We have given, weight of gold = 2g
Change in temperature = 11.7° or 11.7 k
Heat supplied = 3.0 J
Q = msot
where = Q = Heat
m = mass of object
ot = change in temperature
s = Specific heat of substance
3.0 J = 2.0 x s x 11.7
s = 3/ 2.0 x 11.7
s = 0.128 J/gk
Hence, the specific heat of gold will be 0.128 J/gk