Thermodynamics, heat in a copper cube transfer to water

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SUMMARY

The discussion focuses on calculating the original temperature of a copper cube when immersed in water. A copper cube with a side length of 2.0 cm is placed in 1.0 kg of water, causing the water's temperature to rise from 5°C to 7°C. The heat transfer is calculated using the specific heat capacities of water (4180 J/kg/K) and copper (385 J/kg/K). The final calculation shows that the original temperature of the copper cube is determined to be 305°C based on the heat exchanged.

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Homework Statement



When a copper cube of side of 2.0 cm is immersed into a perfectly insulated container filled with 1.0 kg of water at 5 degree celsius , the temperature of water rises to 7 degree celsius . Assuming that no heat is lost to the surrounding , calculate the original temperature of the cube .

Given density of copper = 8900 kg / m^3 , specific heat capacity of water = 4180 J/kg/K and specific heat capacity of copper = 385 J/kg/K

Homework Equations





The Attempt at a Solution



from Q=mc theta = 1(4180)(2) = 8360 J and this is the heat supplied to the water

mass of copper = (8900)(8 x 10^(-6)) = 0.0712 kg

8360=0.0712(385) d theta

d theta = 305 degree celsius but this is the change in temperature , how do i find the original temperature from there .
 
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Final temperature of the mixture is 7 degrees
Change in temperature = Original temperature of the copper - final temperature of the mixture.
 

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