Energy and calculating vaporization of water

AI Thread Summary
To calculate the time taken to heat water to boiling using a 12V battery with a current of 13A, the equation P = IV can be used to find power, leading to Q = IVt for heat energy. The specific heat of water (4200 J/kg°C) is essential for determining the energy required to raise the water's temperature. For vaporization, the latent heat of vaporization must be applied to find the energy needed to convert water to steam. The total time for both heating and vaporization can be calculated by rearranging the equations accordingly. Understanding these principles will clarify the relationship between electrical energy, temperature change, and phase change.
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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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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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