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Table 4 Amplitude, rate constant and half time for single-phase, first-order kinetics fitted to the decrease and increase in gas production

From: Enhanced biomethane production rate and yield from lignocellulosic ensiled forage ley by in situ anaerobic digestion treatment with endogenous cellulolytic enzymes

Process

Equation

A (mL/g VS)

k (day−1)

t ½ (day)

R 2

1st phase decrease

\(y = A \cdot {\text{e}}^{ - kx}\)

51.4

0.432

1.6

0.986

2nd phase increase

\(y = A \cdot \left( {1 - {\text{e}}^{ - kx} } \right)\)

19.5

0.104

6.7

0.972

  1. Half time (t ½) was calculated for first-order kinetics using the relationship \(t_{{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-0pt} 2}}} = \frac{\ln 2}{k}\)