Lecture14_Ideal_gas_properties_polytropic_processes-handout[1]

# Lecture14_Ideal_gas_properties_polytropic_processes-handout[1]

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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 : [email protected] Phone : 765-494-6849 Course website : http://engineering.purdue.edu/ME200 ME200 : Thermodynamics I Lecture 14 : Ideal gas properties polytropic processes

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2 Outline U,h,cp and Cv for ideal gas Using Energy balance for ideal gas Polytropic process relations Examples
3 Ideal gas properties - In previous section, we defined that the U is the function of T only for ideal gas - Separating this and integrating results in - Similarly (specific energy for ideal gas) ? ³ 2 − ? ³1 = ´ µ ± ³ ?³ ²2 ²¶ ° · (³) = ?? (specific enthalpy for ideal gas) h ³ 2 − ? ³1 = ´ µ · ³ ?³ ²2 ²¶

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4 Ideal gas properties - Using the h=u+RT for ideal gas and differentiating w.r.t Temperature - Therefore - For ideal gas, Cp and Cv are different just by a constant R! - Using k=Cp/Cv dh dt = du dT + R
5 Evaluating properties for ideal gas - For an ideal gas going through a process - Three methods (1)Constant specific heat assumption i.e. Table A-20 shows C p , C v , k for air, N 2 ,O 2 , etc (2) Use Specific heat functions for C v and C p that can be integrated i.e. Table A-21(α-ε is tabulated for different substances)

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Lecture14_Ideal_gas_properties_polytropic_processes-handout[1]

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