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

In summary, the correct approach to finding values that fall in between the tables is through interpolation, which involves assuming a linear relationship between adjacent values in the tables and calculating a weighted average.
  • #1
psilocybin
8
0
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!
 
Physics news on Phys.org
  • #2
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?
 
  • #3
Look up interpolation. That's how you find values that are in between.
 

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

1. How do you calculate h and u for values not on tables in thermodynamics?

To calculate h and u for values not on tables in thermodynamics, you will need to use the thermodynamic property relations and equations. These equations allow you to calculate h and u based on other known thermodynamic properties such as temperature, pressure, and specific volume.

2. Can you provide an example of calculating h and u for values not on tables in thermodynamics?

Sure, let's say you want to calculate the specific enthalpy (h) of a gas at a temperature of 400 K and a pressure of 2 MPa. You can use the ideal gas equation and the specific heat capacity equation to calculate h. First, use the ideal gas equation to find the specific volume (v) of the gas at those conditions. Then, use the specific heat capacity equation to calculate h using the specific volume and temperature.

3. What thermodynamic property relations are commonly used to calculate h and u for values not on tables?

The most commonly used thermodynamic property relations to calculate h and u for values not on tables include the ideal gas equation, the specific heat capacity equation, and the energy balance equation. These equations can be rearranged to solve for h and u based on other known properties.

4. Are there any limitations to using thermodynamic property relations to calculate h and u for values not on tables?

Yes, there are some limitations to using thermodynamic property relations to calculate h and u for values not on tables. These equations are based on idealized assumptions and may not accurately reflect real-world conditions. Additionally, they may not be applicable to all substances or processes.

5. What is the importance of calculating h and u for values not on tables in thermodynamics?

Calculating h and u for values not on tables is important in thermodynamics as it allows for more accurate and precise calculations of thermodynamic properties. It also allows for the analysis of processes and systems that may not be represented in thermodynamic tables. This is especially useful in engineering and scientific applications.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
4K
  • Introductory Physics Homework Help
Replies
6
Views
883
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top