Convert mass of C2H6 to moles
n(C2H6) = m/M = 3.8g/30g/mol = 0.1267 mol
2C2H6 + 7O2 = 4CO2 + 6H2O
According to the equation, use simple proportion to find moles O2 required
2 mol C2H6 - 7 mol O2
0.1267 mol - x
n(O2) = 0.443 mol
Convert moles of O2 to a volume
V(O2) = n*Vm = 0.443mol*22.4L/mol = 9.92 L
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