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Chemistry 231. Chapter 3 – Enthalpy and Internal Energy: The Importance of State Functions. The Properties of the Pressure, P. Let’s examine the pressure of any system as a function of T and V. The Isothermal Compressibility. For a fluid system or a solid Isothermal Compressibility.
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Chemistry 231 Chapter 3 – Enthalpy and Internal Energy: The Importance of State Functions
The Properties of the Pressure, P Let’s examine the pressure of any system as a function of T and V
The Isothermal Compressibility • For a fluid system or a solid • Isothermal Compressibility
Coefficient of Thermal Expansion • For solids and fluid systems • The coefficient of thermal expansion
The Final Expression Assume that we will write pressure as a function of T and V
The Properties of U In general, we write U as a function of T and V
Isothermal Changes in U Examine the second partial derivative
The Joule Experiment O O O O C C F F 50 120 100 40 30 80 20 60 10 40 0 20 10 0 20 20 30 40 40 60 50 A T1, Vm,1, P1 B Stirrer Thermal insulation Valve
The Joule Coefficient is known as the Joule coefficient, J. The partial derivative
Internal Energy and the Joule Coefficient The change in the internal energy under isothermal conditions is related to the Joule Coefficient
Relating CP and CV • In general For an ideal gas
The Properties of H In general, we write H as a function of T and P
The Constant Pressure Heat Capacity Define the constant pressure heat capacity, CP
Isothermal Changes in H Examine the second partial derivative
The Joule-Thomson Experiment Thermal insulation O O O O C O C O O O F F C C F F 50 120 50 120 100 40 100 40 30 80 30 80 20 20 60 60 10 10 40 40 0 0 20 20 10 10 0 0 20 20 20 20 30 30 40 40 40 40 60 50 60 50 T2, P2, Vm,2 T1, P1, Vm,1 Porous Plug
The Joule-Thomson Coefficient is known as the Joule-Thomson coefficient, JT. The partial derivative
Relating H to the Joule-Thompson Coefficient The change in the enthalpy under constant pressure conditions is related to the Joule-Thomson Coefficient