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Work of Expansion
Where a parcel of air rises in the atmosphere and its pressure decreases
Work of Expansion [Examples]
Orographic lifting, frontal lifting, low level convergence, buoyant rising of warm air, and mechanical mixing
First Law of Thermodynamics
heat added to the system (dq) → internal energy + kinetic energy → work
du = dq - dw
Thermodynamic Special Process: Isothermal
Temperature is constant; dT = 0
dq = CpdT - αdp
Thermodynamic Special Process: Isobaric
Pressure is constant; dp = 0
dq = CpdT - αdp
Thermodynamic Special Process: Isochoric
Volume is constant; dα = 0
dq = CpdT - pdα
Thermodynamic Special Process: Adiabatic
Heat is constant; dq = 0
dq = CpdT - αdp
Enthalpy
Total heat content of a system
h = u + pα
Potential Temperature
The temperature an air parcel would have if it were expanded or compressed adiabatically from its existing pressure and temperature to a standard pressure
Potential Temperature (Equation)
Theta = T (p0/p1)^R/cp
Second Law of Thermodynamics
The maximum fraction of heat that is converted into useful work
Second Law Concepts
Thermal energy will not spontaneously flow from colder to warmer objects
The entropy of the universe is constantly increasing
Entropy
The ratio change in heat to the absolute temperature
ds = dq/T
Reversible and Irreversible Processes
Reversible change: (ds) = 0
Irreversible change: (ds) > 0
Isentropic Process
Free Energy Functions: Helmholtz
Free Energy Functions: Gibbs