The final temperature of the copper cup is found to be 409.19° K.
The mass of the copper cup is 0.500 Kg and it is at a temperature of 280°K.
A total of 2.5 x 10⁴ J of energy is added to the system.
The final temperature of the system is let us say T.
Now, the change in energy will be given by,
∆Q = mC∆T
Where,
C is the specific capacity of copper.
Putting values,
2.5 x 10⁴ = 0.5 x 387 x(T - 280°)
T = 409.19°K.
So, the final temperature of the copper cup is 409.19°K.
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