## Thermodynamic Relation for the Endogeneous Decay Parameter k

According to equation 15c, kd can be calculated from the relations for F^X and mG found previously (equations 9c and 10a). Substitution gives kd =

l/YSX

The values of mG and F^X are obtained from the thermodynamic correlations equations 2 and 3. This equation shows that for aerobic heterotrophic growth (where 1/F!mx ^ 300-800 kJ/C-mol biomass) the expected kd will be a factor three times larger than for aerobic autotrophic growth (such as nitrification, for which 1/FmX ^ 3500 kJ/ C-mol x). This has indeed shown to be the case (4), indicating that equation 18 is useful.

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