Consider the combustion of octane in air. Assume the air is dry. After analyzing the products,

the volumetric composition of CO$2$ is $10\mathrm{.}02\%,$ O$2$ is $5\mathrm{.}62\%,$ CO is $0\mathrm{.}88\%$ and N$2$ is $83\mathrm{.}48\%.$

Hint: Gas analyzer typically do not measure the amount of water and determine the exhaust

composition on a $$dry$$ basis. Water should be considered as one of the products.

a$)$ What was the air$/$fuel ratio?

b$)$ What percentage of theoretical air was utilized?

c$)$ If the products are cooled to $25\backslash$deg C at $100$ kPa, what percentage of water condenses?