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Lecture27_Entropy for ideal gas-handout

# Lecture27_Entropy for ideal gas-handout - ME200...

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1 Professor: Euiwon Bae Lecture Hours : MWF 1:30-2:20 in ME1130 Office Hours : MWF 2:30-3:30 in ME1091 Email : Phone : 765-494-6849 Course website : http://engineering.purdue.edu/ME200 ME200 : Thermodynamics I Lecture 27 : Entropy change for ideal gas

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2 Outline Entropy for ideal gas Examples
3 Entropy change of ideal gas - For ideal gas, starting from - On integrating (Cv and Cp are function of T) 𝑑𝑠 = 𝑑? ? + 𝑝𝑑? ? 𝑑𝑠 = 𝑑ℎ ? + ?𝑑𝑝 ? - For ideal gas, du=c 𝑑? 𝑑𝑝 𝑠 2 − 𝑠 1 = 𝐶 𝑝 ? 𝑇 2 𝑇 1 𝑑? ? − ? ln 𝑝 2 𝑝 1

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4 Entropy change of ideal gas - Using ideal gas tables and when the change of the entropy is of interest, we can define - Where T R is an arbitrary reference temperature, therefore 𝑠 ° ? = 𝐶 𝑝 𝑇 ? 𝑑? 𝑇 𝑇 𝑅 𝑠 2 − 𝑠 1 = 𝐶 𝑝 ? 𝑇 2 𝑇 1 𝑑? ? − ? ln 𝑝 2 𝑝 1 𝐶 𝑝 ? 𝑇 2 𝑇 1 𝑑? ? = 𝐶 𝑝 ? 𝑇 2 𝑇 𝑅 𝑑? ? 𝐶 𝑝 ? 𝑇 1 𝑇 𝑅 𝑑?
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