Titanium metal has a melting point of 1660°C. Use the information below as neede

Question

Titanium metal has a melting point of 1660°C. Use the information below as needed to estimate the boiling point of titanium. HINT: Try writing the boiling process as a simple chemical reaction, and then think about when that reaction would be spontaneous.

Ti(solid)>>> Delta H(kJ/mol)=0, DeltaG(kJ/mol)= 0, DeltaS(J/mol/K)= 30.72

Ti(liquid)>>> Delta H(kJ/mol)= 13.652, DeltaG(kJ/mol)= 11.131, DeltaS(J/mol/K)= 39.18

T(gas)>>> Delta H(kJ/mol)= 473.6, DeltaG(kJ/mol)=429, DeltaS(J/mol/K)=180.3

Explanation / Answer

Ti(liquid) ----> Ti(gas)

dHvap = dH(products) - dH(reactants)

      = (473.6) - (13.652)

      = 459.95 kJ/mol

dSvap = dS(products) - dS(reactants)

      = (180.3) - (39.18)

      = 141.12 J/K.mol

We have,

Tb = dHvap/dSvap

     = 459.95/0.14112

     = 3259.3 K

So boiling point is 3259.3 K

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