The final temperature inside the calorimeter is 85 degC .
Given ,
one piece of copper jewelry at 105 deg.C has twice the mass of another piece at 45 deg.C .
C of copper = 0.387 j/g.K
Let us assume ,
The mass of lighter jewelry is x at 45 deg.C
Then mass of the heavier jewelry is 2x . at 105 deg.C .
T is the final temperature when equilibrium is reached . we have ,
energy lost by heavier object = energy gained by lighter object
=> 2x *C*(105-T) = X*C*(T-45)
=>2x *(0.387 ) *(105-T) = x* (0.387)*(T-45)
=> 2( 105-T ) = T-45
=>210-2T = T -45
=>3T= 255
=>T = 85 degC
Hence the final temp inside the calorimeter is 85 degC .
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