The amount of energy needed to boil off the water is 5,845,000 J
Explanation:
The amount of thermal energy needed to completely boil a certain amount of a liquid substance already at boiling temperature is given by
[tex]Q=m\lambda_v[/tex]
where
m is the amount of the substance
[tex]\lambda_v[/tex] is the specific latent heat of vaporization of the substance
In this problem, the substance is water, and its mass is
m = 1.75 kg
Its specific latent heat of vaporization is
[tex]\lambda_v = 3.34\cdot 10^6 J/kg[/tex]
Assuming that the water is already at boiling temperature, therefore, the thermal energy needed to boil off the water is
[tex]Q=(1.75)(3.34\cdot 10^6)=5,845,000 J[/tex]
Learn more about specific heat:
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