Problem #$3$: Burning of diesel fuel. Diesel engines burn diesel fuel instead of

gasoline. Diesel can be approximated at $C_{12}{H}_{23}.$ The combustion chamber is the

control volume. There are $5\mathrm{.}9k\frac{g}{h}r$ of diesel fuel entering the chamber along with air.

Also entering the chamber is $3000mo\frac{l}{h}r$ of air that contains $79$mol$\%N_2$ and $21$mol$\%$

$O_2.$ Assume that the reaction goes to completion and that nitrogen doesn't react.

a$.(3)$When fuel is burned in the presence of oxygen, the resultant products are

$C{O}_2$ and $H_{2}O.$ Write out the combustion chemical equation and balance it$.$

Make sure that the coefficient in front of the diesel is $1($fractions are ok$).$

b$.(3)n^{}{?}^{[0B]}$ for molar flowrate since we are now doing chemical reactions.

c$.(3)$ Write out the molar balance for each species.

d$.(3)$ Write out a SPICEY table below. Assume complete reaction for the

limiting reactant.

e$.(3)$ Which one is the limiting reactant?

f$.(3)$ Is the engine burning lean $($excess oxygen$)$ or rich $($excess fuel$)?$

g$.(3)$ What is the extent of reaction?

h$.(3)$ Calculate the mol fraction of $C{O}_2$ leaving the chamber.

i$.(3)$ Are the number of moles entering the chamber equal to the number of

moles leaving? Why or why not?

j$.(6)$ Use Excel to calculate the mass of each species entering and exiting the

reactor. Does the total mass in equal the total mass out?