A 92 g mixture of methane ( C H 4 ) and ethane ( C 2 H 6 ) is prepared for combustion. Calculate the minimum mass of oxygen ( O 2 ) required for the complete combustion of this mixture such th

Question

A 92 g mixture of methane ( C H 4 ​ ) and ethane ( C 2 ​ H 6 ​ ) is prepared for combustion. Calculate the minimum mass of oxygen ( O 2 ​ ) required for the complete combustion of this mixture such that it leads to the instrument heat output. The conditions for the problem are: The average molar mass of the mixture ( M a vg ​ ) satisfies: 20 g / m o l < M a vg ​ < 23 g / m o l . Assume all reactions have a 100% yield. The heat output per mole during combustion is greater for ethane than for methane ( C 2 ​ H 6 ​ > C H 4 ​ ).

TestHub · Accepted Answer

For maximum heat output, C₂H₆ should be present in the highest amount.

$M_{a vg} = 23 = \frac{92}{m o l es} T o t a l m o l es = 4 = n_{C H_{4}} + n_{C_{2} H_{6}} n_{C H_{4}} \times 16 + n_{C_{2} H_{6}} \times 30 = 92 n_{C H_{4}} = 2 n_{C_{2} H_{6}} = 2 n_{C l_{2}} re q u i re d = 4 + 7 = 11 m o l es m_{O_{2}} = 352 g m$

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