Calculating Power Needed for Water Evaporation | Heat of Vaporization 2260 kJ/kg

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Homework Help Overview

The discussion revolves around calculating the power required for the evaporation of water, given its heat of vaporization of 2260 kJ/kg and an evaporation rate of 0.25 g/s. Participants are exploring the relationship between energy, mass, and power in this context.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of equations relating energy and power, specifically mentioning the heat of vaporization and the conversion of units. Questions arise regarding the appropriate equations and the necessity of using SI units.

Discussion Status

Some participants have provided equations and initial calculations, while others have pointed out the need for unit conversions. There is an ongoing exploration of the calculations without a definitive consensus on the final approach.

Contextual Notes

There is a noted need to convert the heat of vaporization from kJ to joules to align with SI units, which is under discussion. The original poster has not yet provided a complete solution or final answer.

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Homework Statement



Water's heat of vaporization is 2260 kJ/kg. How much power would you need to apply to water so that the evaporation rate was .25 g/s?

Homework Equations



Not sure

The Attempt at a Solution



What equation can be used to find the given rate?
 
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You can use ##E=mL_v## and ##P= \frac{E}{t}##

Please show your progress :smile:
 
adjacent said:
You can use ##E=mL_v## and ##P= \frac{E}{t}##

Please show your progress :smile:

E=(.00025)(2260) -> E=.565 -> .565/1=.565. Hows that look to you?
 
Bgerst103 said:
E=(.00025)(2260) -> E=.565 -> .565/1=.565. Hows that look to you?
It looks correct. :smile:
EDIT:Wait, the latent heat of vaporisation should be in SI units.Change the kJ to joules.
 
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