Concept explainers
Interpretation:
The volume of air that would be needed to combust
Concept introduction:
The stoichiometry of a chemical species involved in a
Where,
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•
Answer to Problem 11.68E
The volume of air that would be needed to combust
Explanation of Solution
The complete combustion reaction of methane is represented as,
The given mass of methane is
The molar mass of oxygen is
The molar mass of methane is
The number of moles of a substance is given as,
Where,
•
•
Substitute the mass and molar mass of methane in the equation (1).
Therefore, the number of moles of methane present in the reaction mixture is
One mole of methane reacts with two moles of oxygen gas. Therefore, the relation between the number of moles of methane and oxygen is given as,
Where,
•
•
Substitute the value of
The pressure of a substance at STP is
The temperature of a substance at STP is
The ideal gas equation is given as,
Where,
•
•
•
•
•
Rearrange the above equation for the value of
Substitute the value of number of moles of oxygen,
Therefore, the volume of oxygen required to react with methane is
It is given that air is composed of about
The formula for volume percentage is represented as:
Where,
•
•
Rearrange the above equation for the value of
Substitute the value of volume percentage of oxygen and volume of oxygen in the equation (5).
Therefore, the volume of air that would be needed to combust
The volume of air that would be needed to combust
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