Final answer:
The mass of the melted gold is 100 kg.
Step-by-step explanation:
To determine the mass of the melted gold, we can use the equation: Q = mcΔT, where Q is the heat energy absorbed, m is the mass, c is the specific heat, and ΔT is the change in temperature.
In this case,
Q = 153,000 J,
ΔT = 108°C - 18°C
= 90°C,
c = 136 J/kg/°C.
We can rearrange the equation to solve for m: m = Q / (cΔT).
Substituting the given values, we have
m = 153,000 J / (136 J/kg/°C)(90°C)
= 100 kg.