Lecture_10_092508 - Lecture 10 Enthalpy and Cp Cv...

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Page 1 of 4 Lecture 10 – September 25, 2008 Enthalpy and C p – C v Relationships H is represented by a state function (the sum of state variables), hence H is itself a state variable H is an extensive state variable, while the molar enthalpy is an intensive variable Writing H as a function of (T,p) leads to the differential: ( ) dP p H dT T H p , T dH T p + = For an isobaric process (dp = 0): ( ) ( ) dT T H 0 p H dT T H p , T dH p T p = + = ( ) p p p T H C where dT C p , T dH = = Hence, C p is the isobaric heat capacity C p is an extensive state variable, while the molar heat capacity is an intensive state variable Furthermore, the enthalpy change for an isobaric (dp = 0) process can be written as: ( ) p p T T p T T T H C where dT C p , T dH H 2 1 2 1 = = = Δ ( ) ( ) ( ) t tan cons C if T T C T H T H H p 1 2 p 1 1 2 2 = = = Δ Principle behind solution calorimetry experiments.
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