Thermodynamics
Adiabatic Process
Relationship for adiabatic (no heat transfer) process. Also: T₁V₁^(γ-1) = T₂V₂^(γ-1).
Variables
PPa
Pressure
Gas pressure
Vm³
Volume
Gas volume
γunitless
Heat capacity ratio
C_p/C_v (1.4 for diatomic)
Derivation
From first law with Q=0: dU = -PdV. Using PV = nRT and U = nC_vT, derive PV^γ = constant.
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