Question

Cells use the hydrolysis of adenosine triphosphate (atp) as a source of energy. the conversion of atp to adp has a standard free-energy change of -30.5 kj/mol. the fermentation of glucose into alcohol (c6h12o6 (s) ® 2 c2h5oh (l) 2 co2(g)) releases -40 kj/mol of heat, and the heat of combustion for alcohol is -1300 kj/mol. if the metabolism of glucose follows the reaction of c6h12o6 (s) 6 o2 (g) ® 6 co2(g) 6 h2o (l), and all the free energy from the metabolism of glucose goes into the conversion of adp to atp, calculate how many moles of atp can be produced for each mole of glucose?

Answer 1

The metabolism of one mole of glucose during cellular respiration can produce approximately 94.3 moles of ATP, given a standard free-energy change of -687 kcal/mol for glucose metabolism and a cost of 7.3 Kcal (or -30.5 kJ/mol) to synthesize each mole of ATP.

Step-by-step explanation:

Cells use the hydrolysis of adenosine triphosphate (ATP) as a source of energy. When ATP is hydrolyzed to adenosine diphosphate (ADP) and inorganic phosphate (Pi), there is a standard free-energy change of -30.5 kJ/mol. However, under cellular conditions, this value may be as high as -57 kJ/mol. The metabolism of glucose to CO2 and H2O during cellular respiration has a standard free-energy change of about -687 kcal/mol. Given the cost of about 7.3 Kcal/mole (or -30.5 kJ/mol) to synthesize each mole of ATP from ADP and Pi, we can estimate the number of moles of ATP that can be produced per mole of glucose metabolized.

First, we convert -687 Kcal/mole to kJ by multiplying by 4.184 kJ/Kcal, which gives us approximately -2877 kJ/mole. Next, we divide this value by -30.5 kJ/mole to find the number of moles of ATP that can be generated, which is approximately 94.3 moles of ATP per mole of glucose.