Mean molar mass after combustion in a combustion engine

AI Thread Summary
To calculate the mean molar mass after combustion in a combustion engine, the balanced reaction equation for the combustion of butane (C4H10) is essential. The problem involves determining the coefficients α, β, and γ for water, carbon dioxide, and nitrogen, respectively, based on the given masses of air and fuel. The participant has attempted to balance the equation by calculating the number of molecules of oxygen and nitrogen but is struggling to arrive at the correct mean molar mass. Assistance is sought in balancing the equation and calculating the mean molar mass accurately. Providing detailed calculations is necessary for effective guidance.
ChristopherJ
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Homework Statement


The problem is to calculate the mean molar mass of the reaktion below, which takes place in a combustion engine.

C4H10 + z(0.79N2 + 0.21O2) → αH2O + βCO2 + γN2

where the molar masses for the different molecules/atoms are:
MH2O = 18, MCO2 = 44, MN2 = 28, MO2 = 32, MC = 12, MH = 1.

The mass of the air in the cylinder before combustion is 2.39905 grams. The mass of the fuel in the cylinder is 45.0 milligrams.

Homework Equations


See above


The Attempt at a Solution


I have tried to balance the equation above by calculating the amount of molecules of oxygen and nitrogen in the cylinder and the amount of molecules in the fuel to get α, β and γ. And then use these values to balance the reaction equation above. The mean molar mass can be calculated by dividing the right hand side by the amount of molecules at hand.

But, I don't get the right answer by doing this. Can anyone help me with this?

I am very grateful for answers!

Best regards
Christopher
 
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