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Primary Equations Used in 1st Law Analysis.

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  • Essay length: 3560 words
  • Submitted: 19/06/2006
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Primary Equations Used in 1st Law Analysis

* First Law of Thermo for a closed system

*

* Ideal Gas Law:

P·V = m·R·T

* Universal Gas Constant:

? = 8.314 kPa m3/kgmol K

R = ?/MW

* Heat Transfer

o Conduction (Fourier Biot Law)

Q = k·A·?T/L

o Convection (Newton's Law of Cooling)

Q = h·A·(Tsurface-Tfluid)

o Radiation:

Q = ?·?·A·(T4 - Tsur4)

Stefan Boltzman Constant:

? = 5.67x10-8 W/m2·K4

* Work:

* Energy

E = U + PE + KE + .......

o Internal Energy

u = u (T,P)

u = u (T)

o Potential Energy

PE = m·g·z

o Kinetic Energy

KE = 1/2·m·?2

o Enthalpy

h = u + Pv

* Specific Heat

o Constant Volume Specific Heat

Cv = ?u/?T|V

Cv = du/dT

o Constant Pressure Specific Heat

CP = ?h/?T|P

CP = dh/dT

o Specific Heat Relationships

CP = CV + R

k = CP/CV

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