# Thermodynamics Combustion to find the air/fuel ratio

1. May 14, 2012

### Perspex1.2

1. The problem statement, all variables and given/known data

A solid fuel supplied to a furnace had the following composition by mass.
Carbon: 86%
Hydrogen: 5%
Oxygen:4%
Incombustibles: 5%

Dry volumetric analysis of the combustion products showed the flue gas contained 15%
and 1.5% of CO2 and CO respectively. The test on the ashes discharged from the furnace
found 0.01 kg of un-burnt carbon per kilogram of the fuel supplied to the furnace.

Determine the air/fuel ratio by mass.

ANSWER is 12.67 if this helps

2. The attempt at a solution

So firstly I write out the combustion equation:

(0.86/12)C + (0.05/2)H2 + (0.06/32)O2 + 0.05ASH + Y(02 + 3.76 N2) = aCO2 + bH20 + d02 + fN2 + 0.05ASH

Firstly is the combustion equation correct?

When I equate the element atoms I have too many variables missing:

a=(0.86/12)
b=(0.05/2)
O: (0.06/32)×2 + 2Y = 2a + b + 2d
N: (3.76Y)×2 = 2f

How do I calculate the value of Y and what do I do with the 0.01 kg of un-burnt carbon?

I would very much appreciate any help with this question. Thank you.