Temperature–entropy diagram

Thermodynamics

Branches

Classical · Statistical · Chemical
Equilibrium / Non-equilibrium
Thermofluids

Property diagrams
Intensive and extensive properties

State functions:
Temperature / Entropy (intro.) †
Pressure / Volume †
Chemical potential / Particle no. †
(† Conjugate variables)
Vapor quality
Reduced properties

Process functions:
Work · Heat

Material properties

Specific heat capacity

$c=$

$T$	$\partial S$
$N$	$\partial T$

Compressibility

$\beta=-$

$1$	$\partial V$
$V$	$\partial p$

Thermal expansion

$\alpha=$

$1$	$\partial V$
$V$	$\partial T$

Property database

Equations

Carnot's theorem
Clausius theorem
Fundamental relation
Ideal gas law
Maxwell relations

Table of thermodynamic equations

Potentials

Free energy · Free entropy

Internal energy	$U(S,V)$
Enthalpy	$H(S,p)=U%2BpV$
Helmholtz free energy	$A(T,V)=U-TS$
Gibbs free energy	$G(T,p)=H-TS$

History and culture

Philosophy:
Entropy and time · Entropy and life
Brownian ratchet
Maxwell's demon
Heat death paradox
Loschmidt's paradox
Synergetics

History:
General · Heat · Entropy · Gas laws
Perpetual motion
Theories:
Caloric theory · Vis viva
Theory of heat
Mechanical equivalent of heat
Motive power
Publications:
"An Experimental Enquiry Concerning ... Heat"
"On the Equilibrium of Heterogeneous Substances"
"Reflections on the
Motive Power of Fire"

Timelines of:
Thermodynamics · Heat engines

Art:
Maxwell's thermodynamic surface

Education:
Entropy as energy dispersal

Scientists

Daniel Bernoulli
Sadi Carnot
Benoît Paul Émile Clapeyron
Rudolf Clausius
Hermann von Helmholtz
Constantin Carathéodory
Pierre Duhem
Josiah Willard Gibbs
James Prescott Joule
James Clerk Maxwell
Julius Robert von Mayer
William Rankine
John Smeaton
Georg Ernst Stahl
Benjamin Thompson
William Thomson, 1st Baron Kelvin
John James Waterston

A temperature entropy diagram, or T-s diagram, is used in thermodynamics to visualize changes to temperature and specific entropy during a thermodynamic process or cycle. It is a useful and common tool, particularly because it helps to visualize the heat transfer during a process. For reversible (ideal) processes, the area under the T-s curve of a process is the heat transferred to the system during that process.^[1]

An isentropic process is depicted as a vertical line on a T-s diagram, whereas an isothermal process is a horizontal line.^[2]

References

^ "Temperature Entropy (T-s) Diagram - Thermodynamics - Thermodynamics". Engineers Edge. http://www.engineersedge.com/thermodynamics/temp_enthalpy_th_diagram.htm. Retrieved 2010-09-21.
^ "P-V and T-S Diagrams". Grc.nasa.gov. 2008-07-11. http://www.grc.nasa.gov/WWW/K-12/airplane/pvtsplot.html. Retrieved 2010-09-21.

Temperature–entropy diagram

See also

References