Find the useful heat generated by the bombustion of 1lbm of ethane in a furnace

Question

Find the useful heat generated by the bombustion of 1lbm of ethane in a furnace 20% deficient of air if the reactants are at 25 C and the products at 1500 K. Assume the hydrogen, being more reactive than carbon, satisfies itself first with the oxygen it needs and burns completely to H2O. Five percent of the heat is lost to the furnace interior.

The stoichiometric equation is:

C2H6+3.5O2+13.16N2——> 2CO2+3H2O+13.16N2

with 20% deficient air the equation becomes:

C2H6+2.8O2+10.528N2--------> aCO2+bCO+3H2O+10.528N2

Solve for a and b to get the combustion equation.

Explanation / Answer

C2H6+2.8O2+10.528N2--------> aCO2+bCO+3H2O+10.528N2

To get the final combustion equation, balance the C and remainig O by hit and trial method.

So, substitue a = 0.6 and b = 1.4 then all the C and O get balanced.

C2H6+2.8O2+10.528N2--------> 0.6 CO2+ 1.4 CO+3H2O+10.528N2

Atom Left Right

C   2       (0.6+1.4 = 2)

H   6       (3*2 = 6)

O   2.8*2 = 5.6     0.6*2 + 1.4 *1 + 3* 1 = 5.6

N2 10.528    10.528

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