How much ethanol in litters can be theoretically produced in fermentation proces

Question

How much ethanol in litters can be theoretically produced in fermentation process if a starting biomass contains 2000.0 g of sugar? Atomic weights in g/mol: carbon 12, hydrogen 1.0, oxygen = 16. Density of ethanol is 0.789g/mL. How many millions of hectares of land must be used for sugar cane crops to produce enough ethanol for complete conversion of the US gasoline supply to ethanol? Use 2011 data for gasoline consumption in the US and estimates for mean yield of ethanol per hectare given in the lecture notes. Express result with 3 significant figures. You are designing a remote location energy with three technology options ethanol biofuel from sugar cane, wind turbine, and solar photovoltaic The available area is 100 Hz. Rank these technologies in the order of increasing energy output from the given land area. Assume that the energy content of ethanol is 24 MJ/L and use data for maximum production in L/Ha. Solar irradiation for that location is 2.74 kWh/m^2/day and the photovoltaic system efficiency is 10%. For wind turbines assume annual mean wind speed of 10m/s, rotor diameter 100m, and a turbine performance factor of 3.2. a. Energy output is the same. b. Wind, solar PV, ethanol. c. Solar PV, ethanol, wind. d. Ethanol, wind, solar PV. e. Ethanol, solar PV, wind.

Explanation / Answer

Let the suger is glucose C6H12O6

Molar mass of glucose = 180 g/mol

Moles of sugar = 2000 g /180 g/mol = 11.111 moles

1 mole of sugar gives 2 moles of ethanol and 1 mole of CO2

So moles of ethanol = 2*11.11 = 22.22 moles

Mass of ethanol = 22.22 moles * 46 g/mol = 1022.12 grams

Volume of ethanol = 1022.12 grams / 0.789 g/mL

= 1295.5 mL

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