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How this tool works

Textbook problems hand you ΔH° and S° at 298 K and stop there. This tool uses NASA’s nine-term polynomial fits, so every property is computed at the temperature you choose rather than assumed constant.

The reaction module sums those fits over a balanced equation to give ΔH°(T), ΔS°(T), ΔG°(T), and log₁₀ K, and locates the crossover temperature by solving the real curve instead of rearranging a constant-ΔH° estimate.

Each species panel shows the record behind the numbers: the fitted temperature intervals, the molar mass, the enthalpy of formation, and the literature reference NASA cites for that species.

Core equations

Cp°/R = a₁T⁻² + a₂T⁻¹ + a₃ + a₄T + a₅T² + a₆T³ + a₇T⁴H°/(RT) = −a₁T⁻² + a₂ln(T)/T + a₃ + a₄T/2 + a₅T²/3 + a₆T³/4 + a₇T⁴/5 + b₁/TS°/R = −a₁T⁻²/2 − a₂T⁻¹ + a₃ln(T) + a₄T + a₅T²/2 + a₆T³/3 + a₇T⁴/4 + b₂ΔG° = ΔH° − TΔS°, ln K = −ΔG°/(RT)

Assumptions

  • All species are in their standard states at 1 bar, and gases are treated as ideal.
  • The enthalpy fit is referenced so that H°(298.15 K) equals the standard enthalpy of formation, which is what lets a reaction sum give ΔrH° directly.
  • Equilibrium constants are the standard-state thermodynamic values; no activity or fugacity corrections are applied.

Limitations

  • This tool evaluates NASA’s thermodynamic database. It does not perform equilibrium composition calculations by free-energy minimisation, and it does not reproduce CEA’s rocket performance, detonation, or shock-tube capabilities.
  • Only 49 of roughly 2000 species in the upstream database are bundled, chosen to cover general chemistry and combustion. The extraction script regenerates the set if more are needed.
  • Each species is fitted over specific temperature intervals. Outside them the nearest interval is extrapolated and the tool marks the result as an extrapolation; graphite, for instance, is fitted from 300 K, so 298.15 K is already slightly outside.
  • Condensed-phase fits do not span phase transitions. Crossing a melting or boiling point requires switching to the species record for the other phase.

References and verification

  • NASA Glenn Coefficients for Calculating Thermodynamic Properties of Individual SpeciesMcBride, B.J., Zehe, M.J., Gordon, S., NASA TP-2002-211556, 2002. The source of the polynomial form and the fitted coefficients.
  • NASA CEA (Chemical Equilibrium with Applications)github.com/nasa/cea, Apache License 2.0. Coefficients are taken from data/thermo.inp. A 49-species subset was selected and converted from fixed-width records to typed data; the values are unchanged. See licenses/nasa-cea/ for the license, notice, and modification statement. Not affiliated with or endorsed by NASA.