Otto Cycle Temperature Calculator

Temperature at the beginning of the compression stroke (T₁) :

Temperature after the compression stroke (T₂) :

Temperature at the beginning of the expansion stroke (T₃) :

Temperature after the expansion stroke (T₄) :

Volume of the cylinder beginning of the compression stroke at bottom dead center (V₁):

Volume of the after the compression stroke at top dead center (V₂):

Volume of the cylinder beginning of the expansion stroke stroke at top dead center (V₃):

Volume of the cylinder after the expansion stroke at bottom dead center (V₄):

Specific heat at constant volume (C_v):

How This Is Calculated

During compression (process 1-2): $$ T_2 = T_1 \cdot \left(\frac{V_1}{V_2}\right)^{\gamma - 1} $$ During expansion (process 3-4): $$ T_4 = T_3 \cdot \left(\frac{V_3}{V_4}\right)^{\gamma - 1} $$
where:

T₁ = Temperature at the beginning of the compression stroke (K)

T₂ = Temperature after the compression stroke (K)

T₃ = Temperature at the beginning of the expansion stroke (K)

T₄ = Temperature after the expansion stroke (K)

V₁ = Volume of the cylinder at the beginning of the compression stroke at bottom dead center (m³)

V₂ = Volume of the cylinder after the compression stroke at top dead center (m³)

V₃ = Volume of the cylinder at the beginning of the expansion stroke stroke at top dead center (m³)

V₄ = Volume of the cylinder after the expansion stroke at bottom dead center (m³)

γ = Ratio of specific heats (Dimensionless)

Assumptions

The working fluid behaves as an ideal gas.
Specific heats remain constant.
Compression and expansion processes are adiabatic.
There is perfect mixing of the air and fuel.

Related Calculators

Otto Cycle Compression Ratio

Otto Cycle Efficiency

Otto Cycle Heat Added (Combustion Process)

Otto Cycle Heat Rejected (Exhaust Process)

Otto Cycle Pressure