Calculate the yield factor for the production of acetic acid using Acetobacter a

Question

Calculate the yield factor for the production of acetic acid using Acetobacter acetic bacteria. The chemical equation for the conversion of acetic acid is given below: C_2 H_s OH (ETHANOL) + O_2 rightarrow CH_3 CO_2 H (ACETIC ACID) + H_2 O Acetobacter acetic is added into a vigorously aerated medium containing 10g ethanol. After some times, ethanol and acetic acid concentrations become 2g and 7.5g respectively. What is the yield coefficient of acetic acid produced from the batch culture? Determined the percentage of the observed yield coefficient in relation to the theoretical yield? (Mw of acetic acid = 60 g/mole: Mw of ethanol = 46 g/mole).

Explanation / Answer

Answer 1) By using a basis of 1 litre, the yield factor can be calculated as

Y= X ÷ S where X is the amount of substrate (acetic acid) used and S is the difference between the amount of nutrient medium and reagents.
According to the question, X = 7.5 g
S = (10g -2g) = 8g
By putting the values in the above formula, we get
Y = 7.5 ÷ 2 = 0.94 gproduct. gsubstrate-1

Answer 2) The theoretical yield is based on the mass of ethanol used for synthesis of acetic acid, thus, from the stoichiometric equation given above
Y = 1gmol of acetic acid ÷ 1gmol of ethanol

Molecular weight of acetic acid (CH3CO2H) = (12 X 1) + (1 X 3) + (12 X 1) + (16 X 2) + (1 X 1) = 12+3+12+32+1 =60 g / mole
Molecular weight of ethanol (C2H5OH) = (12 X 2) + (1 X 5) + (16 X 1) + (1 X 1) = 24 + 5 +16 + 1 = 46 g / mole

Therefore, Y = 60 ÷ 46 = 1.30 gacid.gethanol-1

Percentage of the observed yield can be calculated by
observed yield ÷ theoretical yield = (0.94 ÷ 1.30) × 100 = 72.3%

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