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.
Your notes
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Common questions
What is the Adiabatic Process formula?
Adiabatic Process is written PV^γ= constant. Relationship for adiabatic (no heat transfer) process. Also: T₁V₁^(γ-1) = T₂V₂^(γ-1). It belongs to Thermodynamics, under First Law.
What are the units in PV^γ= constant?
In SI units, P is pressure, measured in kg/(m·s²); V is volume, measured in m³; γ is heat capacity ratio (dimensionless).
How is the Adiabatic Process formula derived?
From first law with Q=0: dU = -PdV. Using PV = nRT and U = nC_vT, derive PV^γ = constant. The result is PV^γ= constant.