Question

Calculate the melting point of aluminum oxide (Al2O3) given that its enthalpy of fusion is 326 kJ/mol and its entropy of fusion is 110 J/(mol*K). Assume standard pressure and temperature conditions (STP).

Answer 1

To calculate the melting point of aluminum oxide  Al2O3 , we can use the following equation:Melting point  Tm  = Enthalpy of fusion  Hfus  / Entropy of fusion  Sfus Given that the enthalpy of fusion  Hfus  is 326 kJ/mol and the entropy of fusion  Sfus  is 110 J/ mol*K , we can plug these values into the equation:Tm =  326 kJ/mol  /  110 J/ mol*K  First, we need to convert kJ to J:326 kJ/mol *  1000 J/1 kJ  = 326000 J/molNow, we can plug this value back into the equation:Tm =  326000 J/mol  /  110 J/ mol*K  Tm = 2963.64 KThe melting point of aluminum oxide  Al2O3  is approximately 2964 K.