The metabolism of glucose, \rm C_6H_{12}O_6, yields carbon dioxide, \rm CO_2(g), and water, \rm H_2O(l), as products. Energy released in the process is converted to useful work, w, with about 62.0 \% efficiency. Use the data below to answer questions about the metabolism of glucose.
Substance Delta H
kJ/mol
CO_2(g) -393.5
C_6H_{12}O_6(s) -1273.3
H_2O(l) -285.8
O_2(g) 0
Calculate the mass of glucose metabolized by a 75.4 kg person in climbing a mountain with an elevation gain of 1370 m. Assume that the work performed in the climb is four times that required to simply lift 75.4 kg by 1370 m.