Heat in a const. pressure/volume calculation

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Discussion Overview

The discussion centers around the calculation of heat in thermodynamic processes at constant pressure and constant volume, using specific examples of a teapot and a water heater. Participants explore the differences in results obtained from various equations and methods, including the first law of thermodynamics and specific heat capacities.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents calculations for heat at constant pressure and constant volume using specific examples, leading to different results based on the methods used.
  • Some participants question the assumptions made regarding the constancy of pressure and volume in the examples provided.
  • Concerns are raised about the accuracy of the specific heat capacity values used in the calculations, with one participant suggesting that the average Cp value should be 4.186 instead of 1.875.
  • Another participant points out that the values used for internal energy may actually be enthalpy, which complicates the calculations.
  • There is a discussion about the validity of using different equations for calculating heat, with some participants arguing that the results should align if the correct values are used.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions made in the calculations, the appropriateness of the equations used, and the accuracy of the specific heat values. There is no consensus on the correct approach or the reasons for the discrepancies in results.

Contextual Notes

Participants note that the calculations depend heavily on the definitions and values used for specific heat capacities and internal energy. There are unresolved questions regarding the applicability of enthalpy values at different pressures.

  • #31
Hi guys,
I am back, because I found properties tables in the web, which aprove my 1st Cp value (1.875KJ/Kg K).
russ_watters asked where did I find this value?
Actully I got this value from calculation a formula for Cp(T), but recently I found it also in a textbook tables. So, now I am confused .. from one side I've got the same value as in the table, but from the other side I wonder if 300 deg K water could be considered as an ideal gas (water steam is appeared in the table under the title of ideal gas !)
Hereby the tables I used, see table A-2 (a) last row (also Cv value for that Temp is noted).
 

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  • #32
guideonl said:
Hi guys,
I am back, because I found properties tables in the web, which aprove my 1st Cp value (1.875KJ/Kg K).
russ_watters asked where did I find this value?
Actully I got this value from calculation a formula for Cp(T), but recently I found it also in a textbook tables. So, now I am confused .. from one side I've got the same value as in the table, but from the other side I wonder if 300 deg K water could be considered as an ideal gas (water steam is appeared in the table under the title of ideal gas !)
Hereby the tables I used, see table A-2 (a) last row (also Cv value for that Temp is noted).
That's the heat capacity of water vapor, and you are dealing with liquid water.
 
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  • #33
Chestermiller said:
That's the heat capacity of water vapor, and you are dealing with liquid water.
Sorry, I don't understand. The table's values are for 300 deg K ! Does it mean that the pressure is not atmospheric but lower than the atmospheric pressure? (to be at the vapor region associated to vapor at that temp.)
 
  • #34
guideonl said:
Sorry, I don't understand. The table's values are for 300 deg K ! Does it mean that the pressure is not atmospheric but lower than the atmospheric pressure? (to be at the vapor region associated to vapor at that temp.)
Are you saying you can’t have liquid water at 100 C?
 
  • #35
Chestermiller said:
Are you saying you can’t have liquid water at 100 C?

He said 300 K, which is about 27 C. I assume he's looking at saturation pressure values and mistaking the vapor one for the liquid one.
 
  • #36
Chestermiller said:
Are you saying you can’t have liquid water at 100 C?
No! That's not what I'm saying. Unless you did'nt notice, the A-2 table is related to 300 deg K!
 
  • #37
PeterDonis said:
He said 300 K, which is about 27 C. I assume he's looking at saturation pressure values and mistaking the vapor one for the liquid one.
Please refer to A-2 table (I've attached above), and explain what for Cp & Cv values stand? The title is odd, its for ideal gases @ 300 deg K (27 deg C). Water at this temp. are not vapor but liquid, unless you assume pressure is lower than atm. pressure.
 
  • #38
PeterDonis said:
He said 300 K, which is about 27 C. I assume he's looking at saturation pressure values and mistaking the vapor one for the liquid one.
Oops. Sorry that was a typo on my part. I meant 300 K. But, even at 100 C (373 K) liquid water could, of course, still exist. But anyhow, what I am saying is that the value in the table from Moran et al, Introduction to Engineering Thermodynamics that the OP presented is for water vapor, not liquid water.
 
  • #39
guideonl said:
Please refer to A-2 table (I've attached above), and explain what for Cp & Cv values stand? The title is odd, its for ideal gases @ 300 deg K (27 deg C). Water at this temp. are not vapor but liquid, unless you assume pressure is lower than atm. pressure.
You most certainly can have water as vapor or liquid at 300K. You are dealing with liquid water and your table is for vapor, so clearly you are using the wrong table.

[edit] Look at table A-3 or A-4.
 
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  • #40
russ_watters said:
You most certainly can have water as vapor or liquid at 300C

300 K, not 300 C. Your statement is still true at 300 K, of course.
 
  • #41
PeterDonis said:
300 K, not 300 C. Your statement is still true at 300 K, of course.
Yep, fixed.
 

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