Problem $3$ Paraffin Wax$/$Oxygen Combustion: Construct the molecular structure for a

paraffin wax that can be modeled by the fully saturated paraffin $($straight chain$),n-$

C$32$H$66.$ Estimate the heat of formation for this particular wax in solid phase at $25C.$

Assume that the heat of fusion and heat of vaporization at $\frac{25}{b}ar(C)$ are $40\mathrm{.}6$ and $83\mathrm{.}7$kca$\frac{l}{k}g,$

respectively. Write down the stoichiometric reaction for this wax with gaseous oxygen.

Construct and plot the $c^{**}$ and vacuum Isp, versus $\frac{O}{F}$ curves. Assume a chamber pressure

of $500$ and a nozzle area ratio of $70.$ Use the shifting equilibrium approximation.