Physical Chemistry Third Edition

1222 A Tables of Numerical Data Table A.8 (continued) Quantities TC◦V,m Sm◦ − G◦m−Hm,298◦ T Hm◦−Hm,298◦ ∆fH◦ ∆fG◦ Units KJK−^1 m ...

A Tables of Numerical Data 1223 Table A.8 (continued) Quantities TCV,m◦ Sm◦ − G◦m−Hm,298◦ T Hm◦−Hm,298◦ ∆fH◦ ∆fG◦ Units KJK−^1 m ...

1224 A Tables of Numerical Data Table A.8 (continued) Quantities TC◦V,m S◦m − G◦m−Hm,298◦ T Hm◦−Hm,298◦ ∆fH◦ ∆fG◦ Units KJK−^1 m ...

A Tables of Numerical Data 1225 Table A.9 Average Bond Energies Bond Bond Energy/kJ mol−^1 Br−Br 193 C−C 343 CC 615 C≡C 812 C−C ...

1226 A Tables of Numerical Data Table A.11 Mean Ionic Activity Coefficients of Aqueous Electrolytes at 25◦C Molality 0.1 0.2 0.5 ...

A Tables of Numerical Data 1227 Table A.13 Some Standard Reduction Potentials in Aqueous Solution at 25 ◦C and P◦ 1 bar Half-Ce ...

1228 A Tables of Numerical Data Table A.14 Parameters for the Lennard–Jones Potential Substance σ× 1010 /m(ε/kB)/K Argon 3.40 12 ...

A Tables of Numerical Data 1229 Table A.16 Thermal Conductivities Substance Temperature/◦C κ/Js−^1 m−^1 K−^1 Gases Air, 1 atm 20 ...

1230 A Tables of Numerical Data Table A.18 Coefficients of Viscosity Substance State Temperature/◦C η× 103 /kg m−^1 s−^1 Benzene ...

A Tables of Numerical Data 1231 Table A.20 Molar Conductivities and Ion Mobilities at Infinite Dilution in Water at 298.15 K Ion ...

1232 A Tables of Numerical Data Table A.22 Properties of Diatomic Molecules Term/Unit: De/hc cm−^1 ̃ve cm−^1 ̃vexe cm−^1 ̃Be cm− ...

A Tables of Numerical Data 1233 Table A.24 Characteristic Vibrational Frequencies Group Frequency/cm−^1 C−H (stretch) 2850 − 300 ...

1234 A Tables of Numerical Data Table A.26 (continued) B2g 1 − 11 − 11 − 11 −1xz B3g 1 − 1 − 111 − 1 − 11 yz Au 1 111− 1 − 1 − 1 ...

B. Some Useful Mathematics B.1 Differential Calculus with Several Variables The fundamental equation of differential calculus fo ...

1236 B Some Useful Mathematics partial derivative with the same variables fixed in each “quotient.” The result is, holding Pandn ...

B Some Useful Mathematics 1237 ∂^2 f ∂x∂y  ( ∂ ∂x ( ∂f ∂y ) x ) y (B-12b) ( ∂^2 f ∂x^2 ) y  ( ∂ ∂x ( ∂f ∂x ) y ) y (B-12c) ( ∂ ...

1238 B Some Useful Mathematics whereL,M, andNare some functions ofx,y, andz. A general differential form like that of Eq. (B-19) ...

B Some Useful Mathematics 1239 IfT,V, andnare the independent variables in the exact differential thenzis a function ofT,V, andn ...

1240 B Some Useful Mathematics dz dx dy x y z Volume element of dimensionsdx by dy by dz Figure B.3 An Infinitesimal Volume Elem ...

B Some Useful Mathematics 1241 I ∫∞ 0 ∫π 0 ∫ 2 π 0 f(r,θ,φ)r^2 sin(θ)dφdθdr (B-27) Since the limits are constants, this integra ...