Correction to: Severity factor as an efficient control parameter to predict biomass solubilization and saccharification during acidic hydrolysis of microalgal biomass

Correction to: BioEnergy Research (2018) 11:491–504

https://doi.org/10.1007/s12155-018-9913-4

FormalPara Reference:

de Farias Silva, C.E., Bertucco, A. Severity Factor as an Efficient Control Parameter to Predict Biomass Solubilization and Saccharification during Acidic Hydrolysis of Microalgal Biomass. Bioenerg. Res. 11, 491–504 (2018). https://doi.org/10.1007/s12155-018-9913-4

Erratum text:

The corrected Eq. 7 is:

$$ \frac{dPol}{dt_2}=-{kPol}^n\kern1.00em \left(T\;\mathrm{and}\;\left[{H}^{+}\right]\mathrm{constant}\right) $$

(7)

which effectively gives Eq. 10 when integrated.

$$ \frac{Pol^{1-n}-{Pol_0}^{1-n}}{n-1}=k{t}_2={k}_0{e}^{\frac{-{E}_a}{R{T}_r}}\ {e}^{\frac{E_a}{R}\ \left(\frac{T-{T}_r}{T_r^2}\right)}{\left[{H}^{+}\right]}^m{t}_2 $$

(10)

It is important to realize that the Arrhenius equation was modified by the inclusion of the acid concentration [H⁺] and its respective reaction order m (Eq. 8 in the original manuscript). Also, a two-term Taylor expansion of the Arrhenius equation as a function of temperature (T) and using T_r = 100 °C as reference temperature was applied as demonstrated by Eq. 9 in the original manuscript, represented as:

$$ k={k}_0{e}^{\frac{-{E}_a}{R{T}_r}}\ {e}^{\frac{E_a}{R}\ \left(\frac{T-{T}_r}{T_r^2}\right)}{\left[{H}^{+}\right]}^m $$

(9)

Submitted to Bioenergy Research: May, 2020.