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36 Cards in this Set

  • Front
  • Back

Isobaric Expressions for W, Q, and ∆U


Isochoric Expressions for W, Q, and ∆U


Isothermal Expressions for W, Q, and ∆U


Adiabatic Expressions for W, Q, and ∆U and Related Relations


γ for various ideal gasses
= 5/3 for monatomic
   = 7/5 for diatomic
   = 9/7 for triatomic

= 5/3 for monatomic


= 7/5 for diatomic


= 9/7 for triatomic

Heat Engine Efficiency η


∆U all processes
∆U = Q - W

∮(δQ - δW) = 0



Relationship between C_v, C_p, and R


       = 3R/2 for monatomic
       = 5R/2 for diatomic
       = 7R/2 for triatomic



= 3R/2 for monatomic


= 5R/2 for diatomic


= 7R/2 for triatomic



COP Heat Pump


Entropy Integrals

∮δQ/T ≤ 0


∮δQ/T = 0 for reversible processes




∫δQ/T = S₂ - S₁ for reversible processes


∫δQ/T ≥ S₂ - S₁ for irreversible processes

Change in Entropy


Availability or Exergy


Definition of Heat

Energy that spontaneously passes between a system and its surroundings in some way other than through work or the transfer of matter (Wikipedia)

Definition of Internal Energy

Energy contained within the system, including the kinetic and potential energy as a whole (Wikipedia)

Definition of Work

Energy transferred by the system to its surroundings




Accounted for solely by macroscopic forces exerted on the system by factors external to it (e.g. Gravity, Pressure) (Adapted from Wikipedia)

Definition of Entropy

The energy of a system that is unavailable for doing useful work (Wikipedia)

Definition of Exergy

The maximum useful work possible during a process that brings the system into equilibrium with a heat reservoir (Wikipedia)

The First Law

It is in no way possible... to obtain perpetual motion (Plank)




If any system is carried through a cycle, then the summation of work delivered to the surroundings is proportional to the summation of heat taken from the surroundings (Keenan)

The Second Law


(three corollaries on separate cards)

Kelvin-Plank Statement: It is impossible for an engine operating in a cycle to produce a positive work output if in communication with only one thermal reservoir

The Second Law: Corollary 1

It is impossible to construct an engine to work between two heat reservoirs, each having a fixed and uniform temperature, which will exceed in efficiency a reversible engine working between the same reservoirs

It is impossible to construct an engine to work between two heat reservoirs, each having a fixed and uniform temperature, which will exceed in efficiency a reversible engine working between the same reservoirs

The Second Law: Corollary 2

All reversible engines between the same two reservoirs have the same efficiency

The Second Law: Corollary 3

A temperature scale may be defined which is independent of the nature of the thermometric substance

A temperature scale may be defined which is independent of the nature of the thermometric substance

Intensive Properties

Independent of mass (e.g. temperature, pressure)

Extensive properties

Directly proportional to the mass of the homogeneous substance (e.g. energy, entropy, volume)

[[Temperature Entropy Diagram]]

Vertical lines: adiabatic


Horizontal lines: isothermal

Specific Properties

Extensive properties per unit mass

Isentropic Process

A process in which entropy remains constant


i.e. reversible adiabatic process

Interpolation

u = u₁ + [(v - v₁) / (v₂ - v₁)] · (u₂ - u₁)




Can be done with any two properties. u = the value you want, v = the value you know, any symbols with subscripts are from the tables.

Specific Enthalpy

h = u + pv




the total heat content of a system / unit mass

Mass of a Control Volume


(Rate of Change)


Control Volume Energy Changes (six)


Control Volume Energy Conservation


(Rate of Change)



(Remember, h is enthalpy)





(Remember, h is enthalpy)

Control Volume Entropy Balance


(Rate of Change)






W for Isentropic Control Process


Quality (Applies to 4 items)


1. Specific enthalpy
2. Specific entropy
3. Specific volume
4. Specific internal energy



1. Specific enthalpy


2. Specific entropy


3. Specific volume


4. Specific internal energy

Specific Heat Ratio