Thermodynamic Property Calculator v1.0

Compute key thermodynamic properties for ideal gases using inputs like pressure, temperature, and volume.

Note: All calculations are performed on a mass basis (per kg) for consistency.

Input Parameters

Results

Basic Properties
Pressure (P): -
Volume (V): -
Temperature (T): -
Density (ρ): -
Energy Properties (per kg)
Internal Energy (u): -
Enthalpy (h): -
Entropy Change (Δs): -
Gas Properties
Specific Heat at Constant Volume (Cv): -
Specific Heat at Constant Pressure (Cp): -
Heat Capacity Ratio (γ): -
Specific Gas Constant (R): -
Total Values
Total Internal Energy (U): -
Total Enthalpy (H): -

Key Equations Used

Ideal Gas Law (Mass Basis)

Pv = RT or P = ρRT

Where:

  • P: Pressure (kPa)
  • v: Specific volume (m³/kg)
  • ρ: Density (kg/m³) = 1/v
  • R: Specific gas constant (kJ/kg·K)
  • T: Temperature (K)

Internal Energy (u)

u = Cv·T

Where:

  • u: Specific internal energy (kJ/kg)
  • Cv: Specific heat at constant volume (kJ/kg·K)

Enthalpy (h)

h = Cp·T

Where:

  • h: Specific enthalpy (kJ/kg)
  • Cp: Specific heat at constant pressure (kJ/kg·K)

Entropy Change (Δs)

Isothermal Process: Δs = R·ln(v₂/v₁)

General Process: Δs = Cp·ln(T₂/T₁) - R·ln(P₂/P₁)

Where:

  • Δs: Specific entropy change (kJ/kg·K)
  • v₁, v₂: Initial and final specific volumes
  • T₁, T₂: Initial and final temperatures
  • P₁, P₂: Initial and final pressures

Educational Guide

Thermodynamic Properties Explained

Property Symbol Unit Description
Pressure P kPa Force exerted by gas molecules per unit area of container walls
Specific Volume v m³/kg Volume occupied by unit mass of the gas
Temperature T K Measure of average kinetic energy of gas molecules
Internal Energy u kJ/kg Energy stored within gas molecules per unit mass
Enthalpy h kJ/kg Heat content per unit mass at constant pressure (h = u + Pv)
Entropy s kJ/kg·K Measure of system disorder per unit mass

About the Thermodynamic Property Calculator

This tool calculates fundamental thermodynamic properties for ideal gases based on standard thermodynamic principles.

Key Changes in v1.0 (Fixed)

  • All calculations now consistently use mass-specific properties (per kg)
  • Removed molar calculations that caused confusion
  • Added density and specific gas constant outputs
  • Separated specific (per kg) and total values in results
Caution: For real gases or high-pressure/low-temperature conditions, use property tables or real gas equations of state (like Van der Waals or Peng-Robinson).