Incomplete reaction and yield Depending on culture conditions, glucose can be ca

Question

Incomplete reaction and yield Depending on culture conditions, glucose can be catabolized by yeast to produce ethanol and carbon dioxide, or can be diverted into other biosynthetic reactions. An inoculum of yeast is added to a solution containing 18 K/L glucose. After some time, only 3.5 g/L glucose remains while the concentration of ethanol is 6 g/L. Determine: The fractional conversion of glucose to ethanol The fractional conversion of glucose, considering all the glucose that was consumed The yield of ethanol from glucose In gram/gram

Explanation / Answer

C6H12O6 ------------> 2 C2H6O + 2 CO2

For 1 L of solution -

Mass of ethanol = 6 g

Moles of ethanol = given mass / molar mass = 6 g / 46 g/mol = 0.1304 mole

According to the equation

1 mole of ethanol requires 0.5 mole of glucose

0.1304 mole of ethanol requires ( 0.1304 * 0.5) = 0.0652 mole of glucose.

Mass of glucose = Moles of glucose * Molar mass of glucose = 0.0652 mole * 180 g/mol of glucose

Mass of glucose = 11.736 g

Fractional conversion of glucose to ethanol = 11.736 g / 18 g = 0.652

Fractional conversion of glucose considering all the glucose that was consumed = 11.736 g / (18 - 3.5) g = 0.809

Yield of ethanol from glucose = 6 g/L / ( 18 - 3.5) g/L

Yield of ethanol from glucose = 0.414 gram / gram

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