First, you need the balanced equation:
C2H6 + (5/2)O2 → 2CO + 3H2O The ΔH of rxn in this form is the energy per 1 mole of ethane partially combusted
The ΔHrxn = 2ΔHf,CO + 3ΔHf,H2O - ΔHf,C2H6
I'll let you do the calculation. Please consider a tutor. Take care.