Specific Heat Capacity of Copper: How to Calculate with Given Variables?

Kenny09
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Homework Statement



A copper cube mass of 110g is heated to a temperature of 100 Celcius degrees and then rapidly transferred to a well insulated aluminium can of mass 80g containing 200g of water at 10 C degrees . If the final temperature of the cube and water ( after stirring ) is 14 C .

( c of water and al are 4.2 x 10^3 J/Kg/K and 9.1 x 10^2 J/Kg/K

Homework Equations



Calculate the specific heat capacity of the copper . Assuming heat loss to the surrounding is negligible .

The Attempt at a Solution



Heat supplied = heat loss . However i`m struggling with the change in temperature .
 
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The change in temperature of the copper is -86C and the change in the water is +4C?? Is that what you are asking??
 
No i mean about the change of a can .
It should be heat supplied = heat gained isn't it ?
Q of Copper cube = Q of can + Q of Water ?

If can and water are only one object then why would they give us C of aluminum ?
 
I think you can take the temperature change of the can to be the same as the water it contains.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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