Thermodynamic Relations

# Thermodynamic Relations Notes | Study Mechanical Engineering SSC JE (Technical) - Mechanical Engineering

## Document Description: Thermodynamic Relations for Mechanical Engineering 2022 is part of Mechanical Engineering SSC JE (Technical) preparation. The notes and questions for Thermodynamic Relations have been prepared according to the Mechanical Engineering exam syllabus. Information about Thermodynamic Relations covers topics like and Thermodynamic Relations Example, for Mechanical Engineering 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Thermodynamic Relations.

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THERMODYNAMIC RELATIONS EQUILIBRIUM AND STABILITY

where
g is Gibbs function

•  Maxwell's equations

Joule-Thompson Effect

When a gas is throttled then first its temperature increase (heating) as the pressure decrease but after a particular pressure, temperature decrease (cooling) as pressure decrease. At different initial temperature different such pressure exist.

•  The curve connecting all transition point is inversion curve.
• The Joule-Thompson Coefficient is:

• For ideal gas μj = 0 i.e. in throttling process temperature of ideal gas remains constant.
• If initial temperature and pressure are within inversion curve, i.e. below maximum inversion temperature, cooling happens.
• Except Hydrogen and Helium the maximum inversion temperature of all the other gases is more than atmospheric temperature so cooling occurs in throttling of those gases.
• For Hydrogen and Helium maximum inversion temperature is below atmospheric temperature so heating occurs after throttling.
• For cooling of Hydrogen and Helium after throttling, they should initially be cooled below their maximum inversion temperature.
• There is no change in Temperature when an ideal gas is made to under go a Joule-Thompson expansion

Clausius-Clapeyron equation

• Clausis-Clayperon equation is a way of characterizing a discontinuous phase transition between two phases of matter of a single constituent.
• On a P-T diagram, the line separating two phases is known as the coexistence curve.

where dp/dT is the slope of the tangent to the co-existence curve at any point, l is the specific latent heat, T is the temperature and V is the specific volume change and S stands for specific entropy.

where,

Sf = entropy of the final phase

Si = entropy of the initial phase

Vf = volume of the final phase

Vi = volume of the initial phase

Triple Point

Phase diagram for water and any other substance on p–T coordinates.

•  Slope of sublimation curve at the triple point is greater than that of the vaporization curve.

i.e. (dy/dx)sublimation > (dy/dx)vaporization

• Gibbs phase rule for non reactive system

Degree of freedom:

f = c – p + 2
c — no. of components
p — no. of phases

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## Mechanical Engineering SSC JE (Technical)

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