Final answer:
The melting point of gold can be calculated using the Clausius-Clapeyron relation, where the enthalpy of fusion (12.55 kJ/mol) is divided by the entropy change of fusion (9.384 J/mol∙K), resulting in a melting point of approximately 1337.856 Kelvins.
Step-by-step explanation:
To find the melting point of gold, we will use the Clausius-Clapeyron relation which relates the pressure and temperature to the enthalpy of fusion and the entropy change during the phase change:
∆H = T ∙ ∆S
Where ∆H represents the enthalpy of fusion, T is the temperature in Kelvin, and ∆S is the entropy change of fusion. Given that the enthalpy of fusion (∆Hfus) of gold is 12.55 kJ/mol and the entropy change of fusion (∆Sfus) is 9.384 J/mol∙K, we can rearrange the formula to solve for T as follows:
T = ∆Hfus / ∆Sfus
Now we can plug in the values:
T = (12.55 ∙ 103 J/mol) / (9.384 J/mol∙K)
T = 1337.856 K
This yields a melting point T of approximately 1337.856 Kelvins for gold.