A Formula for Rate of Evaporation

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Homework Help Overview

The discussion revolves around the rate of evaporation and its dependence on various factors such as relative humidity, temperature, pressure, and surface area. Participants are exploring whether a formula exists that encapsulates these relationships.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are discussing the factors influencing evaporation and questioning the existence of a comprehensive formula. Some are considering dimensional analysis, while others are looking for specific relationships between evaporation rate and pressure.

Discussion Status

There is a range of ideas being explored, including references to the Clausius-Clapeyron Equation and the need for additional parameters such as mass transfer coefficients. Some participants are providing insights into the complexities of heat and mass transfer involved in evaporation.

Contextual Notes

Participants note the absence of certain key information, such as the mass transfer coefficient and the specifics of heat transfer, which are critical for a complete understanding of the evaporation process.

marvolo1300
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Hi, it has been a while since I've been on PF.

I know that the rate of evaporation depends on the relative humidity, temperature, pressure and surface area.

Is there any formula that fits this criteria?
 
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Here's what I found so far:
LINK. CLICK ME!


Basically they define the rate of evaporation as:

massWater/(unitArea/unitTime)


Sorry about the lack of a direct link, I am using an OS without a supported PDF plugin.
 
oh wow, I was thinking about then whilst I was walking to the shops a few weeks ago
I was mainly using dimensional analysis to guide me though.. I don't really remember what I came up with though since I had to start remembering why I went to the shop once I arrived!
:biggrin:
 
What a coincidence! It seems you may have a unit for the rate of evaporation.
 
Well, it was worth a shot.
 
i neeeeeeeeeeeeeeeeeeeeeeeed relationship that relates between evaporation rate and pressure ...all this equations indicate the relationship between the temperature and evaporation rate
 
the Clausius-Clapeyron Equation relates between pressure and temperature.
i will give you example for what i want:

if i have vessel contains 100 m^3 of water and the surface area is 500 m^2 and the relative humidity is 50% and the speed of air is 0.5 m/s what is pressure drop that i need to evaporate this volume of water during 24 hours?
 
You're missing some key pieces of the puzzle. You need to know the mass transfer coefficient between the liquid and gas phases. You also need to consider heat transfer, because the temperature at the interface is going to be lower than in the bulk of the liquid (and this is going to affect the vapor pressure at the interface). See Mass Transfer Operations by Treybel. You are dealing with combined heat and mass transfer.

Chet
 

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