Now, your boss asks you to modify that same nozzle so that air at its exit comes out at a Mach number of $2\mathrm{.}5,$ tasking you to design a cylindrical wind tunnel test section that will be placed directly on the nozzle exit plane, with an area of $\backslash (\backslash$mathbf$\{1\}\backslash$boldsymbol$\{$m$\}^\{\backslash$mathbf$\{2\}\}\backslash ).$

Determine:

$1)...$ the throat diameter that you will use for this;

$2)...$ the stagnation pressure, assuming that the test section runs at standard atmospheric pressure;

$3)...$ the test section temperature, assuming that the reservoir is held at standard atmospheric temperature.

$4)$ What potential serious problem do you see with the flow of air in this wind tunnel, if it were to be used as$-$is$,$ near Morro Bay, on foggy late spring mornings? What could you do to remediate that problem?