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Task What mass of glucose from com must be fermented to produce ethanol which wi

ID: 1047962 • Letter: T

Question

Task What mass of glucose from com must be fermented to produce ethanol which will produce enough energy to drive a car for 115.Km? The energy produced when 1 mole of ethanol bums is 1368kJ. Determine the volume of air needed for the combustion of the ethanol and the mass of carbon dioxide produced. (On average a car uses 2.40MJ of energy for every kilometer travelled. You may assume that all the fuel in the car is ethanol, that the fermentation process has a 100% yield and that oxygen constitutes 20% of air by volume. Use the volume of gas at 25 degree C and 1 atm is 24L/mol.) [Begin by writing equations for the fermentation process]. _______________________

Explanation / Answer

mass of glucose fermented for...

D = 115 km of a car

1 mol of ethanol = 1368 kJ

find air needed for combustion

2.4 MJ per km

total energy for 115 km:

E = d*E = 115*2.4 = 276 MJ required

for ethanol:

E ethanol = -1370.7 kJ/mol

mol of ethanol required:

n = E total / Eethanol = (276*10^6 ) / (1370.7 ) =201356.970 mol of ethanol

mass = mol*MW = 201356.970*46 = 9262420.62 g = 9262.420.62 = 9262 kg of ethanol

1 mol of glucose = 2 mol of ethanol

so we require:

201356.970 / 2 = 100678.485 mol of glucose

mass = mol*MW = 100678.485*180 = 18122127.3 g of glucose = 18122.13 kg of glucose

1 mol of ethanol --> 3 mol of O2

201356.970 mol of ethanol = 201356.970 *3 = 604070.91 mol of O" required

mol of air = 604070.91/0.21 = 2876528.14286 mol of air

volume --> 1 mol = 22.4 L

2876528.14286 mol = 2876528.14286*22.4 )= 64434230.4001 Liter of air

CO2 produced from combustion of ethanol

1 mol oethanol = 2 mol of cO2

201356.970 mol ethanol = 2*201356.970 = 402713.94 mol of CO2

mass = mol*¨MW = 402713.94*44 = 17719413.36 g of CO2

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