(adsbygoogle = window.adsbygoogle || []).push({}); 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)H_{2}+ (0.06/32)O_{2}+ 0.05ASH + Y(0_{2}+ 3.76 N_{2}) = aCO_{2}+ bH_{2}0 + d0_{2}+ fN_{2}+ 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.

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# Homework Help: Thermodynamics Combustion to find the air/fuel ratio

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