The total heat released, Q, equals the number of moles, n, times molar heat of fusion, Hf. this is Q = n [tex]*[/tex] Hf.
substituting the values in the above equation we get
mass = 3688.3 g
Therefore, the correct answer is option d) 3688.3 g.
The molar heat of fusion of a substance exists as the heat soaked by one mole of that substance as it exists transformed from a solid to a liquid. Since the melting of any substance absorbs heat, it observes that the freezing of any substance emits heat.
The total heat released, Q, equals the number of moles, n, times molar heat of fusion, Hf then Q = n [tex]*[/tex] Hf.
Where Q is the total heat
n be the number of moles
Hf is the molar heat of fusion.
Q = n [tex]*[/tex] Hf.
simplifying the above equation, we get
n = Q/Hf
= 235.0 kJ / 12.55 kJ/mol = 18.72 mol.
Atomic mass of Au = 197 g/mol
⇒ mass = 18.73 mol [tex]*[/tex] 197 g/mol
= 3688.3 grams.
Therefore, the correct answer is option d) 3688.3 g.
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