Thermodynamics - I am so frustrated

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SUMMARY

The discussion focuses on calculating the final temperature of water at 100 kPa and 127°C after adding 700 kJ/kg of heat using three methods: the water table, ideal-gas table, and constant specific heat. The user successfully utilized the superheated water table to find an initial internal energy (u1) of 2547.618 kJ/kg and calculated a final temperature of 568°C. However, they expressed confusion regarding the application of the ideal gas tables and the constant specific heat method, indicating a need for clarification on these approaches.

PREREQUISITES
  • Understanding of thermodynamic properties of water, specifically superheated water tables.
  • Familiarity with the concept of specific heat capacity (Cp) and its calculation.
  • Knowledge of thermodynamic equations, particularly the heat transfer equation Q = mCp(T2-T1).
  • Basic understanding of interpolation methods for thermodynamic data.
NEXT STEPS
  • Research the use of ideal gas tables for calculating properties of water vapor.
  • Study the derivation and application of specific heat capacity equations for varying temperatures.
  • Learn about interpolation techniques in thermodynamics for more accurate calculations.
  • Explore the differences between superheated and saturated water properties in thermodynamic tables.
USEFUL FOR

Students and professionals in thermodynamics, particularly those working with heat transfer calculations in fluids, as well as educators seeking to clarify concepts related to specific heat and thermodynamic tables.

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Homework Statement



Water @ 100kPa and 127 C
Heat added electrically 700kJ/kg
Find final temp using:
a. water table
b. ideal-gas table
c. constant specific heat

Homework Equations



Cp = a + bT + cT^2 + dT^3
the constants are also listed in the table

The Attempt at a Solution



by using the superhead water table to find u1 at 2547.618 kJ/kg, I added the 700 kJ/kg and then interpilated to get a final temp of 568 C. This seems correct.

I don't see how one can use the ideal gas tables, and I am at a loss as how to use the constant specific heat to find the final temp. Please advise as how to compute! Thanks
 
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(ugh...I may not be so much help after all, I seem to have forgotten a lot

but maybe it's helpful anyway...I'm pretty sure about the stuff I have below, it just doesn't agree with your answer for a, and I don't know why not)let's see if the other methods agree with your answer for a)

let's try c)

a little of the ol'

Q = mCp(T2-T1)

we don't have the mass...but we don't need it either since q = Q/m

(they gave us the heat in kJ/kg)

q = Cp(T2-T1)

so, you have q, you can look up Cp from the tables...which makes me wonder if I'm really doing part b) hmm...probably, and for part c you have to calculate Cp using the a, b, c, d constants from another table? anyways: you know the initial temperature (T1)

be careful with your units...and you should have a nice looking answer
 
Last edited:
Well, I see then how c) makes sense but like you say, it is WAY off a).

Thanks for the reply tho, I appreciate it bud.
 

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