An aluminum calorimeter can (specific heat equal to 900 J/kg•K) with mass 0.080 kg contains 0.380 kg of water (specific heat equal to 4190 J/ kg•K) in thermal equilibrium at atmospheric pressure. A 0.120 kg bar of copper (specific heat 387 J/ kg• K) at 300°C is dropped into the calorimeter can. The initial length (the length before being dropped in the can) of the copper bar is 5.000 cm, and its coefficient of linear expansion is 1.7 x 10-5 1/K. The length of the copper bar after it reaches thermal equilibrium with the water and the aluminum can is 4.977 cm. What is the initial temperature of the aluminum calorimeter can and the water? Assume that no heat is lost to the surroundings.

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An aluminum calorimeter can (specific heat equal to 900 J/kg•K) with mass 0.080 kg contains 0.380 kg of
water (specific heat equal to 4190 J/ kg• K) in thermal equilibrium at atmospheric pressure. A 0.120 kg bar of
copper (specific heat 387 J/ kg• K) at 300°C is dropped into the calorimeter can. The initial length (the length
before being dropped in the can) of the copper bar is 5.000 cm, and its coefficient of linear expansion is 1.7 x
10-5 1/K. The length of the copper bar after it reaches thermal equilibrium with the water and the aluminum
can is 4.977 cm. What is the initial temperature of the aluminum calorimeter can and the water? Assume that
no heat is lost to the surroundings.
Transcribed Image Text:An aluminum calorimeter can (specific heat equal to 900 J/kg•K) with mass 0.080 kg contains 0.380 kg of water (specific heat equal to 4190 J/ kg• K) in thermal equilibrium at atmospheric pressure. A 0.120 kg bar of copper (specific heat 387 J/ kg• K) at 300°C is dropped into the calorimeter can. The initial length (the length before being dropped in the can) of the copper bar is 5.000 cm, and its coefficient of linear expansion is 1.7 x 10-5 1/K. The length of the copper bar after it reaches thermal equilibrium with the water and the aluminum can is 4.977 cm. What is the initial temperature of the aluminum calorimeter can and the water? Assume that no heat is lost to the surroundings.
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