The metabolism of glucose, C6H12O6, yields carbon dioxide, CO2(g), and water, H2O(l), as products. Energy released in this metabolic process is converted to useful work, w, with about 76.0 % efficiency. Use the data below to answer questions about the metabolism of glucose.
|
Substance
|
ΔH°f (kJ/mol)
|
|
CO2(g)
|
-393.5
|
|
C6H12O6(s)
|
-1273.3
|
|
H2O(l)
|
-285.8
|
|
O2(g)
|
0
|
Calculate the mass of glucose metabolized by a 57.7kg person in climbing a mountain with an elevation gain of 1210m. Assume that the work performed in the climb is four times that required to simply lift 57.7kg by 1210m.
Express your answer to three significant figures and include the appropriate units.