Air flows steadily through a long, insulated constant-area pipe. At section (1), (M_{1}=2.0, T_{1}=140^{circ} mathrm{F}), and (p_{1}=35.9

Question:

Air flows steadily through a long, insulated constant-area pipe. At section (1), $M_{1}=2.0, T_{1}=140^{\circ} \mathrm{F}$, and $p_{1}=35.9 \mathrm{psia}$. At section (2), downstream from a normal shock, $V_{2}=1080 \mathrm{ft} / \mathrm{s}$. Determine the density and Mach number at section (2). Make a qualitative sketch of the pressure distribution along the pipe.