Final Temperature of Copper Cup & Tea

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The discussion revolves around a heat transfer problem involving a copper cup and tea reaching thermal equilibrium. The cup has a mass of 0.1 kg at an initial temperature of 20 degrees Celsius, while the tea weighs 0.2 kg and is initially at 70 degrees Celsius. The specific heat capacities for tea and copper are provided as 4180 J/kg*K and 381.6 J/kg*K, respectively. The key point is that the final temperature of the system will be the same for both the cup and the tea once thermal equilibrium is achieved. The original poster ultimately resolved the problem independently.
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Homework Statement


A cup from copper with mass 0,1 kg, with the initial temperature 20 degrees centigrade is filled with 0,2 kg tea with temperature 70 degrees centigrade. Which is the final temperature after the tea and the cup reached the thermic balance?
c tea = 4180 J / kg * K
c Cu = 381,6 J / kg * K

Thanks a lot, 47Alexander.
 
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If the system is in thermal equilibrium then it's final temperature must be equal. Also the heat transferred into the cup must equal what?
 


Nevermind, I solved it. Thanks anyway.
 

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