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Abstract

The temperature of a flame must be known in order to calculate convective and radiative heat transfer rates, which control pool-fire burning rates, flame spread rates, remote ignitions, damage to exposed items (e.g., structural steel, wiring), and response of thermal fire detectors or automatic sprinklers.

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Notes

  1. 1.

    In place of partial pressures, the concentrations of the species in moles/liter can be used in these formulae instead (see Chap. 13).

  2. 2.

    If \( {H}^{\mathrm{o}}-{H}_{298}^{\mathrm{o}} \) is not available from a table, it may be evaluated from the equation \( {H}^{\mathrm{o}}-{H}_{298}^{\mathrm{o}}={\displaystyle {\int}_{298}^T{C}_p\kern0.5em dT}. \) For C3H8, Cp = 0.09 kJ/mol⋅K at 298 K.

References

  1. J. van’t Hoff, cf. G. Lewis, M. Randall, K. Pitzer, and L. Brewer, Thermodynamics, McGraw-Hill, New York (1961).

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  2. D.R. Stull and H. Prophet, JANNAF Thermochemical Tables, 2nd ed., NDRS-NBS 37, National Bureau of Standards, Washington, DC (1971).

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Nomenclature

C p

Heat capacity at constant pressure (kJ/molâ‹…K)

ΔE o

Energy of products relative to energy of reactants, all at temperature T and 1 atm (kJ/mol)

ΔF o

Free energy of products relative to free energy of reactants, all at temperature T and 1 atm (kJ/mol)

ΔH o

Enthalpy of products relative to enthalpy of reactants, all at temperature T and 1 atm (kJ/mol)

K

Equilibrium constant (based on partial pressures expressed in atmospheres)

K

Degrees Kelvin

n

Number of moles (e.g., a mole of oxygen is 32 g)

p i

Partial pressure of ith species (atm)

p

Total pressure (atm)

R

Gas constant (kJ/mol â‹… K)

ΔS o

Entropy of products relative to entropy of reactants, all at temperature T and 1 atm (kJ/mol)

T

Absolute temperature (K)

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© 2016 Society of Fire Protection Engineers

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Friedman, R. (2016). Chemical Equilibrium. In: Hurley, M.J., et al. SFPE Handbook of Fire Protection Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2565-0_6

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  • DOI: https://doi.org/10.1007/978-1-4939-2565-0_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-2564-3

  • Online ISBN: 978-1-4939-2565-0

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