Propane is burned completely with excess oxygen. The product gas contains 24.8 mole% CO2, 6.12% CO, 40.8% H2O, and 28.6% O2.


a) Calculate the percentage excess O2 fed to the furnace.


b) A student wrote the stiochemtric equation of the combustion of propane to form CO2 and Co as


2C3H8 + 17/2O2 ---------> 3CO2 + 3CO +8H20


According to this equation, CO2 and CO should be a ratio of 1/1 in the reaction products, but in the product gas of part (a) they are in a ratio of 24.8/6.12. Is the result possible? (Hint:Yes) Explain how.

Respuesta :

Answer:

66% excess of O₂

Explanation:

a. The combustion of propane (C₃H₈) produce:

C₃H₈ + 5O₂ → 3CO₂ +4H₂O (1)

And:

C₃H₈ + ⁷/₂O₂ → 3CO + 4H₂O (2)

The sum of the two reactions is:

2C₃H₈ + ¹⁷/₂O₂ → 3CO₂ + 3CO + 4H₂O (3)

As 8 moles of H₂O are produced from 2moles of C₃H₈ the initial moles of propane (assuming 100 total initial moles) is:

40,8molH₂O×[tex]\frac{2molC_{3}H_{8}}{8molH_{2}O}[/tex] = 10,2 molesC₃H₈

For a complete reaction of 10,2 moles of C₃H₈ there are necessaries:

10,2 molesC₃H₈×[tex]\frac{17/2molO_{2}}{2molC_{3}H_{8}}[/tex] = 43,35 mol O₂

As the product gas contains 28,6 moles of O₂, the initial total moles are:

43,35mol + 28,6mol = 71,95 initial moles of O₂

The formula of percentage excess O₂ is:

[tex]\frac{InitialMoles-TheoreticalMoles}{TheoreticalMoles}[/tex]×100

Replacing:

[tex]\frac{71,95-43,35}{43,35}[/tex]×100 = 66% excess of O₂

b. The production of CO₂ and CO from C₃H₈ could be seen as two different reactions (1) and (2). The different conditions of combustion of propane could produce more CO₂ over CO and vice versa. For this reason, the ratio of CO₂/CO could be different of 1.

I hope it helps!