Mass of styrofoam cup: 7.87g
Mass of cup + water: 128.22g
Mass of water 120.35g
Initial temperature of water in cup: 20.9 C
Initial Temperature of metal in boiling water: 100.0 C
Final temperature of metal and water: 29.0 C
Mass of metal alone: 89.04g
Heat gained by water: 120.35g*4.184J/gC*8.1C=4079J
Specific Heat of Metal: -4079J/(89.04g)*(20.9C-100.0C)=0.58J/gC
Based off this, the closest metal would be steel. The reason for error would be that perhaps the thermometer was slightly off, or just a few incorrect measurements (i.e. being of by a few tenths of a gram on measurement).
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