J.R. S. answered 11/21/18
Ph.D. University Professor with 10+ years Tutoring Experience
To answer this you need the enthalpy of combustion for ethane. I found a value of -1561kJ/mole. Your mileage may vary.
2C2H6 + 7O2 ==> 2CO2 + 3H2O
3.02 g ethane x 1 mole ethane/30 g = 0.100 moles ethane
12.95 g O2 x 1 mole/32 g = 0.405 moles O2
Limiting reactant:
0.1 mole ethane/2 = 0.05
0.405 mole Oxygen/7 = 0.058
Ethane would be limiting
0.1 mole ethane x 1561 kJ/mole = 156 kJ = energy change