Energy and calculating vaporization of water

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SUMMARY

The discussion focuses on calculating the time required to heat water to its boiling point using a 12V battery with a current of 13A, applying the specific heat capacity of water at 4200 J kg-1 C-1. The participant seeks guidance on using the equation P = IV to determine the heat energy supplied (Q = IVt) and how to calculate the time needed for vaporization using the latent heat of vaporization. The conversation emphasizes the importance of understanding electrical power equations and their application in thermal energy calculations.

PREREQUISITES
  • Understanding of electrical power equations, specifically P = IV
  • Familiarity with specific heat capacity and its units
  • Knowledge of latent heat of vaporization
  • Basic principles of thermodynamics and energy transfer
NEXT STEPS
  • Research the calculation of heat energy using Q = mcΔT
  • Learn about the latent heat of vaporization for water (approximately 2260 kJ/kg)
  • Explore the relationship between electrical energy and thermal energy conversion
  • Study the application of ordinary differential equations (ODEs) in thermal processes
USEFUL FOR

Students in physics or engineering, educators teaching thermodynamics, and anyone interested in the practical applications of electrical energy in heating and vaporization processes.

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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