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Defining Maxwell’s Equations

Defining Maxwell’s Equations. The fundamental equations can be expressed as: from which the following relationships are derived:. Maxwell’s Equations. The fundamental property relations are exact differentials , meaning that for: defined as: 6.11 then we have,

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Defining Maxwell’s Equations

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  1. Defining Maxwell’s Equations • The fundamental equations can be expressed as: • from which the following relationships are derived: Lecture 5

  2. Maxwell’s Equations • The fundamental property relations are exact differentials, meaning that for: • defined as: • 6.11 • then we have, • 6.12 • When applied to equations 6.7-6.10 for molar properties, we derive Maxwell’s relations: • 6.13-6.16 Lecture 5

  3. Maxwell’s Equations - Example #1 • We can immediately apply Maxwell’s relations to derive quantities that we require in later lectures. These are the influence of T and P on enthalpy and entropy. • Enthalpy Dependence on T,P-closed system • Given that H=H(T,P): • The final expression, including the pressure dependence is: • 6.20 • Which for an ideal gas reduces to: • 6.23 Lecture 5

  4. Maxwell’s Equations - Example #2 • Entropy Dependence on T,P-closed system • Given that S=S(T,P) • The final expression, including the pressure dependence is: • 6.21 • Which for an ideal gas reduces to: • 6.24 Lecture 5

  5. Example SVNA 6.21 - The state of 1(lbm) of steam is changed from saturated vapour at 20 psia to superheated vapour at 50 psia and 1000F. What are the enthalpy and entropy changes of the steam? What would the enthalpy and entropy changes be if steam were an ideal gas? Properties from Steam Tables (SVNA): Lecture 5

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