A 60.0-kg runner expends 315 W of power while running a marathon. Assuming that

Question

A 60.0-kg runner expends 315 W of power while running a marathon. Assuming that 9.50% 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 315 W of power while running a marathon. Assuming that 9.50% 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 37.0degreeC the latent heat of vaporization of water is2.41 times 106 J/kg.) cm3

Explanation / Answer

remaining energy=315*(100-9.50)/100=285.075W

this much is lost in sweat

so volume of fluid lost=m*L=285.075W

m=286.075/(2.41*10^6)

=118.7*10^-6kg/s

vol=m/density=118.7*10^-6/1000

=118.7*10^-9m^3/s

=118.7*10^-3*60*60cm^3/hr

=427.33cm^3/hr

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