How to Calculate Heat Required to Boil Water?

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SUMMARY

The discussion focuses on calculating the heat required to boil 0.75 liters of water initially at 60°C. The primary equation mentioned is Q=mcΔT, where Q represents heat energy, m is mass, and c is the specific heat of water, which is 1 cal/g°C. To solve the problem, participants emphasize the need to convert volume to mass using the density of water and highlight the necessity of including the latent heat of vaporization to account for the phase change from liquid to vapor.

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  • Knowledge of the density of water (1 g/cm³)
  • Familiarity with the concept of latent heat of vaporization
  • Basic algebra for manipulating equations
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Water is boiled to add moisture to the air in the winter to help a congested person breathe better. Calculate the heat required to boil away .75 L of water that is initially 60 C.

I'm not sure what equation to use, I was thinking Q=mc(change in temp.)

where Q= heat energy
m= mass
c= specific heat


I know the specific heat of water is 1 cal/gC, but I am not given the mass and don't seem to have enough information to solve this problem. Any help would be appreciated
 
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You've got the mass of water in terms of volume -- you do know the density of water, right?

The formula you have given is fine for part of the problem (raising the temperature of the water to the boiling point). But you'll need another constant to calculate the heat required to turn the water from liquid to vapor.
 

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