A1.00x104 g piece of metal at 50.0°c is placed in 1000. g of water at 10.0°c. the metal and water come to the same temperature of 31.4 °c. what is the specific heat of the metal? find the specific heat of the pure metal in both cal/(g·°c) and j/(g·°c).

C=Q/m*deltaT
Qwater=1000g*4.184J/gC*21.4C=89537.6J
cmetal=89537.6J/(10000g)*(18.6C)=0.481J/g*C  
Qwater=1000g*1.00cal/C*21.4=21400cal
cmetal= 21400cal/(10000g)*(18.6C)=0.115cal/g*C

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Scientific classification