The maximum amount of gold you can melt with 1 million joules of energy is approximately 15.5 kg.
To solve this problem, we can use the formula for phase change or more specifically the amount of energy required to change a solid to a liquid.
It is given as:
Q = mLf
Where:
Q = energy
m = mass
Lf = latent heat of fusion
In this case our values are:
Q = 1m J
m = ?
Lf = 6.44 × 10⁴ J/kg
Since we're solving for m, we can rearrange the formula to obtain it:
Q = mLF
Q/Lf = m
Now, we can substitute in our values and solve for the mass.
1000000 J / 6.44 × 10⁴ J/kg = m
m = 15.527
Round to nearest tenth.
m = 15.5
Therefore, the maximum amount of gold you can melt with 1 million Joules of energy is 15.5 kilograms.
