How many ATP molecules could maximally be generated from one molecule of glucose, if the complete oxidation of one mole of glucose to CO2 & H2O yields 686 kcal and the useful chemical energy available in the high energy phosphate Bond of one mole of. ATP is 12 kcal ? Plz explain in detail.

The question asked by you about glucose and ATP generation is a hypothetical question. This is because a glucose molecule on complete oxidation can only provide maximum of 38 molecules of ATP, but not on the basis of the values provided by you. Moreover, each ATP molecule on hydrolysis releases only 7.6 KCal of energy , not 8.15KCal value of energy given by you in the question. However on the basis of values provided by you , If one molecule of ATP releases 8.15 Kcal of energy , then number of ATP molecules that can produce 686 KCal of energy form one one glucose molecule are about 84 ( 686/8.15).