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BioTechnology QUESTION #10564
Question 1
The true yield coefficient $Y_{X/S}$ is defined as:
  • $Y_{X/S} = \dfrac{\text{substrate consumed}}{\text{biomass produced}}$
  • $Y_{X/S} = \dfrac{\text{biomass produced}}{\text{substrate consumed}}$✔️
  • $Y_{X/S} = \dfrac{\text{product formed}}{\text{substrate consumed}}$
  • $Y_{X/S} = \dfrac{\mu}{q_S}$
Correct Answer Explanation
The biomass yield coefficient is: $Y_{X/S} = \dfrac{\Delta X}{\Delta S}$ where $\Delta X$ is biomass produced (g) and $\Delta S$ is substrate consumed (g). It indicates metabolic efficiency — how much biomass is generated per unit substrate. The observed yield is lower than the true yield because maintenance energy consumption ($m_S$) diverts substrate from growth: $\dfrac{1}{Y_{obs}} = \dfrac{1}{Y_{X/S}} + \dfrac{m_S}{\mu}$.