Thermodynamics-ideal gas tables

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SUMMARY

This discussion focuses on solving specific entropy changes using the ideal gas model for various gases under different conditions. The problems utilize ideal gas tables, specifically Table A-22 for entropy values and Table A-20 for specific heats. The correct answers for the entropy changes are provided for air, carbon dioxide, carbon monoxide, and nitrogen, with detailed methods for calculations using interpolation and specific heat formulas. The user encounters difficulty with part B due to the lack of information on pressure and volume constancy.

PREREQUISITES
  • Understanding of ideal gas laws and models
  • Familiarity with thermodynamic tables, specifically Table A-20 and Table A-22
  • Knowledge of specific heat capacities (Cp and Cv)
  • Ability to perform interpolation for thermodynamic properties
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  • Learn how to calculate specific heats for non-constant pressure processes
  • Research interpolation techniques for thermodynamic properties
  • Explore advanced entropy change calculations for real gases
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Students and professionals in mechanical engineering, thermodynamics, and anyone involved in the analysis of gas behavior under varying conditions.

alberto23
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Thermodynamics--ideal gas tables

problem says:

6.25 employing the ideal gas model, determine the change in specific entropy between the indicated states, in kJ/kg K. Solve 2 ways: use the appropriate ideal gas table, and a constant specific heat from Table A-20.

(a) air, p1 = 100 kPa, T1 = 20°C → p2 = 100 kPa, T2 = 100°C
(b) air, p1 = 1 bar, T1 = 27°C → p2 = 3 bar, T2 = 377°C
(c) carbon dioxide, p1 = 150 kPa, T1 = 30°C, p2 = 300 kPa, T2 = 300°C
(d) carbon monoxide, T1 = 300K, v1 = 1.1 m3/kg → T2 = 500K, v2 = 0.75 m3/kg
(e) nitrogen, p1 = 2 Mpa, T1 = 800K → p2 = 1 Mpa, T2 = 300K

answers are:
A) 0.24289, 0.2431
B) 0.47632, 0.47684
C) 0.4769, 0.4862
D) 0.2701, 0.2696
E) -0.8373, -0.8389

i did part A fine and got the right asnwer. solving using the first method (appropriate ideal gas table)--which is table A22 in my book (fundamentals of thermodynamics edition 5). you just have to convert temp to kelvin and match it up with the corresponding "s" value. the exact values aren't on table so i had to interpolate. then i did s2-s1 and got the right answer. solving using the second method (Table A20--"ideal gas specific heats of some common gasses"), i used the temperatures to find the cp values. then i averaged the 2 cp values together and used the formula (delta)s=cp*ln(T2/T1). this gave me the right answer.


but...for part B, it is not constant pressure and it doesn't say if its constant volume or not, so i don't know how to use the specific heat table for this.

if you can help me...thanks.
 
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Try this to see if it works.

s=C_{v}\ln T_{2}/T_{1}+R\ln V_{2}/V_{1}
 

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