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

In summary, the conversation discusses a problem with interpolation of state values in a superheated water table. The final state is a combination of saturated liquid and saturated vapor at 240 F and 25 psi, making interpolation unnecessary. The speaker suggests using the saturated water table and the mass fractions of liquid and vapor to calculate the combined entropy in the final state.
  • #1
Noob of the Maths
52
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!
 
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  • #2
The final state is not superheated. It is a combination of saturated liquid and saturated vapor at 240 F and 25 psi.
 
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  • #3
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
 
  • #4
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.
 
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1. What is interpolation?

Interpolation is a mathematical method used to estimate the value of a function at a point that falls between two known data points. It involves creating a curve or line that passes through the known data points and using that curve to estimate the value at the desired point.

2. How does heating water affect its entropy?

Heating water increases its entropy, which is a measure of the disorder or randomness in a system. As water is heated, the molecules gain energy and move around more, increasing the disorder and therefore the entropy.

3. Can interpolation be used to calculate the change in entropy while heating water?

Yes, interpolation can be used to estimate the change in entropy while heating water. By using known data points of temperature and corresponding entropy values, a curve can be created and the change in entropy at a specific temperature can be estimated.

4. How accurate is interpolation in calculating entropy change?

The accuracy of interpolation in calculating entropy change depends on the quality and quantity of the data points used. The more data points available, the more accurate the estimation will be. However, it is always important to keep in mind that interpolation is an estimation and may not be entirely accurate.

5. Are there any limitations to using interpolation for calculating entropy change?

Yes, there are limitations to using interpolation for calculating entropy change. It is only accurate within the range of known data points and may not accurately estimate values outside of that range. Additionally, the accuracy of the estimation decreases if the data points are not evenly distributed.

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