Balanced Eqn
2
C
2
H
6
+
7
O
2
=
4
C
O
2
+
6
H
2
O
By the Balanced eqn
60g ethane requires 7x32= 224g oxygen
here ethane is in excess.oxygen will be fully consumed
hence
300g oxygen will consume  
60
⋅
300
224
=
80.36
g
 ethane
leaving (270-80.36)= 189.64 g ethane.
By the Balanced eqn
60g ethane produces 4x44 g CO2
hence amount of CO2 produced =
4
⋅
44
⋅
80.36
60
=
235.72
g
and its no. of moles will be  
235.72
44
 =5.36 where 44 is the molar mass of Carbon dioxide
hope this helps
 
        
             
        
        
        
Omg that is that ( but I do not know this
        
                    
             
        
        
        
Because they're not confident enough to confirm it's indeed true but they will support it for they believe it's correct.