Chapter 16, Problem 96QAP

The overall reaction that occurs when sugar is metabolized is
${\text{C}}_{12}{\text{H}}_{22}{\text{O}}_{11}\left(s\right)+12{\text{O}}_2\left(g\right)\to 12{\text{CO}}_2\left(g\right)+11{\text{H}}_2\text{O}\left(l\right)$
For this reaction, ΔH° is -5650 kJ and ΔG° is -5790 kJ at 25°C.
(a) If 25% of the free energy change is actually converted to useful work, how many kilojoules of work are obtained when one gram of sugar is metabolized at body temperature, 37°C?
(b) How many grams of sugar would a 120-lb woman have to eat to get the energy to climb the Jungfrau in the Alps, which is 4158 m high? ( $w=9.79\times {10}^{-3}$mh, where $w=$ work in kilojoules, m is body mass in kilograms, and h is height in meters.)