Calculate Heat Transfer in a Furnace Powered by Propane

Question

In an industrial process, propane is combusted in a furnace at 1000°C.  An inlet stream of propane enters at 100 mol/s and 25°C.  An air stream containing 20% excess oxygen enters the reactor at 300°C.  The propane reacts completely with oxygen to form water and carbon dioxide
by the following reaction:

C₃H₈(g) + 5O₂(g) → 3CO₂(g) + 4H₂O (l) ∆H_r⁰ = -2220 kJ/mol

Assuming no shaft work, calculate the heating requirement for the furnace using two different methods: (i) the heat of reaction method and (ii) the heat of formation method.  Is heat transferred to or from the furnace?

Relevant thermodynamic data:

 

Water (gas): ∆H_f = -241.83kJ/mol, ∆H_v = 40.656kJ/mol
Water (liquid): ∆H_f = -285.84kJ/mol, C_P = 75.4J/mol/K   
Propane (gas): ∆H_f  = -103.8kJ/mol
Carbon dioxide (gas): ∆H_f = -393.5kJ/mol

Summary

The question belongs to Chemical Engineering and the question is about heat transfer in a furnace where propane is used as the fuel with air being pumped with 25% extra oxygen. The question is to find the heat reaction method, heat of formation method and whether heat is transferred to or from the furnace.

Note: The answers are in handwritten format