 × 10−11 H2 C 6H5 O7− HC6H5O72− C6H5O73− 7.4 × 10−4 1.7 × 10−5 4.0 × 10−7 H2CO3 HCO3− H3 C 6H5 O7 citric acid H2 C 6H5 O7− (aqueous hydrogen citrate) HC6H5O72− oxalic acid HOOCCOOH HOOCCOO− HOOCCOO− OOCCOO2− phosphoric acid (aqueous hydrogen phosphate) H3PO4 H2PO4− HPO42− H2PO4− HPO42− PO43− 6.9 × 10−3 6.2 × 10−8 4.8 × 10−13 H2 S HS− HS− S2− 8.9 × 10−8 1.0 × 10−19 5.6 × 10−2 1.5 × 10−4 −924.5 SF6(g) −1220.5 −556.5 HgS(s) −58.2 SO2(g) −296.8 hydrosulfuric acid Cu(NO3)2(s) −302.9 NaCl(s) −411.2 SO3(g) −395.7 sulfuric acid CuO(s) −157.3 NaOH(s) −425.6 SnCl2(s) −325.1 H2SO4 HSO4− HSO4− SO42− 1.0 × 103 1.0 × 10−2 CuCl(s) −137.2 Na2CO3(s) −1130.7 SnCl4() −511.3 sulfurous acid H2SO3 HSO3− HSO3− SO32− 1.4 × 10−2 6.3 × 10−8 CuCl2(s) −220.1 tartaric acid H2 C 4H4 O6 HC4H4O6− HC4H4O6− C4H4O62− 9.3 × 10−4 4.3 × 10−5 Note: The enthalpy of formation of an element in its standard state is defined as zero. Table E.11 Ionization Constants for Nitrogen Bases Table E.9 Ionization Constants for Acids Acid Formula Conjugate base Ka acetic acid CH3COOH CH3COO− 1.8 × 10−5 benzoic acid C6H5COOH C6H5COO− 6.3 × 10−5 − 1.1 × 10−2 chlorous acid HClO2 ClO2 cyanic acid HOCN OCN− − Base Formula Conjugate acid (CH3)2NH (CH3)2NH2+ 5.4 × 10−4 3.5 × 10−4 dimethylamine (N-methylmethanamine) 1.8 × 10−4 ethanamine C2H5NH2 C2H5NH3+ 4.5 × 10−4 1.0 × 109 methanamine CH3NH2 CH3NH3+ 4.6 × 10−4 formic acid HCHO2 CHO2 hydrobromic acid HBr Br− 1.3 × 106 trimethylamine (N-N-dimethylmethanamine) (CH3)3NH HCl Cl− (CH3)3N hydrochloric acid hydrocyanic acid HCN CN− 6.2 × 10−10 ammonia NH3 NH4+ 6.3 × 10−4 N2 H4 N2 H5+ HF F− hydrazine hydrofluoric acid OH− BrO− hydrogen oxide H2O hypobromous acid HOBr Kb 1,2-diaminoethane NH2CH2CH2NH2 NH2CH2 (ethylenediamine) CH2NH3+ 8.4 × 10−5 + 6.4 × 10−5 1.8 × 10−5 1.3 × 10−6 + 8.8 × 10−9 hydroxylamine NH2OH NH3OH 1.0 × 10−14 pyridine C5H5N C5H5NH+ 2.8 × 10−9 aniline C6H5NH2 C6H5NH3 urea NH2CONH2 NH2CONH3+ 1.3 × 10−14 1.7 × 10−9 + 7.5 × 10−10 continued… Appendix E • MHR 597 Table E.12 Solubility Product Constants in Water at 25˚C −5 5.38 × 10 1.10 × 10−4 AgBrO3 TlBrO3 Bromides 5.35 × 10−13 6.27 × 10−9 6.60 × 10−6 AgBr CuBr PbBr2 Carbonates 8.46 × 10−12 2.58 × 10−9 3.36 × 10−9 6.82 × 10−6 7.40 × 10−14 Ag2CO3 BaCO3 CaCO3 MgCO3 PbCO3 6.92 × 10 7.2 × 10−15 5.02 × 10−6 5.92 × 10−15 9.38 × 10−27 4.87 × 10−17 2.79 × 10−39 1.43 × 10−20 5.61 × 10−12 5.48 × 10−16 5.45 × 10−27 3 × 10−17 1.77 × 10−10 1.72 × 10−9 Iodides −12 1.12 × 10 1.12 × 10−10 2.3 × 10−13 Ag2CrO4 BaCrO4 PbCrO4 −12 1.27 × 10 9.8 × 10−9 8.52 × 10−17 CuI PbI2 AgI Cyanides Phosphates 5.97 × 10−17 3.47 × 10−20 AgCN CuCN Fluorides 1.84 × 10−7 6.44 × 10−3 3.45 × 10−11 2.36 × 10−6 BaF2 CdF2 CaF2 FeF2 9.84 × 10−21 2.07 × 10−33 2.05 × 10−35 1.40 × 10−37 4.74 × 10−32 AlPO4 Ca3(PO4)2 Co3(PO4)2 Cu3(PO4)2 Ni3(PO4)2 1.08 × 10−10 4.93 × 10−5 6.5 × 10−7 1.08 × 10−13 4.39 × 10−23 − F2(g) + 2e− 2F (aq) 2.866 Co3+(aq) + e− Co2+(aq) 1.92 H2O2(aq) + 2H+(aq) + 2e− 2H2O() 1.776 Ce4+(aq) + − e Ce 3+ 1.72 (aq) PbO2(s) + 4H+ (aq) + SO42−(aq) + 2e− PbSO4(s) + H2O() − MnO4 (aq) + + 8H (aq) + − (aq) + 2+ 5e Mn 4H2O() Au3+(aq) + 3e− Au(s) + PbO2(s) + 4H (aq) + 2e Pb (aq) + 2+ 2H2O() Cl2(g) + 2e− 2Cl− (aq) (aq) + 2− Cr2O7 + − 6e 2Cr (aq) + 3+ 7H2O() O2(g) + 4H+(aq) + 4e− 2H2O() + MnO2(s) + 4H (aq) + − 2e Mn (aq) + 2H2O() − Br2() + 2e 2Br 1.224 1.085 1.002 − 0.957 2+ 2Hg2+(aq) + 2e− Hg2 (aq) 0.920 NO3 (aq) + + 1.232 1.066 (aq) − AuCl4−(aq) + 3e− Au(s) + 4Cl (aq) − 1.455 1.229 2+ IO3−(aq) + 6H+ (aq) + 6e− I−(aq) + 3H2O() − 1.507 1.358 (aq) + 14H 1.691 1.498 − 4H (aq) + 3e NO(g) + 2H2O() continued… 598 MHR • Appendix E (aq) + 0.771 2e H2O2(aq) − I2(s) + 2e− 2I (aq) + (aq) + Cu e Cu(s) 0.521 − (aq) + 2+ Cu 2e Cu(s) (aq) + 2− SO4 0.222 − 2e H2SO3(aq) + H2O() + Cu2+(aq) + e− Cu (aq) + 0.172 0.153 − (aq) + 0.401 0.342 − AgCl(s) + e− Ag(s) + Cl (aq) (aq) + 0.695 0.536 − − O2(g) + 2H2O() + 4e− 4OH (aq) 2e H2(g) 0.000 Fe3+(aq) + 3e− Fe(s) −0.037 Pb2+(aq) + 2e− Pb(s) −0.126 Sn2+(aq) + 2e− Sn(s) −0.138 2H − (aq) + 2+ Ni −0.257 2e Ni(s) Cd2+(aq) + 2e− Cd(s) − (aq) + 3+ Cr −0.403 −0.407 2+ e Cr (aq) Fe2+(aq) + 2e− Fe(s) 3e Cr(s) (aq) + Cr −0.447 − 3+ −0.744 Zn2+(aq) + 2e− Zn(s) −0.762 − 2H2O() + 2e H2(g) + 2OH Al3+(aq) + 3e− Al(s) (aq) + 2+ Mg + (aq) + Na − 2e Mg(s) − e Na(s) Ca2+(aq) + 2e− Ca(s) (aq) + Ba E ˚(V) Reduction half reaction O2(g) + 2H 2+ Table E.13 Standard Reduction Potentials 0.797 − La3+(aq) + 3e− La(s) Thiocyanates CuSCN Pd(SCN)2 2e 2Hg() 2+ Fe3+(aq) + e− Fe (aq) + E ˚(V) 0.800 − − Sulfates BaSO4 CaSO4 Hg2SO4 Hg2 4H 4.01 × 10−9 6.47 × 10−6 1.14 × 10−7 1.12 × 10−10 Chromates (aq) + 2+ + Iodates Ba(IO3)2 Ca(IO3)2 Sr(IO3)2 Y(IO3)3 Chlorides AgCl CuCl −22 Be(OH)2 Cd(OH)2 Ca(OH)2 Co(OH)2 Eu(OH)3 Fe(OH)2 Fe(OH)3 Pb(OH)2 Mg(OH)2 Ni(OH)2 Sn(OH)2 Zn(OH)2 Reduction half reaction Ag+(aq) + e− Ag(s) Hydroxides Bromates − 2e Ba(s) K+(aq) + e− K(s) + Li (aq) + − e Li(s) (aq) −0.828 −1.662 −2.372 −2.379 −2.711 −2.868 −2.912 −2.931 −3.040 Table E.14 Specific Heat Capacities of Various Substances Energy Energy Energy Bond (kJ/mol) Bond (kJ/mol) Bond (kJ/mol) Bond Oxygen Specific heat capacity (J/g ·˚C at 25˚C) Substance Element Silicon Halogens Energy (kJ/mol) Multiple bonds O—O 204 Si—Si 226 F—Cl 256 C C 607 O—F 222 Si—P 364 F—Br 280 C N 615 aluminum 0.900 O—Si 368 Si—S 226 F—I 272 C O 745 carbon (graphite) 0.711 O—P 351 Si—F 553 Cl—Br 217 N N 418 copper 0.385 O—S 265 Si—Cl 381 Cl—I 211 N O 631 gold 0.129 O—Cl 269 Si—Br 368 Br—I 179 O O 498 14.267 O—Br 235 Si—I 293 F—F 159 C C 839 O—I 249 Si O 640 hydrogen iron 0.444 Compound ammonia (liquid) 4.70 ethanol 2.46 water (solid) 2.01 water (liquid) 4.184 water (gas) 2.01 243 C N 891 193 C O 1077 I—I 151 N N 945 Note: The values in this table represent average values for the dissociation of bonds between the pairs of atoms listed. The true values may vary for different molecules. Table E.16 Average Bond Lengths Other material air 1.02 concrete 0.88 glass 0.84 granite 0.79 wood 1.76 Bond Energy Energy Energy Bond (kJ/mol) Bond (kJ/mol) Bond (kJ/mol) Bond Carbon Nitrogen Length (pm) Hydrogen Table E.15 Average Bond Energies Hydrogen Cl—Cl Br—Br Energy (kJ/mol) Phosphorus and sulfur Bond Length (pm) Carbon Bond Length (pm) Bond Length (pm) Phosphorus and sulfur Nitrogen H—H 74 C—C 154 N—N 146 P—P 221 H—C 109 C—N 147 N—O 144 P—S 210 H—N 101 C—O 143 N—F 139 P—F 156 H—O 96 C—F 133 N—Si 172 P—Cl 204 H—F 92 C—Si 186 N—P 177 P—Br 222 H—Si 148 C—P 187 N—S 168 P—I 243 H—P 142 C—S 181 N—Cl 191 S—S 204 H—S 134 C—Cl 177 N—Br 214 S—F 158 H—Cl 127 C—Br 194 N—I 222 S—Cl 201 H—Br 141 C—I 213 S—Br 225 H—I 161 S—I 234 H—Mg 173 H—H 436 C—C 347 N—N 160 P—P 210 H—C 338 C—N 305 N—O 201 P—S 444 H—N 339 C—O 358 N—F 272 P—F 490 O—O 148 Si—Si 234 F—Cl 166 C C 134 H—O 460 C—F 552 N—Si 330 P—Cl 331 O—F 142 Si—P 227 F—Br 178 C N 127 H—F 570 C—Si 305 N—P 209 P—Br 272 O—Si 161 Si—S 210 F—I 187 C O 123 H—Si 299 C—P 264 N—S 464 P—I 184 O—P 160 Si—F 156 Cl—Br 214 N N 122 H—P 297 C—S 259 N—Cl 200 S—S 266 O—S 151 Si—Cl 204 Cl—I 243 N O 120 H—S 344 C—Cl 397 N—Br 276 S—F 343 O—Cl 164 Si—Br 216 Br—I 248 O O 121 H—Cl 432 C—Br 280 N—I 159 S—Cl 277 O—Br 172 Si—I 240 F—F 143 C C 121 H—Br 366 C—I 209 S—Br 218 O—I 194 Cl—Cl 199 C N 115 H—I 298 S—I 170 Br—Br 228 C O 113 H—Mg 126 I—I 266 N N 110 continued… Oxygen Silicon Halogens Multiple bonds Note: The values in this table are average values. The length of a bond may be slightly different in different molecules, depending on the intramolecular forces within the molecules. Appendix E • MHR 599