The amount of heat needed is 338 J
Explanation:
When a substance is at its melting point, the amount of heat required in order to completely melt the substance is given by the equation:
[tex]Q=m\lambda[/tex]
where:
m is the mass of the substance
[tex]\lambda[/tex] is the specific latent heat of fusion of the substance
In this problem, we have:
m = 5.24 g is the mass of gold
[tex]\lambda=64.5 J/g[/tex] is the specific latent heat of gold
The sample of gold is already at its melting point, [tex]1063^{\circ}C[/tex], therefore the amount of heat needed to melt it is:
[tex]Q=(64.5)(5.24)=338 J[/tex]
Learn more about specific heat:
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