Constant Temperature Process (Steam)

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Discussion Overview

The discussion revolves around the application of thermodynamic principles in an isothermal process involving steam, specifically addressing the validity of the equation P1V1 = P2V2 and the calculations related to internal energy (U) and enthalpy (H) given specific conditions such as dryness fraction and pressures.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant questions whether the equation P1V1 = P2V2 is applicable in an isothermal process with a given dryness fraction of steam.
  • Another participant asserts that the law does not apply and requests more details about the specific problem to provide further assistance.
  • A participant describes their approach to finding internal energy (U1) and volume (V1) using steam tables, but expresses uncertainty about calculating final values of U or H.
  • There is a suggestion that to determine new conditions, the specific volume V2/m must be compared to the specific volumes of liquid and saturated vapor at T1.
  • One participant indicates that their calculated V2/m is smaller than the saturated vapor volume at T1, leading them to question whether the steam is superheated, but they find inconsistencies with the steam tables.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the applicability of the equation P1V1 = P2V2 in this context, and there are multiple competing views regarding the interpretation of the specific volumes and the state of the steam.

Contextual Notes

Participants express uncertainty regarding the assumptions about pressure remaining constant and the implications of the specific volume calculations on the state of the steam. There are unresolved aspects concerning the relationship between V2 and the specific volumes at T1.

Jameseyboy
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Homework Statement




Homework Equations



In an isothermal process, where the dryness fraction of steam is given - Does the law of P1V1 = P2V2 still stand? Mass is also given here.

I know that I should not be using PV = mRT for steam.

Thanks

The Attempt at a Solution

 
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Jameseyboy said:

Homework Statement



In an isothermal process, where the dryness fraction of steam is given - Does the law of P1V1 = P2V2 still stand?

Hi Jameseyboy. Welcome to Physics Forums!

No. The law does not still apply. If you want some more help, you need to tell us more about your specific problem, and what your thinking is about how to approach it. Please try to "dope out" your ideas for us.

Chet
 
Thanks for getting back to me with my question!

Basically, I am away from the actual question at the moment:

- Constant temperature process
- The process begins with a wet/dry mix
- Dryness fraction given
- P1 is given
- V2 is given

I found out U1 by using steam tables u = uf + x(ug - uf)
I also found V1 by using S.T with the given P1
I found T1 by S.T at P1

I multiplied both of these by the mass to find the actual values, not the per KG value.

However I am not sure how to go about finding the final value of U or H.

The value of V2 does not indicate it is superheated (with the same temp given by P1), so I am basically stumped.

Sorry this is vague but I can only remember a couple of actual values.
 
Jameseyboy said:
Thanks for getting back to me with my question!

Basically, I am away from the actual question at the moment:

- Constant temperature process
- The process begins with a wet/dry mix
- Dryness fraction given
- P1 is given
- V2 is given

I found out U1 by using steam tables u = uf + x(ug - uf)
I also found V1 by using S.T with the given P1
I found T1 by S.T at P1

I multiplied both of these by the mass to find the actual values, not the per KG value.

However I am not sure how to go about finding the final value of U or H.

The value of V2 does not indicate it is superheated (with the same temp given by P1), so I am basically stumped.

Sorry this is vague but I can only remember a couple of actual values.
You should have found V1 by using the same kind of equation as you used for u.

Now to get the new set of conditions, you need to determine whether V2/m lies between the specific volumes of the liquid and the saturated vapor at T1. If it is, then the only thing that changes is x. The pressure is still P1. Does it lie between these values?

Chet
 
So to gain V1 I have used "Futher properties of water and steam" using 5 bars of pressure i.e. V1 = vf + x(vg - vf) (obviously multiplying this by the mass).

How am I to assume that pressure is still 5 Bar for the second part of the process?

Edit: The V2/m does not lie at the same T1 and is actually smaller than Vg at T1. I assumed this means its superheated, however after checking the tables the new V1 does not correspond with the value. Really not sure what I am supposed to make of this.

Thanks again for the help
 
Last edited:

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