A 60.0-kg runner expends 335 W of power while running a marathon. Assuming that

Question

A 60.0-kg runner expends 335 W of power while running a marathon. Assuming that 9.00% of the energy is delivered to the muscle tissue and that the excess energy is removed from the body by sweating, determine the volume of bodily fluid (assume it is water) lost per hour. (At 37.0

A 60.0-kg runner expends 335 W of power while running a marathon. Assuming that 9.00% of the energy is delivered to the muscle tissue and that the excess energy is removed from the body by sweating, determine the volume of bodily fluid (assume it is water) lost per hour. (At 37.0 degree C the latent heat of vaporization of water is 2.41 106 J/kg.)

Explanation / Answer

325 watts over 3600 seconds (1 hour) is an energy of 335x3600 = 1.206 MJ

90% of that is 1085.4 kJ

1085.4 kJ = 2410 kJ/kg x Mass
mass = 0.4504 kg

density of water = 1 g/cm^3 = 0.001 kg/cm^3
volume = 0.437 kg / 0.001 kg/cm^3 = 134cm^3

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