A mixture of $30$ mole $\%$ ethane and the balance n$-$Hexane is burned with $15\%$ excess air. Take a basis of $100$ mols of mixture hydrocarbon feed, assume the combustion reactions are complete and determine the:

a$)$ stoichiometric mols of oxygen

b$)$ actual air fed in mols

c$)$ flow of oxygen in the exhaust gas in mols

d$)$ total flow of carbon dioxide in the exhaust in mols

e$)$ molar percentage of water in the exhaust gas