Calculating h & u for values not on tables (Thermodynamics)

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SUMMARY

The discussion focuses on calculating enthalpy values for thermodynamic systems when the required data is not directly available in standard tables. Specifically, it addresses the scenario of determining the work potential of 1 kg of steam at 800 kPa and 180°C versus 1 kg of R-134a at the same conditions. The correct approach involves using interpolation techniques to estimate values between known data points in the tables, as outlined in "Thermodynamics 7e" by Cengage. The participants emphasize the importance of understanding how to perform these calculations accurately to derive the necessary thermodynamic properties.

PREREQUISITES
  • Understanding of thermodynamic properties such as enthalpy, pressure, and temperature.
  • Familiarity with interpolation and extrapolation techniques in data analysis.
  • Knowledge of steam and refrigerant properties, specifically for R-134a.
  • Access to "Thermodynamics 7e" by Cengage for reference values.
NEXT STEPS
  • Learn interpolation methods for thermodynamic property estimation.
  • Study the properties of R-134a and steam at various pressures and temperatures.
  • Explore the concept of quality in thermodynamics and its impact on calculations.
  • Review examples from "Thermodynamics 7e" to practice finding values not listed in tables.
USEFUL FOR

Students in thermodynamics courses, engineers working with thermodynamic systems, and anyone involved in calculating properties of fluids in closed systems.

psilocybin
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Hi, most of my thermodynamics class we have been looking up enthalpy on tables when the pressure and temperature is provided. For some homework questions, the values are not on the tables, but fall in between them. What is the correct approach to finding these when the quality is not provided? For example:

Which has the capability to produce the most work in
a closed system—1 kg of steam at 800 kPa and 180°C or 1 kg
of R-134a at 800 kPa and 180°C? Take T 0 = 25°C and PQ =
100 kPa. Answers-. 623 kJ, 5.0 kj


u = 2594 . 7 kJ/kg
P = 800 kPa
v = 0 . 24720 m /kg
T = 180 ° C
s = 6 . 7155 kJ/kg ⋅ K


u 0 ≅ u f @ 25 ° C = 104 . 83 kJ/kg


v 0 ≅ v f @ 25 ° C = 0 . 001003 m /kg
P 0 = 100 kPa
s 0 ≅ s f @ 25 ° C = 0 . 3672 kJ/kg ⋅ K
T 0 = 25 ° C

(Edited in correct values)

What is the correct approach to get here?
The textbook I am using is Thermodynamics 7e (cengal)

Thanks!
 
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Can't interpret the example without being told what values are in the tables and what values you are trying to look up. (Try not to assume anyone wanting to respond to you has the same book.)
As a general matter, there's interpolation and extrapolation. If the values you have lie between those in the tables then it would be usual to assume (in the absence of glaring evidence to the contrary) that the function is about linear in between adjacent the values in the tables. So you can just do a weighted average. Do you know how to do that?
 
Look up interpolation. That's how you find values that are in between.
 

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