# Latent heat of vaporization at non-boiling temperature

The latent heat of vaporization of water is what we normally use to calculate the heat transfer that occurs at 373 K when liquid water transits to vapor phase. But there are curves for latent heat of vaporization at different temperatures. What is meant by latent heat of vaporization at a temperature different from its boiling point?

## 2 Answers

Liquids evaporate at any temperature - not just at their boiling point. This is the reason, for example, why wearing a wet shirt on a windy day makes you so cold: the water evaporates, and in the process "takes some heat with it".

The explanation for this is simple when you think about statistical thermodynamics. You have a lot of molecules whose energies follow a statistical distribution. The fastest of these molecules can escape the forces holding the liquid together; but in the process, they take away "more than the average amount of energy". It's like the smartest person leaving the room: the average of the room just got a little dumber.

Now the rate at which this happens is a strong function of the temperature (and the relative humidity of the air): however, it does happen at all temperatures. Therefore, you can express the average "surplus energy" that each molecule takes with it as a function of temperature - and when you scale this to unit mass, you get the latent heat of evaporation. At any temperature.

Note this appears to be in contradiction to LDC3's answer. One of us is wrong... I believe heat of vaporization is a perfectly valid concept when you are not at the boiling point.

• Depending on our perspective, both of our statements are correct. I was thinking about the 3 state graph that is presented for water with the curve between the liquid and gas phase. If someone told you the latent heat of vapourization (LHV) at x kelvin and y atm was z, you would know that was where water boils. Determining the LHV when the water is evaporating, but not boiling, is difficult; so I thought a table would use the transition curve for liquids and gases. I would need to see the table in its context to determine what it represents.
– LDC3
Commented Aug 27, 2014 at 5:17
• @LDC3 Determining LHV for water evaporating is not more difficult than when it's boiling. It is simply a function of temperature (and of pressure).
– jkej
Commented Aug 27, 2014 at 10:04

The curve represents the boiling point of water at different pressures and temperatures. If you are heating water at the pressure selected, it will be at the temperature indicated by the curve when the water boils.

The latent heat of vapourization is always at the boiling point. The pressure and temperature determine where this point is.

• Please see and comment on my answer... we appear to disagree and I hope we can resolve this difference. Commented Aug 27, 2014 at 4:30