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Review of Concepts from
Thermal Physics |
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Temperature Kelvin – Celsius – Fahrenheit – Rankin Ttriple point = 273.16 K = 0°C TC = T – 273.16° TF = 9/5 TC + 32° |
Heat 1 cal = 3.969 X 10-3 BTU = 4.186 J 1 |
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Thermal Expansion DL = LaDT DV = VbDT |
Specific Heat dQ = cmdT = cmolarndT C = cm |
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Heat of Transformation Q = Lm |
Work and Changes in Volume
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First Law of Thermodynamics dU = dQ - dW Conservation of energy |
Thermodynamic Processes Adiabatic – no heat flow dQ = 0 Isometric – no volume change dV = 0 Isobaric – constant pressure Isothermal – constant temp. dT = 0 |
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Conduction
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Radiation – Stefan – Boltzmann Law Pr = seAT4 |
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Avogadro’s Number NA = 6.022 X 1023 part/mol |
Ideal Gas PV = nRT PV = kBNT N = nNA R = 8.31 J/mol K kB = 1.38 X 10-23 J/K |
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Work - Isothermal Process W = nRTln(Vf / Vi) (ideal gas) |
Temperature and Kinetic Energy KERMS = (3/2)kBT |
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Molar specific heat
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Ideal Gas Specific Heats CV = 3/2 R CP = CV + R dU = nCVdT |
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Equipartition Theorem U = f(1/2)kBT f = degrees of freedom |
Adiabatic Process – Ideal Gas PVg = constant g = CP / CV |
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Entropy dS = dQ/T
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Entropy in Spontaneous Processes DS > 0 across the whole systems for and spontaneous process |
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Combined first and second laws dU = TdS – dW dU = TdS – PdV ideal gas |
Efficiency of an Ideal Engine e = (TH – TC)/TH |
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Coefficient of Performance of an Ideal Refrigerator K = TC/(TH – TC) |
Carnot Cycle (ideal cycle)
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Boltzmann’s Entropy Equation S = kBlnW W = the multiplicity or density of states |
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