Final answer:
The melting point of magnesium is found using the values for enthalpy of fusion and entropy of fusion, resulting in 649.63 °C after conversion from Kelvin.
Step-by-step explanation:
The student has asked for the melting point of magnesium given the enthalpy of fusion (ΔHfusion) and the entropy of fusion (ΔSfusion). The melting point can be found using the equation from thermodynamics, which describes the relationship between these values at the melting point (Tm): ΔHfusion = TmΔSfusion. We first need to convert the entropy from J to kJ by dividing by 1000, resulting in 0.00979 kJ/(K⋅mol). Using the given values, ΔHfusion = 9.037 kJ/mol and ΔSfusion = 0.00979 kJ/(K⋅mol), and rearranging the equation for Tm, we get Tm (in Kelvin) = ΔHfusion / ΔSfusion, which equals 9.037 kJ/mol / 0.00979 kJ/(K⋅mol) = 922.78 K. To convert this to Celsius, subtract 273.15 from the Kelvin value, resulting in 649.63 °C. Therefore, the melting point of magnesium is 649.63 °C.