How Do You Calculate the Energy Required to Heat Water in Different Scenarios?

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Homework Help Overview

The discussion revolves around calculating the energy required to heat water in various scenarios, specifically focusing on the context of a drinks machine and the principles of specific heat capacity. Participants are exploring the implications of different setups for heating water and the calculations involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to calculate the energy needed to heat water using given mass, temperature change, and specific heat capacity. Questions arise regarding the setup of the drinks machine and the assumptions about how water is heated. Some participants also inquire about related calculations involving ice and temperature changes.

Discussion Status

The discussion is active, with participants providing hints and guidance on how to approach the calculations. There are multiple interpretations of the problem setup, particularly regarding the drinks machine's operation and the energy calculations involved. No consensus has been reached yet.

Contextual Notes

Participants are working within the constraints of specific heat capacity and the measurements provided, while also considering the practical implications of heating water in a machine. Some posts indicate a need for clarification on the principles involved in heating both water and ice.

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I'm having a hard time getting my hear around this question. Help would be appreciated as my revision books are not helping. I'm not looking for answers (would be helpful) - just help that will actually be of use to me if I get this question in the real exam.

Two physics teachers are getting hot drinks from a drinks machine. One teacher suggests that the machine must contain a reservoir of hot water. The other reacher says that there isn't room to store water inside the machine. He suggests that the wter must cime from the mains water suply and be heated by a heater in the machine, as it is needed.

The teachers take the following measurements to decde who is correct.
  • Mass of water in cup = 0.20 kg
  • Room temperature = 22 °C
  • Temperature of water in cup = 75 °C
  • Time to fuill cup = 6.0 s
  • (Specific heat capacity of water = 4200 J kg¨¹ °C)

Calculate the energy required to heat the water for one cup.





Energy = .......
 
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The drinks machine is marked "2500 W". Calculate the maximum thermal energy which the heater could supply in the time it takes to fill the cup.



Energy = .....
 
What is your question, where to start? This is a very straightforward question if you have studied specific heat capacity. You have mass, you have heat capacity, you have a change in temperature, you want to calculate how much heat is reQuired. (That was a hint).
 
The power supplied by the heater must equal the rate at which the heat or enthalpy of the water changes.

So write an equation which describes this relationship.
 
Hi I need help with a question, I need to calculate the total amount of heat necessary to change .75kg of ice at -24*C into water at 107*C. {put heat into kcal}? I need help with this problem.
 

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