Question

A 40.0g sample of an unknow, yellowish-brown, pure metal was heated to 62degrees Celcius and put into a coffee cup calorimeter containing 85.0g of watera at 19.2 degrees Celcius. The water was heated by the hot metal to a temperature of 21.0 degrees Celcius. What is the specific heat of the metal? Is it possible that the metl is gold?
See above.
1st find the heat of water in Joules. Heat absorbed by water is heat lost by metal.

Use this to find Specific heat of metal:
SH = J/mass*Change in Temp of metal
SH = 640.152J/40g*41C
SH = 390.33658854 x 10^-3
SH = .390 J/gC

It's not gold whose SPHeat is .131...it is likely copper perhaps.

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