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Hi! Not sure where to start with this question. I have provided the answer that

ID: 1819323 • Letter: H

Question

Hi! Not sure where to start with this question. I have provided the answer that I am trying to work towards at the end of this post. Detailed steps would be greatly appreciated.

A certain natural gas has the following volumetric analysis:

This gas is burned with the stoichiometric required amount of dry air The combustion process is found to yield 100% conversion of the hydrogen, but only 85% conversion of the methane. What is the mole percent and weight percent of all constituents (chemical species) in the exhaust gas?

Hint: To get the stoichiometric amount of oxygen required, consider the product gas to contain only CO2, H2O and N2. For the 85% conversion of methane, treat each feed species separatley, meaning that 15% of the methane passes through the reactor and becomes part of the products slate while all of the hydrogen reacts.

ANSWER: CO2 in the product gas represents 8.54 mole% and 13.54 wt% of the total gas.

Explanation / Answer

Basis:100 moles of Feed

1.           CH4 + 202 ----------> CO2 + 2H20

            55.25    110.5           55.25     110.5

65*0.85= 55.25 moles of CH4 reacts with 2*55.25=110.5 moles of O2 to produce 55.25 moles of CO2 and 110.5 moles of H2O.

2.            H2 + 1/2O2 ----------> H2O

               8        4                       8
Same as above 8 moles reacts with 4 to produce 8 moles.

Total O2 required = 110.5+4-3=111.5 moles (Since we already have 3 moles)

Assuming Air to be a mixture of 79% N2 & 21% O2 (mol %)

Moles of Air required = 111.5/.21=530.95 moles

Moles of N2 from Air = 530.95 * .79 =419.45 moles


Feed:(Moles)               Product:(Moles)              
CH4-65                       CH4-65*.15=9.75              
H2-8                           N2-18+419.45=437.45        
N2-18                         CO2-6+55.25=61.25            
02-3                           H20-8+110.5=118.5          
CO2-6                        Total=626.95                                             

Product:          Mol %                Wt(gm)                Wt%

CH4                1.55            9.75*16=156                  0.90

N2                  69.77        437.45*28=12248.6          71.08

CO2                9.77          61.25*44=2695                15.64

H2O                18.90        118.5*18=2133                12.38

                                        Total=17232.6

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