Solving a Conceptual Question on Energy and Work

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Homework Statement


I have a rather conceptual question, if I can understand it I can probably solve the prblem.
Here is the problem:

me and my equipment weight is w N. I am climbing a mountain and I climb an elavation of
h meters.

Now, my body convert 25% of energy burnt from fat into PE. The other 75% appears as heat. Half of the heat generated goes into evaporating sweat.

Also given are the following info:

fat contains 1000kcal/kg
and latent heat of evaporation of sweat is 2.5x10^6 j/Kg


Homework Equations



mgh
wh
mL



The Attempt at a Solution



ofcourse total work done to go up h meters = w x h J = wh Joules

what I do not understand is since 25% of fat burnt is converted into PE, does this mean
that this is equal to wh J?

or does it mean that 25% of wh is equal to the energy generated by burning fat?

Thanks in advance.


 
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Basically I need to find out the amount of fat burnt.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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