A 36.0−g sample of an unknown metal at 99°C was placed in a constant-pressure calorimeter containing 60.0 g of water at 24.0°C. The final temperature of the system was found to be 28.4°C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 13.4 J/°C.)
Heat lost by metal = -msmetal∆T
=-36×Smetal×(28.4-99)
=(36×70.6)Smetal
Heat gain by water = 60×4.184×(28.4-24)
= 1104.58
1104.58= 2541.6Smetal
specific heat of the metal= 0.435
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