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The metabolism of glucose, C6H12O6, yields carbon dioxide, CO2(g), and water, H2

ID: 875964 • Letter: T

Question

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 72.0 %  efficiency. Use the data below to answer questions about the metabolism of glucose.

Calculate the mass of glucose metabolized by a 79.8 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 79.8 kg by 1910 m .

Substance ?H?f
(kJ/mol) CO2(g) ?393.5 C6H12O6(s) ?1273.3 H2O(l) ?285.8 O2(g)

Explanation / Answer

Solution :-

Given data

Mass of person= 79.8 kg

Elevation = 1910 m

Efficiency = 72.0 %

Mass of glucose = ?

Lets first calculate the energy give by 1 mole of glucosefrom the given standard enthalpy of formation of values of the reactant and product.

Lets first write the balanced reaction equation

C6H12O6(s) + 6O2(g) 6CO2(g) + 6H2O(l)

Now lets calculate the enthalpy of reaction using the Hess