Density and Temperature (Isentropic Relationships) Calculator

Density and Temperature Isentropic Relationship Calculator

Density at point 1 (ρ₁):

Density at point 2 (ρ₂):

Temperature at point 1 (T₁):

Temperature at point 2 (T₂):

Ratio of Specific Heats (γ):

How This Is Calculated

$$ \frac{\rho_2}{\rho_1} = \left( \frac{T_2}{T_1} \right)^{\frac{1}{\gamma - 1}} $$ where:

ρ₁ = Density at point 1 (kg/m³)

ρ₂ = Density at point 2 (kg/m³)

T₁ = Temperature at point 1 (K)

T₂ = Temperature at point 2 (K)

γ = Ratio of Specific Heats (Dimensionless)

Assumptions

The process is isentropic.
Specific heat ratio remains constant.
The system is in steady-flow.
The fluid behaves as an ideal gas.
Fluid is homogeneous.

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