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16 April, 16:51

How much sweat (in ml) would you have to evaporate per hour to remove the same amount of heat a 90.0 w light bulb produces? (1w=1j/s.) ?

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  1. 16 April, 20:12
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    1 W = 1 J/s

    Therefore;

    Total energy = 90*1*60*60 J = 324000 J = 324 kJ

    Such an evaporation must take place at a temperature near the body temperature. Assuming a body temperature of 37°C at which heat of vaporization is approximately 2413.1 kJ/kg (again assuming sweet behaves like water).

    Then,

    mC = 324 kJ, where m = mass of sweet and C = heat of vaporization

    Therefore,

    m = 324/C = 324/2413.1 = 0.13427 kg

    Density = m/v = > volume = m/Density = 0.13427/1000 = 1.3427*10^-4 m^3

    1 m^3 = 1000 liters

    Then,

    1.3427*10^-4 m^3 = 0.13427 liters of sweet = 134.27 ml
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