(3)

By 1 and 3

(4)

By 3 and 4   

Solution gives T_f =2300K.
Consider the use of expression C_P =a +b T  and recalculating flame temperature Calculating  and making heat balance gives                                                                                               

This is a quadratic equation whose solution gives 
 

Let us calculate flame temperature by using average C_P values of POC. Average C_P values of POC are given in lecture 12.

Solution gives T = 2643K.

We note that the accuracy of calculation depends on C_P  values. For accurate calculations
 must be used.However using , though simplifies calculation but flame temperature is slightly greater (a difference of 20 K in this example). Use of average C_P values though simplifies the flame temperature calculation but calculated flame temperature  is greater than earlier ones