Calculating Energy and Efficiency for Heating Water in a Kettle

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Homework Help Overview

The discussion revolves around calculating the energy required to heat water in a kettle and understanding the efficiency of the heating process. The problem involves specific heat capacity, energy calculations, and efficiency ratios related to heating water from an initial temperature to its boiling point.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the calculation of energy required to heat water using the formula Q=m*Cp*T and question how to determine electrical energy used by the kettle. There is discussion about the relationship between power, energy, and time, with some participants attempting to calculate energy based on power ratings and time taken. Others express uncertainty about the concept of efficiency and how to apply it in this context.

Discussion Status

The discussion is active, with participants sharing calculations and questioning the definitions of input and output energy in relation to efficiency. Some have provided calculations for energy based on power and time, while others are seeking clarification on the efficiency formula and its application to the problem.

Contextual Notes

Participants are navigating the definitions of energy input and output in the context of heating water, with some uncertainty about how to apply these concepts to the efficiency of the heating process. There is a focus on understanding the relationship between the energy required to heat the water and the energy consumed by the kettle.

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Homework Statement


The density of water is 1000 kg/m3 and the specific heat capacity of water is 4.2Kj/(Kg.C)

Homework Equations


a) How much energy is required to heat 1.5 L of water at a temperature of 20 °C to the boiling point 100 ºC?
b) There is 1.5 L of water in a kettle on a cooking plate of 2.0 kW. It takes 7.0 minutes to
heat the water from a temperature of 20 ºC to the boiling point. How much electrical
energy is required? What is the efficiency of the heating process?

The Attempt at a Solution


a)
Q=m*Cp*T
Q=1.5*4.2*(100-20)
Q=504 Kj.

b)
how can we find the electrical energy?
 
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chawki said:
how can we find the electrical energy?

...a cooking plate of 2.0 kW. It takes 7.0 minutes...

Do the obvious!
 
wow..is it like in cinematic..Power=work/time ?
so here we would have Power=energy/time?
and then 2000=E/(7*60)
E=840000 J = 840 KJ ?
 
Yes. Aren't general concepts wonderful?:biggrin:
 
Yes, amazing o:)
but what about part c, what efficiency they are talking about ?
i know it will probably be Q/E or E/Q...i'm not sure :rolleyes:
 
chawki said:
Yes, amazing o:)
but what about part c, what efficiency they are talking about ?
i know it will probably be Q/E or E/Q...i'm not sure :rolleyes:

Efficiency is the ratio of the (results/effort)x100. , or (output/input)x100, however you wish to look at it.

The water takes a certain amount of energy to boil as dictated by Nature. But in order to accomplish that result, the heater produced a much larger amount of energy. Obviously there was wasted energy and only part of the "efforts" of the heater went into accomplishing the desired result.
 
can you explain it more simply o:)
i just got that it's the energy output/input
but in our case, they said ''the heating process'' are they talking about the question a) ?
and where is the energy generated here :eek: which is supposed to be the Output ..i guess!
 
chawki said:
can you explain it more simply o:)
i just got that it's the energy output/input
but in our case, they said ''the heating process'' are they talking about the question a) ?
and where is the energy generated here :eek: which is supposed to be the Output ..i guess!

The output is hot water. How much energy went into the hot water?
The input is the energy provided by the heater. How much energy did it produce?
 
gneill said:
The output is hot water. How much energy went into the hot water?
The input is the energy provided by the heater. How much energy did it produce?

The energy that went into hot water is 504kj
but the question about how much energy did it produce..i'm not sure about it..probably that 840kj...but i don't see that is an energy produced
i think it's still an energy as the one of 504kj
 

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