Calculating Final Temperature of Mixtures

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SUMMARY

The discussion focuses on calculating the final temperature of a mixture of two substances: 2.2 kg of ice at -16 degrees Celsius and 0.4 kg of steam at 104 degrees Celsius. The final temperature calculated is approximately 24.6 degrees Celsius. The underlying principle is based on the law of conservation of energy, specifically that the heat gained by the cold body equals the heat lost by the hot body. Understanding this principle is crucial for grasping the thermodynamic interactions in such mixtures.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Knowledge of specific heat capacities of water, ice, and steam.
  • Familiarity with the concept of phase changes and energy conservation.
  • Basic algebra skills for solving equations related to heat transfer.
NEXT STEPS
  • Study the specific heat capacities of water, ice, and steam.
  • Learn about the calculations involved in phase changes, including latent heat.
  • Explore the concept of energy conservation in thermodynamic systems.
  • Practice problems involving mixtures of different substances and their final temperatures.
USEFUL FOR

This discussion is beneficial for high school physics students, educators teaching thermodynamics, and anyone interested in understanding heat transfer and energy conservation in mixtures.

danago
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Hi. In a year 11 physics class, i have been learning about heat. Today, we learned how to calculate the final temperature of a mixture of 2 different substantes.

The example we were given was the calculation of the tempreature of a mixture of 2.2kg of ice (-16 degrees celsius), and 0.4kg of steam (104 degrees celsius). I know how to work through the question to get the correct answer, which if i remember correctly, was approximately 24.6 degrees.

If somebody doesn't mind, could you please go through the question, explaining WHY things happen. Thats what I am finding hard, understanding why things happen, and understanding the theory behind it all.

Thanks for the help.
Dan.
 
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you have already told that you know how to calculate. Please show your work if you need a homework help.
But I assume your question is to understand the science behind it. This is as per the law that - heat gained by the cold body is heat lost by hot body - a result of energy conservation principle.
 

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