The maximum growth yield coefficient for Bacillus subtilis...

The maximum growth yield coefficient for Bacillus subtilis growing on methanol is $0.4 \mathrm{~g} X / \mathrm{g}$ $S$. The heat of combustion of cells is $21 \mathrm{~kJ} / \mathrm{g}$ cells and for substrate it is $7.3 \mathrm{kcal} / \mathrm{g}$. Determine the metabolic heat generated by the cells per unit mass of methanol consumption.

Key Concepts

Unit Conversion and Energy Balances

In biochemical and thermodynamic calculations, converting energy units (such as from kcal to kJ) is fundamental to ensure consistency and accuracy. Establishing energy balances between substrate consumption and biomass formation is critical for assessing the overall energy efficiency of microbial systems and the extent of metabolic heat production.

Metabolic Heat Generation

Metabolic heat generation refers to the heat energy released during the conversion of substrate into biomass and byproducts through metabolic reactions. It is determined by the difference between the energy contained in the substrate and the energy retained in the synthesized biomass, reflecting the inefficiencies in energy conversion during cellular processes.

Growth Yield Coefficient

This coefficient represents the efficiency with which a microorganism converts substrate into new biomass, quantified as the mass of cells produced per mass of substrate consumed. It is essential in evaluating the energy partitioning between growth and maintenance processes during microbial metabolism.

Heat of Combustion

The heat of combustion is the energy released when a substance is completely oxidized. It provides a measure of the total energy content stored in the chemical bonds of a substance, such as a substrate or biomass, and is crucial for determining the energy available and the energy dissipated during microbial growth.

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