Calculate the mass of glucose metabolized by a 82.1 kg person in climbing a mountain with an elevation gain of 1910 m . Assume that the work performed in the climb is four times that required to simply lift 82.1 kg by 1910 m .
work =mdg
= 82.1 * 1910 * 9.81
= 1538316 J
= 1538.316 KJ
the work required to lift the person to the top of the mountain is 1538.316 KJ, we are making assumption that the work involved is climbing is four times this value
w = 4 * 1538.316 = 6153.26 KJ
2870 KJ energy from one mole of glucose then 6153.26 KJ of energy from = 6153.26/2870 = 2.14 moles
mass of 2.14 moles of glucose = 2.14* 180 = 385.2 grams.
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