Equation used to find the efficiency of a kettle

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Homework Help Overview

The discussion revolves around the efficiency of a kettle, specifically focusing on the equation used to calculate it. The original poster is exploring the theoretical basis behind the efficiency formula provided, which relates energy output and input in the context of heating water.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to connect the formula components to concepts of energy output and input, questioning the theoretical background of the efficiency equation. Some participants suggest verifying the definition of efficiency and clarify the terms used in the equation.

Discussion Status

The discussion is ongoing, with participants providing guidance on understanding the terms involved in the efficiency equation. There is a recognition of the need to clarify definitions and assumptions, particularly regarding the heat capacity of water.

Contextual Notes

Participants note potential confusion around terminology, specifically the distinction between "water capacity" and "heat capacity." There is also mention of rules regarding posting in multiple forums, indicating a structured approach to the discussion.

physicsnerd26
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So, I'm doing this coursework right now, and I know that this equation is what's needed to get to the efficiency but I have only a little idea why.

I'm given this formula:
https://s.yimg.com/hd/answers/i/669504ce234c41af99c351e0c28eea10_A.png?a=answers&mr=0&x=1424239496&s=8a1c1557912955a6446f8f8e90ff7a57

It's Efficiency = (mass (volume of water) x water capacity x change in temperature)/ (voltage x current x time taken)

Is there any theory connected to this? Or other equations that led to this equation?
 
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Perhaps you should look up the definition of 'efficiency'.

Also, don't post duplicate threads in different forums. That's a violation of the rules of PF.
 
SteamKing said:
Perhaps you should look up the definition of 'efficiency'.

Also, don't post duplicate threads in different forums. That's a violation of the rules of PF.

Already have, but am I right to assume that:

mass x water capacity x change in temperature = energy output
and the voltage x current x time taken = energy input?
 
physicsnerd26 said:
Already have, but am I right to assume that:

mass x water capacity x change in temperature = energy output
and the voltage x current x time taken = energy input?

That's correct.
 
I think C has to be the heat capacity of water, not the "water capacity" whatever that may be.

The heat capacity of water will be in units of energy per change in temperature per unit mass. For example, Joules per degree C per kilogram.
 

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