What Does Enthalpy Represent in Thermodynamics?

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SUMMARY

Enthalpy (h) in thermodynamics is defined as the sum of internal energy (u) and flow work (Pv), where P represents pressure and V represents volume. The critical point in phase diagrams signifies the condition where phase transitions become continuous rather than discrete. A gas is considered ideal when its reduced pressure (Pr) is less than 10 and its reduced temperature (Tr) is greater than 2, or when Pr is significantly less than 1. Understanding these concepts is essential for analyzing thermodynamic systems and their behaviors.

PREREQUISITES
  • Understanding of internal energy (u) in thermodynamics
  • Familiarity with pressure (P) and volume (V) concepts
  • Knowledge of phase diagrams, specifically t-v and p-v diagrams
  • Basic principles of ideal gas behavior and critical points
NEXT STEPS
  • Study the derivation and applications of the enthalpy equation h = u + Pv
  • Explore the significance of critical points in phase transitions
  • Research the conditions under which gases behave ideally, focusing on reduced pressure and temperature
  • Examine the mathematical representation of work done by pressure in fluid dynamics
USEFUL FOR

Students and professionals in thermodynamics, chemical engineering, and physical sciences who seek to deepen their understanding of energy properties and phase behavior in thermodynamic systems.

ahmedbadr
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well, I've some questions abt basics of thermodynamics
(1)what is the meaning of enthalpy(h) i know h=u+pv but i don't know what it means, i know what internal energy means but i don't know what's the difference between internal energy and enthalpy,what's the meaning of quantity (pv) what does it indicate for? i know p is pressure and v is volume nut my question how can it be an energy? as i think it doesn't represent work because h is property for state and u can't say there's work in the same state ?so i can't inteprete what's the meaning of h or what's the difference between u & h?

(2)2nd question abt diagrams of pure substances (t-v diagram, p-v diagram) what is the meaning of critical point in these diagrams?

(3)3rd question abt ideal gases,my question here is when can i consider the gas is ideal? i can consider it the gas behaves an ideal gas when its density is low?or when its pressure is low and its temperature is high relative to its critical point(indeed can't get what critical point has to do with this because basically i don't get exactly physical meaning of critical point)?
 
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ahmedbadr said:
well, I've some questions abt basics of thermodynamics
(1)what is the meaning of enthalpy(h) i know h=u+pv but i don't know what it means, i know what internal energy means but i don't know what's the difference between internal energy and enthalpy,what's the meaning of quantity (pv) what does it indicate for? i know p is pressure and v is volume nut my question how can it be an energy? as i think it doesn't represent work because h is property for state and u can't say there's work in the same state ?so i can't inteprete what's the meaning of h or what's the difference between u & h?

Enthalpy is a term of convenience. It conveniently groups two frequently used terms into one term. The Pv term is the flow work. The difference between the internal energy and enthalpy is just the addition of the flow work.

ahmedbadr said:
(2)2nd question abt diagrams of pure substances (t-v diagram, p-v diagram) what is the meaning of critical point in these diagrams?

The critical point is the point at which the phase transition is no longer discrete (i.e. it could be a compressed liquid or superheated vapor beyond the critical point).

ahmedbadr said:
(3)3rd question abt ideal gases,my question here is when can i consider the gas is ideal? i can consider it the gas behaves an ideal gas when its density is low?or when its pressure is low and its temperature is high relative to its critical point(indeed can't get what critical point has to do with this because basically i don't get exactly physical meaning of critical point)?

A gas will behave as an ideal gas if one of the two conditions are met:

1) Pr < 10 and Tr > 2, or P < 10Pcr and T > 2Tcr
2) Pr << 1 or P << Pcr

CS
 
work done

ahmedbadr said:
… what's the meaning of quantity (pv) what does it indicate for? i know p is pressure and v is volume nut my question how can it be an energy? as i think it doesn't represent work because h is property for state and u can't say there's work in the same state ?

Hi ahmedbadr! :smile:

I'll just add:

pressure = force/area,

so pressure x volume = force x distance = work done …

to be precise:

Pressure = work done per displaced volume:

Imagine a particular mass of fluid, occupying a region R, whose surface is S. After a short time, it will occupy a slightly different region R'.

R and R' will mostly overlap, but there will be a region R- at the back of R which has been vacated by the mass, and a new region R+ at the front, into which the mass has moved and displaced other fluid.

The work done by the pressure [itex]P[/itex] on the whole mass is the surface-integral, over every part of the surface, of pressure times area "dot" the distance through which that part has moved:

[tex]\int_S\,P\,\bold{x}\cdot\hat{\bold{n}}\,dA[/tex]

which, since the pressure always acts inward, and therefore acts against the displacement on R+, is simply the volume-integral of the pressure over R- minus its volume-integral over R+:

[tex]\int_{R_-}\,P\,dV\ -\ \int_{R_+}\,P\,dV[/tex]
 

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