Mixture Composition Calculation for Combustion of Methane and Propane

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SUMMARY

The discussion focuses on calculating the composition of a gas mixture containing 10 mL of methane (CH4) and propane (C3H8) for complete combustion, requiring 41 mL of O2. Participants clarify that the goal is to determine the volume fractions of CH4 and C3H8 in the mixture. The calculations utilize the ideal gas law, with the understanding that all gases occupy the same volume at standard temperature and pressure (22.4 L/mol). The solution involves balancing the combustion equations and solving a system of equations based on the moles of reactants and products.

PREREQUISITES
  • Understanding of gas laws, specifically the ideal gas law.
  • Knowledge of stoichiometry in chemical reactions.
  • Familiarity with balancing chemical equations.
  • Basic skills in solving systems of equations.
NEXT STEPS
  • Learn how to balance chemical equations for combustion reactions.
  • Study the ideal gas law and its applications in stoichiometric calculations.
  • Explore methods for solving systems of equations in chemistry.
  • Investigate the concept of volume fractions in gas mixtures.
USEFUL FOR

Chemistry students, chemical engineers, and anyone involved in combustion analysis or gas mixture calculations will benefit from this discussion.

sitam
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OP warned about not using the homework template
Say we have a mixture of 10 mL of methane and propane. For a complete combustion, we need 41 mL of O2. Calculate the composition of the mixture in terms of volume, if atmospheric temperature and pressure are constants.

The equations are:
CH4 + O2 --> CO2 + H2O
C3H8 + O2 --> CO2 + H2O

I do not understand the question: am I asked to calculate a percentage of volumes, e.g. VCH4/VC3H8, or simply to find the volumes of CH4 and C3H8 separately (if so, how?)? Am I considering the reactives or the products of the reaction? :confused:

These calculations must come in somewhere in the solution:
I know that all gazes have the same molecular volume at normal temperature and pressure: 22.4L/mol. Therefore I can determine the quantity of moles of each component. In the initial mixture (before reaction), there is:
0.224mol of CH4 + C3H8
0.918mol of O2.

Thx. for helping!
 
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sitam said:
composition
sitam said:
volumes of CH4 and C3H8
You want the volume fraction of the initial mixture, (methane/(methane + propane)), or (propane/(methane + propane)).
sitam said:
0.224mol of CH4 + C3H8
This is correct, given the ideal gas constraint.
sitam said:
41 mL of O2
sitam said:
CH4 + O2 --> CO2 + H2O
C3H8 + O2 --> CO2 + H2O
Balance these two equations.
Solve the system of two equations in two unknowns, number of moles ∝ 10 and number of moles ∝ f(41).
 

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