A mixture of methane and ethylene in the ratio of by volume occupies . On complete combustion, the mixture yields of . What volume of would have been obtained if the ratio would have been ?

Question

A mixture of methane and ethylene in the ratio of  by volume occupies . On complete combustion, the mixture yields  of . What volume of  would have been obtained if the ratio would have been ?

Canvas Classes · Accepted Answer

Strategy:
 First, define the stoichiometric relationship for the combustion of methane and ethylene. Use the initial volume and product yield to solve for the individual volumes in the existing  ratio, then apply those volumes to the reversed  scenario.

Step 1: Define volume relationships
-  gives 1 vol : 
-  gives 2 vols :

Step 2: Solve for a and b
1) 
2) 
Subtracting (1) from (2) gives , hence .

Step 3: Calculate yield for reversed b:a ratio
In the new case,  volume  and  volume .

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