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Thermal Physics Equations Repeatedly Used in PDF

Thermal Physics   Print This Page       Download This Page
solid expansion
Δℓ = αℓ0ΔT
ΔA = 2αA0ΔT
ΔV = 3αV0ΔT
Liquid Expansion
ΔV = βV0ΔT
Sensible Heat
Q = mcΔT
Latent Heat
Q = mL
Ideal Gas Law
PV = nRT
molecular constants
nR =Nk
Maxwell-Boltzmann Distribution
−  mv2
p(v) =  4v2⎛
⎝		 m⎞3/2
⎠		 e2kT
vp2kT
molecular Kinetic Energy
⟨K⟩ = 3 kT
2
Molecular Speeds
vp = √  2kT
m
⟨v⟩ = v 8kT
πm
vrms = √  3kT
m
Heat Flow Rate
Φ̅ = ΔQ
Δt
Φ = dQ
dt
Thermal Conduction
Φ =  kAΔT
ℓ
Stefan-Boltzmann Law
Φ = εσA(T4 − T04)
Wien Displacement Law
max = b
T
Internal Energy
ΔU = 3⁄2nRΔT
Thermodynamic Work
W = −P dV
1st law of Thermo.
ΔU = Q + W
Entropy
ΔS = ΔQ
T
S = k log w
Efficiency
ℰreal = 1 − QC
QH
ℰideal = 1 − TC
TH
C.O.P
COPreal =  QC
QH − QC
COPideal =  TC
TH − TC
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