Biochemical Pathway · Starch → Glucose → Ethanol
Starch
(C6H10O5)n
Amylose & amylopectin
Glucose
C6H12O6
Fermentable sugar
Hydrolysis
α-amylase & glucoamylase
+ H2O
x1.11 mass factor
Fermentation
S. cerevisiae (yeast)
anaerobic
x0.511 yield factor
(C6H10O5)n
+ nH2O →
nC6H12O6
α-amylase + glucoamylase
C6H12O6
→
2C2H5OH + 2CO2
S. cerevisiae
Mathematical Formulations
Dry mass
All downstream stoichiometry runs on dry-basis mass:
m_dry [kg] = m_as-received × (1 − M)
where M is moisture mass fraction.
Hydrolysis: starch → glucose
Polymeric starch (anhydroglucose, MW 162.14) is enzymatically converted to free glucose (MW 180.16). Each cleavage adds one water molecule, so glucose mass exceeds starch mass:
hydrolysis factor = 180.16 / 162.14 ≈ 1.11
Fermentation: glucose → ethanol
The Gay-Lussac stoichiometry C6H12O6 → 2 C2H5OH + 2 CO2 sets the upper bound:
ethanol yield factor = (2 × 46.07) / 180.16 ≈ 0.511
CO2 fraction = 1 − 0.511 = 0.489
Process efficiency factors
Real industrial plants run below the maximum. Two factors close the gap:
eta_ferm — fermentation efficiency (default 92%)
eta_starch — starch recovery, wet-grind only (default 95%)
eta_oil_DG — back-end oil extraction, dry-grind only (default 50%)
Process-aware mass balance
m_glucose = m_dry × (X_starch × eta_starch × 1.11 + X_sugars)
m_ethanol = m_glucose × eta_ferm × 0.511
m_CO2 = m_glucose × eta_ferm × 0.489
Dry-Grind co-products
m_cornoil_DG = m_dry × X_oil × eta_oil_DG
m_DDGS = m_dry × (1 − (X_starch + X_sugars) × eta_ferm) − m_cornoil_DG
Wet-Grind co-products
m_cornoil_WG = m_dry × X_oil × 0.85
m_CGM = m_dry × X_protein × 0.50
m_CGF = m_dry × ( X_fiber + X_ash + X_other
+ X_starch × (1 − eta_starch)
+ X_oil × (1 − 0.85)
+ X_protein × (1 − 0.50) )