Thermodynamics
Work (Adiabatic Process)
Work done during adiabatic expansion or compression.
Variables
WJ
Work
Work done by gas
P_1Pa
Initial pressure
Pressure at state 1
V_1m³
Initial volume
Volume at state 1
P_2Pa
Final pressure
Pressure at state 2
V_2m³
Final volume
Volume at state 2
γunitless
Heat capacity ratio
C_p/C_v
Derivation
W = ∫P dV with PV^γ = const. Also: W = nC_v(T_1 - T_2) = (P_1V_1 - P_2V_2)/(γ-1).
Your notes
0/5000
Common questions
What is the Work (Adiabatic Process) formula?
Work (Adiabatic Process) is written W = P₁ V₁ - P₂ V₂/γ- 1. Work done during adiabatic expansion or compression. It belongs to Thermodynamics, under First Law.
What are the units in W = P₁ V₁ - P₂ V₂/γ- 1?
In SI units, W is work, measured in kg·m²/s²; P_1 is initial pressure, measured in kg/(m·s²); V_1 is initial volume, measured in m³; P_2 is final pressure, measured in kg/(m·s²); V_2 is final volume, measured in m³; γ is heat capacity ratio (dimensionless).
How is the Work (Adiabatic Process) formula derived?
W = ∫P dV with PV^γ = const. Also: W = nC_v(T_1 - T_2) = (P_1V_1 - P_2V_2)/(γ-1). The result is W = P₁ V₁ - P₂ V₂/γ- 1.