Final Temperature of Copper Cup & Tea

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The discussion centers on calculating the final temperature of a copper cup and tea in thermal equilibrium. The cup has a mass of 0.1 kg and an initial temperature of 20°C, while the tea has a mass of 0.2 kg and an initial temperature of 70°C. The specific heat capacities are given as 4180 J/kg·K for tea and 381.6 J/kg·K for copper. The conclusion reached is that the final temperature of the system will be the same for both the cup and the tea once thermal equilibrium is achieved.

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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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