Calculating Internal Energy Change in Saturated Steam Throttling Process

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SUMMARY

The discussion focuses on calculating the change in internal energy during the throttling process of dry, saturated steam transitioning from 1500 kPa to 100 kPa. Key equations include Q = ΔU + W, where Q represents heat supplied, ΔU is the change in internal energy, and W is work done. Participants emphasize the importance of using steam tables to find internal energy values at both pressure points, confirming that the internal energy is a point function and does not depend on the process path. The solution involves calculating the difference in internal energy directly from the steam tables without needing to consider the specifics of the throttling process.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically internal energy and enthalpy.
  • Familiarity with steam tables for saturated steam properties.
  • Knowledge of the throttling process in thermodynamics.
  • Basic grasp of the first law of thermodynamics (Q = ΔU + W).
NEXT STEPS
  • Study the properties of saturated steam using steam tables.
  • Learn about the throttling process and its implications in thermodynamics.
  • Explore the first law of thermodynamics in greater detail, focusing on internal energy changes.
  • Practice solving similar thermodynamic problems involving phase changes and energy calculations.
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Students and professionals in thermodynamics, mechanical engineers, and anyone involved in energy systems or steam cycle analysis will benefit from this discussion.

TMoore20
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Homework Statement


"Dry, saturated steam at 1500kPa is throttled (perhaps, expanded) to a final condition of 100kPa, dry and saturated. Calculate the change in internal energy."



Homework Equations


Q= ΔU + W (Q, heat supplied. U, internal energy. W, work)

Steam table interpolation. (I generally don't use the interpolation formula, just ratios)

h= U + PV (not sure on this one as it is not a constant pressure process, h, enthalpy.)


The Attempt at a Solution



Hard to get a handle on this one for me, so far I have collected that work is being removed by some means (turbine blade, stationary nozzle, piston..) seeing as it is not a constant enthalpy process.

Taking the difference between the two conditions on the steam tables seems too easy and well...wrong.

Made it as far as calculating the difference between the enthalpy at 100kPa D & S and what it would have been in a constant enthalpy process, to find the enthalpy rejected to the system. Also that the temperature difference between Tsat at 100kPa and what it should be superheated to is 40.33°C.

This is a frustrating problem for me because it seems easy and I'm positive that I've learned it before. I'm just 3 years out of school and I think it's a simple problem.

Any help would be greatly appreciated, thanks in advance.
 
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Hi TMoore20,

Steam tables! Now that takes me back ...! :smile:

Alas, that learning has long ago left me to make room for more-recent stuff. (Well, that's my excuse. :wink: ) About all I recall is needing to work in degrees Rankin for some tables.

When faced with questions like the one you have, you can often get help by finding an online solved question. I leave it to you to determine whether this one is analogous to the question you face. http://www.learnthermo.com/examples/ch05/p-5c-4.php
Watch out superheated steam; it's invisible, and the burns they go deep. Remember ---

Fluidics, Thermodynamics of Fluids ... Good luck!
 
Last edited by a moderator:
Hi TMoore20. Welcome to Physics Forums.

The key to this question is the word saturated for the initial and final states. From the steam tables, you can get the internal energy of saturated steam at 1500 kPa and at 100 kPa. You don't have to know anything about the process that took the steam from the initial to the final state. The internal energy is a point function.

Chet
 

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