For a nozzle with Ae$/$A$=4,$ consider the following operation conditions:

Ae $=2$ m$^2$

A$*=0\mathrm{.}5$ m$^2$

pe$=0\mathrm{.}163$

pres$=33\mathrm{.}567$

If the Pitot pressure measurement at the throat is p$0=5\mathrm{.}5$atm and the flow at the exit Ae is perfectly expanded, find the pressure at the throat, pt$.$

Answer: pt $=2\mathrm{.}91$