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

AI Thread Summary
To calculate the energy required to heat water, one must use the formula Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the temperature change. In the scenario discussed, the mass of water is 0.20 kg, the specific heat capacity is 4200 J/kg°C, and the temperature change is from 22°C to 75°C. The maximum thermal energy supplied by the 2500 W heater in 6 seconds can be calculated using the formula Energy = Power × Time. The discussion highlights the importance of understanding specific heat capacity and the relationship between power and energy in heating scenarios. Overall, the thread emphasizes the need for a clear grasp of these fundamental physics concepts for effective problem-solving.
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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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