Physical Chemistry Third Edition

162 4 The Thermodynamics of Real Systems We now obtain some additional useful equations. Equations (4.1-8) and (4.2-3) give dA− ...

4.2 Fundamental Relations for Closed Simple Systems 163 We can now derive the formula for∆Sfor an isothermal volume change in an ...

164 4 The Thermodynamics of Real Systems c.For an isothermal process in a closed system, ∆S ∫ c dS ∫V 2 V 1 ( ∂S ∂V ) rn dV ∫ ...

4.2 Fundamental Relations for Closed Simple Systems 165 b. ∆S ∫P 2 P 1 ( ∂S ∂P ) T,n dP− ∫P 2 P 1 ( ∂V ∂T ) P,n dP− ∫P 2 P 1 ...

166 4 The Thermodynamics of Real Systems Exercise 4.4 Calculate∆Sfor the expansion of 1.000 mol of argon from 10.00 atm to 1.000 ...

4.3 Additional Useful Thermodynamic Identities 167 4.3 Additional Useful Thermodynamic Identities We have asserted without proof ...

168 4 The Thermodynamics of Real Systems EXAMPLE 4.8 For a gas obeying the truncated virial equation of state, PVm RT  1 + B 2 ...

4.3 Additional Useful Thermodynamic Identities 169 ( ∂U ∂V ) T,n T α κT −P (4.3-5) whereαis the coefficient of thermal expansio ...

170 4 The Thermodynamics of Real Systems Exercise 4.7 a.Find an expression for (∂H/∂P)T,nfor a gas obeying the truncated pressur ...

4.3 Additional Useful Thermodynamic Identities 171 EXAMPLE4.11 CalculateCV, m for liquid water at 0.00◦C and 1.000 atm. The cons ...

172 4 The Thermodynamics of Real Systems From the appendix, the value ofCP, mfor liquid benzene is 135.31 J K−^1 mol−^1. The mol ...

4.3 Additional Useful Thermodynamic Identities 173 PROBLEMS Section 4.3: Additional Useful Thermodynamic Identities 4.10 Conside ...

174 4 The Thermodynamics of Real Systems b.Find the change in enthalpy if 1.000 mol of solid water (ice) is pressurized at 0.00◦ ...

4.4 Gibbs Energy Calculations 175 4.4 Gibbs Energy Calculations For a closed simple system at constant temperature, Eq. (4.2-19) ...

176 4 The Thermodynamics of Real Systems Solution Let 1 atm be denoted byP◦atmwith a similar symbol for the 1-atm standard-state ...

4.4 Gibbs Energy Calculations 177 The formula in Eq. (4.4-7) is equivalent to integrating from the standard-state pressure P◦dow ...

178 4 The Thermodynamics of Real Systems b.For carbon dioxide at 323.15 K,B 2 −103 cm^3 mol−^1. Find the value of the fugacity ...

4.4 Gibbs Energy Calculations 179 We cannot use this relation, because a constant can be added to the value of the entropy witho ...

180 4 The Thermodynamics of Real Systems Exercise 4.13 a.At 373.15 K and 1.000 atm, the Gibbs energy change of vaporization of w ...

4.4 Gibbs Energy Calculations 181 B 3 b^2. Find the value of∆Afor the isothermal expansion of 1.000 mol of argon at 298.15 K fr ...