Diesel Cycle Work Done in Compresion and Expansion Calculator

Work done during adiabatic compression process (W_1-2):

Work done during adiabatic expansion process (W_3-4):

Pressure at state 1 (P₁):

Pressure at state 2 (P₂):

Pressure at state 3 (P₃):

Pressure at state 4 (P₄):

Volume at state 1 (V₁):

Volume at state 2 (V₂):

Volume at state 3 (V₃):

Volume at state 4 (V₄):

Ratio of specific heats (γ):

How This Is Calculated

Work Done in Compression: $$ W_{1-2} = \frac{ P_1 V_1 - P_2 V_2}{\gamma - 1} $$
Work Done in Expansion: $$ W_{3-4} = \frac{ P_3 V_3 - P_4 V_4}{\gamma - 1} $$
where:

W_1-2 = Work done during adiabatic compression process (1-2) (J)

W_3-4 = Work done during adiabatic expansion process (3-4) (J)

P₁ = Pressure at state 1 (Pa)

P₂ = Pressure at state 2 (Pa)

P₃ = Pressure at state 3 (Pa)

P₄ = Pressure at state 4 (Pa)

V₁ = Volume at state 1 (m³)

V₂ = Volume at state 2 (m³)

V₄ = Volume at state 3 (m³)

V₄ = Volume at state 4 (m³)

γ = Ratio of specific heats (m³)

Assumptions

The working fluid behaves as an ideal gas.
Compression and expansion stages are adiabatic.
There are no heat losses to surroundings.
Specific heats remain constant.

Related Calculators

Diesel Cycle Cutoff Ratio

Diesel Cycle Efficiency

Diesel Cycle Heat