Physical Chemistry Third Edition

1082 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics 26.1 The Statistical Thermodynamics of a Dilute Gas In ...

26.1 The Statistical Thermodynamics of a Dilute Gas 1083 In a dilute gas the individual molecules independently occupy molecule ...

1084 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics The expression forW for a given distribution in a dilu ...

26.1 The Statistical Thermodynamics of a Dilute Gas 1085 To find an expression forPi, we consider a system consisting of a singl ...

1086 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics The Heat Capacity of a Dilute Gas The heat capacity at ...

26.1 The Statistical Thermodynamics of a Dilute Gas 1087 The Helmholtz Energy of a Dilute Gas Using the formula for the entropy, ...

1088 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics EXAMPLE26.2 Show that ln(N−1) differs from ln(N) by a ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1089 b.How will the rotational partition functions of the ...

1090 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics The Translational Energy of a Dilute Gas The translati ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1091 Solution zel≈ 2 + 2 e−ε^1 /kBT 2 +2 exp ( − 2. 380 ...

1092 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics Exercise 26.6 a.Carry out the steps of algebra to obta ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1093 The Heat Capacity of a Dilute Gas The heat capacity ...

1094 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics EXAMPLE26.5 CalculateCVandCPfor 1.000 mol of^35 Cl 2 a ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1095 CV,elN dεel dT − N z^2 el dzel dT g 1 ε 1 e−ε^1 /k ...

1096 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics whereMis the molar mass of the gas. The symbolP◦repres ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1097 Solution ztr ( 2 πmkBT h^2 ) 3 / 2 V  ( 2 π(1. 161 ...

1098 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics Sm,vib◦  Um,vib T +Rln(zvib)  481 .92 J mol−^1 298 . ...

26.2 Working Equations for the Thermodynamic Functions of a Dilute Gas 1099 Solution The vibrational contribution is independent ...

1100 26 Equilibrium Statistical Mechanics. II. Statistical Thermodynamics EXAMPLE26.10 Calculate the chemical potential and the ...

26.3 Chemical Equilibrium in Dilute Gases 1101 26.13Estimate the difference in the rotational contribution to the entropy of 1.0 ...