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nivedh_89 (4653)

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Physics Formulas for Thermodynamics
Temperature Conversion
*T(°C) = 5/9 [T(°F) ? 32°F]
T(°F) = 9/5 T(°C) + 32°F
T(K) = T(°C) + 273.15 K
T = temperature
Boyle?s Law for a gas
T = constant

P = pressure

V = volume
Charles? Law for a gas
P = constant
Ideal Gas Law

N = number of molecules

Nmol = number of moles

k = 1.38066 x 10-23 J/K Boltzmann?s constant

R = kNA = 8.3145 J/(mol K) ideal gas constant
Translational kinetic energy K per gas molecule

 

Root mean square speed of a gas molecule

m = molecular mass

Internal energy U of a monatomic ideal gas

 

First Law of Thermodynamics

Q = heat added to system

W = work done by system
Work done by an ideal gas

 

Specific heat c for a given process

M = Nm = total mass

Specific heat cV of a monatomic ideal gas at constant volume

 

Specific heat cP of a monatomic ideal gas at constant pressure

 

Ratio of specific heats ?

 

Relation between cP and cV for an ideal gas

 

Adiabatic gas law

?Q = 0

Work done by a monatomic ideal gas in an adiabatic process

 

Latent heat of fusion

where QL and QS are measured at the freezing point

Latent heat of vaporization

where QV and QL are measured at the boiling point

Linear expansion

where ? is the coefficient of linear thermal expansion

Volume expansion

where ? is the coefficient of volume expansion

Heat Capacity C

 

Heat transfer H along a rod

k = thermal conductivity

A = cross-sectional area
? = rod length
Thermal resistance R and R-factor Rf

 

Wien?s displacement law
?max T = 2.898 x 10-3 K m

 

Power radiated

L = luminosity

? = 5.67 x 10-8 W/m2 K4 Stefan-Boltzmann constant
? = emissivity
Efficiency e of a heat engine

 

Efficiency of a reversible heat engine (Carnot cycle)

TC = cold temperature

TH = hot temperature
Entropy change ?S

 

Ratio relation for a reversible engine

 






heat added/lost while changing:
temperature in a constant state
speciificheat.gif (1019 bytes)
latent heat of fusion (melting) latentfusion.gif (1062 bytes)
latent heat of vaporization (vaporizing) latentvapor.gif (1049 bytes)
law of heat exchange,
within a closed system

conductivity

K is the thermal conductivity of the material

radiation
s is the Stefan-Boltzmann constant and equals 5.67 x 10-8 W m-2 K-4
e represents the emissivity
of a black body:
1 for a perfect absorber
[rough, dark surface]
and 0 for a perfect reflector
[bright, shiny surface]
power in a battery or resistor 
heat produced in a resistor
"rate of heat" production
heatpower.gif (951 bytes)
mechanical equivalent of heat 4186.gif (1416 bytes)
linear expansion




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