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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?

User Barg
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1 Answer

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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)

User David Cruz
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