An internal combustion engine uses ethylene $(C_2{H}_4)$ as a fuel. The molecular weights of air and ethylene are $29$ and $28\frac{g}{m}ol,$ respectively. It is required to:

Write the balanced chemical equation for ethylene with stoichiometric oxygen. $(2$ marks$)$

Write the balanced chemical equation for ethylene with $10\%$ excess air. $(2$ marks$)$

Obtain the stoichiometric air$/$fuel ratio. $(2$ marks$)$

Obtain the actual air$/$fuel ratio. $(2$ marks$)$

Calculate the fuel$-$equivalence ratio. $(2$ marks$)$

Determine if the fuel mixture is rich or lean. $(1$ mark$)$