Energy and calculating vaporization of water

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Homework Help Overview

The discussion revolves around calculating the time required to heat a specific amount of water to its boiling point using a 12V battery with a current of 13A. Additionally, the original poster seeks guidance on determining the time needed to vaporize the water, utilizing the latent heat of vaporization and the specific heat of water.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the equation I = Q/T for calculating the time to boil the water but expresses uncertainty. They also seek help with the vaporization calculation. Some participants suggest using expressions for electrical power, specifically P = iV, and discuss how to relate electrical energy to heat energy.

Discussion Status

Participants are exploring various equations related to electrical power and energy transfer. Some guidance has been offered regarding the relationship between power, current, and voltage, which may help the original poster in their calculations. The discussion is ongoing, with no explicit consensus reached yet.

Contextual Notes

The original poster's understanding of the problem appears to be developing, but they mention feeling vague about the connections between the equations and the physical processes involved. There is an indication of a need for further reading and clarification on the topic.

jacqui
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Homework Statement



I have a certain amount of water, which is heated by a 12V battery, which has an electric current of 13A. I need to work out the time taken to reach boiling temp, where the specific heat of water is given as 4200 J kg -1 C -1? Also need to know how to calculate the time taken to vaporize all the water using the standard latent heat of vaporization?

Homework Equations



I = Q/T for the first part in working out the time taken to boil the water, but not sure?

The second part working out vaporization and the time to vaporize water, really no idea? Please help or offer some guidance.


The Attempt at a Solution



As Above... Sorry its all a bit vague...
 
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Welcome to the Forums,

Okay, do you know any expressions for electrical power?
 
a few, mostly this one:

P = /\Ee
____
t = I/\V

this is the equation I think electrical energy to convert into other forms of energy, but not sure where time and vaporization come in?
 
Okay, the expression I'm looking for is P=iV, which we can re-write as Q = iVt. This means the amount of heat energy (Q) that the circuit supplies to the water in a time t is Q = iVt. Does that help?
 
Its something for me to look at, I'll do a load more reading tonight. Thanks for the insight, anything helps at the moment, all the equations seem to roll into one!
 
Just do a Process modell using ODE'S

Input-output=accumulation.

Do it a component balance so only use energy & temp
 

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