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Thermodynamics : (second law (cycles (Heat Engine
Thermal Efficiencies
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Thermodynamics :
second law
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closed system
Entropy Equation,
S2S1 = \int delta Q/T + Sgen
Entropy Change, s2s1
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Substance Types
when phase changes,
use tables
ideal gas,
(s2s1)=Cp0ln(T2/T1)Rln(P2/P1)
solids and liquids (no phase change),
s2s1=C*ln(T2/T1)
Heat transfer, \int delta Q/T
if adiabatic,
\int delta Q/T=0
if isothermal,
\int delta Q/T=Q/Tsystem
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cycles
Heat Engine
Thermal Efficiencies
Actual Efficiency,
\eta_he=W/Qh
Carnot (ideal) Efficiency,
\eta_he=1TL/Th
Heat Pump
Coefficient of Performance
Actual COP,
beta_hp=Qh/W
Carnot (ideal) COP,
beta_hp=Th/(ThTL)
Refrigerator
Coefficient of Performance
Actual COP,
beta_ref=QL/W
Carnot (ideal) COP,
beta_ref=TL/(THTL)
first law
open system
Energy Equation,
DEcv/Dt=QdotWdot+Sum_e(mdot
(h+ke+pe))Sum_i(mdot(h+ke+pe)
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Conservation of Mass
Closed Systems
(Control Mass Approach, Constant Mass)
m1=m2
\Delta m = 0
Open Systems
(Control Volume Approach, Constant Volume)
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