Help with this interpolation (change in entropy while heating water)

Click For Summary

Discussion Overview

The discussion revolves around the calculation of entropy change while heating water, specifically addressing the challenges of interpolation in the context of superheated and saturated states. Participants explore the appropriate use of thermodynamic tables for water at given pressures and temperatures.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes difficulty in interpolating values for water at 25 psia and 75 F, as the superheated water table lacks data for 25 psia.
  • Another participant asserts that the final state is not superheated, but rather a mixture of saturated liquid and saturated vapor at 240 F and 25 psi.
  • There is a suggestion to use the saturated water table at 240 F with a pressure of 24.985 psia, questioning whether interpolation is necessary in this case.
  • A later reply emphasizes the need to determine mass fractions of liquid and vapor in the final state to calculate the combined entropy, indicating that interpolation may not be sufficient.

Areas of Agreement / Disagreement

Participants express disagreement regarding the necessity of interpolation, with some advocating for its use while others argue it may not be required based on the state of the water.

Contextual Notes

There are unresolved assumptions regarding the definitions of saturated and superheated states, as well as the specific conditions under which interpolation may or may not be applicable.

Noob of the Maths
Messages
52
Reaction score
6
Homework Statement
A piston-cylinder device initially contain 7 lbm of liquid water at 25 psia and
75 F the water is now heated at constant pressure by the addition of 4520
Btu of heat. Determine the entropy change of the water during this process.
Relevant Equations
Heat and pression
Hello, everyone :).
I try to resolve this common problem. But, when i got in the interpolation of state 2, the values not make the sense.
I have 25 psia and 75 F, but, in the superheated water table, there are not values with 25 psia (only 20 psia and 40 psia). And, the temperature values starting with 1000 F, so, its not possible the interpolation.

Captura de Pantalla 2021-09-17 a la(s) 4.34.55.png

Thanks for read!
 
Last edited by a moderator:
Physics news on Phys.org
The final state is not superheated. It is a combination of saturated liquid and saturated vapor at 240 F and 25 psi.
 
  • Like
Likes   Reactions: Noob of the Maths
Chestermiller said:
The final state is not superheated. It is a combination of saturated liquid and saturated vapor at 240 F and 25 psi.
So, i can use the saturated water table and use the 240 F with that 24.985 psia, and just use btu/lbm *R of the Sfg? In this case interpolation its not necessary?
Captura de Pantalla 2021-09-17 a la(s) 13.50.00.png
 
Noob of the Maths said:
So, i can use the saturated water table and use the 240 F with that 24.985 psia, and just use btu/lbm *R of the Sfg? In this case interpolation its not necessary?
View attachment 289215
No way. You need to find the mass fraction liquid and the mass fraction vapor in the final state, and then use this to get the combined entropy in the final state.
 
  • Like
Likes   Reactions: Noob of the Maths

Similar threads

Replies
5
Views
5K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 4 ·
Replies
4
Views
606
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 15 ·
Replies
15
Views
3K
Replies
4
Views
5K
  • · Replies 1 ·
Replies
1
Views
4K