A 400.0 gg chunk of an unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.20 kgkg of water at room temperature (20.0∘C∘C). After waiting and gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0 ∘C∘C. Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
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A 400.0 gg chunk of an unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.20 kgkg of water at room temperature (20.0∘C∘C). After waiting and gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0 ∘C∘C.

Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal?
Express your answer in Joules per kilogram-Kelvin.
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