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14 January, 02:02

How much energy would be needed to raise the temperature of 40 liters of water (about the total water volume in an adult man) 2 degrees celsius?

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  1. 14 January, 02:21
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    40 liters of water = 40 * (10³ cm³/L) = 4 x 10⁴ cm³

    The density of water is 1 g/cm³, therefore 40 liters of water has a mass of

    m = (4 x 10⁴ cm³) * (1 g/cm³) = 4 x 10⁴ g

    The specific heat of water is c = 4.184 J / (g - °C).

    For a temperature increase of ΔT = 2 °C, the thermal energy required is

    Q = m*c*ΔT

    = (4 x 10⁴ g) * (4.184 J / (g-°C)) * (2 °C)

    = 334,720 J = 334.72 kJ

    Answer: 334.7 kJ (nearest tenth)
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