
Ember B.
asked 03/28/22If 402 mol of octane combusts, what volume of carbon dioxcideis produced at 12.0 degrees celcius aand 0.995 atm
The combustion of octane, C8H18, proceeds according to the reaction shown. 2C8H18(l)+25O2(g)⟶16CO2(g)+18H2O(l) If 402 mol of octane combusts, what volume of carbon dioxide is produced at 12.0 ∘C and 0.995 atm?
1 Expert Answer
J.R. S. answered 03/29/22
Ph.D. University Professor with 10+ years Tutoring Experience
2C8H18(l) + 25O2(g) ==> 16CO2(g) + 18H2O(l) ... balanced equation
402 mol C8H18 x 16 mol CO2 / 2 mol C8H18 = 3216 mols CO produced
Now we use the ideal gas law to convert 3216 mols CO2 to volume (in liters)
PV= nRT
P = pressure = 0.995 atm
V = volume in liters = ?
n = moles = 3216
R = gas constant = 0.0821 Latm/Kmol
T = temperature in K = 12.0º + 273 = 285K
Solving for V, we have...
V = nRT/P = (3216)(0.0821)(285) / 0.995
V = 75,600 L (3 sig. figs)
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Stanton D.
So Ember B., Just carry the # mol for the octane through the proportions of the balanced equation. You know how to work those coefficients, right? That will give you 8*402 mol of CO2. Use your Universal Gas Law to figure that at the specified conditions (the CO2 isn't "produced" at those conditions; this standard text means that you take it and set it to those conditions by appropriate manipulations of temperature and pressure). Curious coincidence, You and Octane meeting -- combustion was .... inevitable? -- Cheers, --Mr. d.03/29/22