At a certain point in a pipe, air flows steadily with a velocity of \(150 \mathrm{~m} / \mathrm{s}\) and has a static pressure of \(70 \mathrm{kPa}\) and a static temperature of \(4{ }^{\circ} \mathrm{C}\). The flow is adiabatic and frictionless.

(a) Calculate the maximum possible reduction in area and the following quantities for that minimum area: stagnation pressure, stagnation temperature, static pressure, static temperature, velocity, and Mach number.

(b) Calculate the quantities listed in (a) at a point where the area is \(15 \%\) smaller than the initial area.