Final Temperature of Copper Cup & Tea

In summary, the final temperature of a copper cup and tea is affected by several factors, including the initial temperature of the tea and the cup, the volume of liquid in the cup, the ambient temperature, and the material and thickness of the copper cup. The initial temperature of the tea plays a significant role in determining the final temperature, as a hotter tea will result in a higher final temperature. The volume of liquid in the cup also impacts the final temperature, with a larger volume resulting in a lower final temperature. The ambient temperature can also influence the final temperature, with a higher ambient temperature resulting in a lower final temperature. Finally, the material and thickness of the copper cup can affect the final temperature, with different materials and thicknesses having different
  • #1
47Alexander
2
0
Heat "Q" homework

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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  • #2


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?
 
  • #3


Nevermind, I solved it. Thanks anyway.
 

FAQ: Final Temperature of Copper Cup & Tea

What factors affect the final temperature of a copper cup and tea?

The final temperature of a copper cup and tea is affected by several factors, including the initial temperature of the tea, the initial temperature of the copper cup, the volume of liquid in the cup, and the ambient temperature of the surroundings. Additionally, the material and thickness of the copper cup can also impact the final temperature.

How does the initial temperature of the tea affect the final temperature?

The initial temperature of the tea plays a significant role in determining the final temperature. If the tea is initially very hot, it will transfer more heat to the copper cup, resulting in a higher final temperature. On the other hand, if the tea is initially cold, it will absorb more heat from the copper cup and result in a lower final temperature.

Does the volume of liquid in the cup affect the final temperature?

Yes, the volume of liquid in the cup can impact the final temperature. A larger volume of liquid will require more heat to raise its temperature compared to a smaller volume. Therefore, a cup with a larger volume of tea will result in a lower final temperature compared to a cup with a smaller volume of tea.

How does the ambient temperature affect the final temperature?

The ambient temperature, or the temperature of the surroundings, can influence the final temperature of the copper cup and tea. If the ambient temperature is higher, the cup and tea will lose more heat to the surroundings, resulting in a lower final temperature. On the other hand, if the ambient temperature is lower, the cup and tea will retain more heat, resulting in a higher final temperature.

Can the material and thickness of the copper cup affect the final temperature?

Yes, the material and thickness of the copper cup can impact the final temperature. Different materials have different thermal conductivity, meaning they transfer heat at different rates. A thicker copper cup will also require more heat to raise its temperature compared to a thinner cup. Therefore, the material and thickness of the copper cup can affect the final temperature of the tea.

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