physics 101

Physics 101 Question… Latent Heat?

A 60.0 kg runner expends 340 W of power while running a marathon. Assuming that 11.5% of the energy is delivered to the muscle tissue and that the excess energy is primarily removed from the body by sweating, determine the volume of bodily fluid (assume it is water) lost per hour. (At 37.0°C the latent heat of vaporization of water is 2.41 E6 J/kg.)

Let’s see. It’s been a while.

340 W = 340 J/s * (1hr/3600 sec) = 1,224,000 J/hr * 88.5%
= 1,083,240 J/hr expended through sweating.

divide by 2.41 e6 J/kg = .449 kg/hr * (1 L / kg) = .449 L / hr

Jim Parsons on Physics 101

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