Sweaty Biker and Energy Consumption

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SUMMARY

The discussion focuses on calculating the total energy expenditure of a bicyclist during a race on a hot day, where the rider consumes 8 liters of water over 4 hours. It is established that 80% of the energy is used for evaporating sweat, with the mechanical efficiency of the rider being approximately 20%. The calculation involves determining the mass of water, which is 8 kg, and using the latent heat of vaporization to find the energy required to convert this water into vapor. The formula used is Q = mass x latent heat, specifically Q = (8000 g) x (540 cal/g), which represents the energy needed for evaporation.

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In a hot day’s race, a bicyclist consumes 8L water over 4 hrs.
Assume that 80% of his energy goes into evaporating this water as sweat. (This isn't a bad approximation, b/c the mechanical efficiency of a bicycle rider is only ~20%, w/ the rest of the energy consumed going into heat.)
How much total energy, in kcal, did the rider use during the race?

I know that 8L is evaporated by heat (body). I can obtain the mass of water, giving me Q.

I need to use the equation Lxm= Q, from this get 80% of total --> total
Latent heat and vaporization

You can get the mass from knowing 1L= 1000cm^3
Because there are 8L, you have 8000cm^3
Convert to grams knowing the density of water: 1g/cm^3
(8000cm^3)(1g/cm^3)= 8000g or 8 kg water.

I am stuck from here please help!
 
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Energy to convert 8 Litres of water into vapour = mass*latent heat = (8000 gm)*(540 cal/gm). This is 80% of total energy. What's the problem now?
 

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