Glucose (C 6 H 12 O 6 ) is one of the most common sugars in biological systems a

Question

Glucose (C6H12O6) is one of the most common sugars in biological systems and it is largely used as an energy source. Typically, the glucose is metabolized through a series of reactions to form CO2, liquid water and a lot of energy. Suppose you ate a candy bar that contained 33.0 grams of glucose, then what is the maximum amount of work that this fuel can provide to you? Give the value as a positive number (since we are interested in the "work" being exported from the system). The delta-G for glucose is -910.4 kJ/mol while the rest of the delta-G values are in the appendix of the textbook. The units for the final answer are kJ.

Explanation / Answer

molar mass of glucose = 180 g / mol

mass of glucose given = 33 g

moles of glucose = mass / molar mass

                            = 33 / 180

                           = 0.183

The delta-G for glucose is -910.4 kJ/mol

decreasing in free energy of glucose is equal to work done by the system

- delta G = W

so work = 910 .4 kJ/mol

1 mole glucose gives -----------------------------> 910 .4 kJ work or energy

0.183 moles glucose gives -----------------------> ????

work = 910.4 x 0.183 = 167 kJ

maximum amount of work this fuel can provide = 167 kJ

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