Step 1: Understanding the Concept:
Homofermentative lactic acid bacteria (such as Lactococcus lactis) ferment sugars exclusively through the Embden-Meyerhof-Parnas (glycolytic) pathway, converting hexoses almost quantitatively into lactic acid with the generation of ATP.
Step 2: Detailed Explanation:
Let us analyze the stoichiometry of lactose fermentation:
Lactose is a disaccharide consisting of glucose and galactose.
In homofermentative dairy lactococci, lactose is internalized via a phosphoenolpyruvate-dependent phosphotransferase system (PEP-PTS) as lactose-6-phosphate, which is then cleaved into glucose and galactose-6-phosphate.
- The glucose molecule enters glycolysis, yielding \( 2\text{ moles} \) of lactic acid and a net of \( 2\text{ moles} \) of ATP.
- The galactose-6-phosphate molecule is metabolized via the tagatose-6-phosphate pathway, which also yields \( 2\text{ moles} \) of lactic acid and a net of \( 2\text{ moles} \) of ATP.
Combining both pathways, the fermentation of \( 1\text{ mole} \) of lactose yields exactly:
- \( 4\text{ moles} \) of lactic acid (lactate),
- \( 4\text{ moles} \) of ATP (from \( 4\text{ ADP} \) and \( 4\text{ H}_3\text{PO}_4 \)).
This metabolic equation is represented by:
\[ \text{Lactose} + 4\text{ ADP} + 4\text{ H}_3\text{PO}_4 \rightarrow 4\text{ Lactic Acid} + 4\text{ ATP} + 3\text{ H}_2\text{O} \]
This matches option 2.
Step 3: Final Answer:
The correct equation is option 2.