During Exercise a person may give off 184 kcal of heat in 33 min….?

February 8th, 2010 · 1 Comment

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During exercise, a person may give off 184 kcal of heat in 33 min by evaporation of water from the skin. How much water has been lost? (Assume a temperature of 20°C.)

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    Tags: Exercise

    1 response so far ↓

    • 1 gintable // Feb 8, 2010

      (Assume a temperature of 20°C.) YEAH RIGHT (sarcasm)! The human body is at 37 Celsius.

      The heat is involved is used evaporating the water at a constant temperature of 37 Celsius.
      How is this possible when water boils at 100 C? Well, it evaporates at off the skin to become water vapor at a partial pressure within the atmosphere.

      If the human body needed to raise its sweat to 100 C before boiling it off, we’d be dead after any workout not in cold weather.

      Q = m*h_vap(T)

      h_vap is a function of the temperature. Looking it up in steam tables (assuming the salt content doesn’t change it)

      h_vap = 2.413*10^6 J/kg

      Solve for m:
      m = Q/h_vap

      Converting Q from kcal to Joules:
      Q=770371 J

      Result:
      m=0.3193 kilograms
      of water loss as sweat

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