Consider the system shown in the figure. The system consists of two large air tanks connected by a series of devices. Due to the pressure difference between the tanks, air flows from one tank to the other through the connected devices in a steady process. However, the direction of air flow between the tanks is unknown. All ducts are thermally insulated so any heat transfer effects can be neglected. Irreversibilities associated with friction can be neglected in the convergent$-$divergent devices but not in the duct between points $3$ and $4.$ Any other irreversibilities can be neglected throughout the process. The figure shows all the data necessary for the solution of the problem.

a$.$ Determine the Mach number and the magnitude of the velocity, in m$/$s$,$ at point $2$

b$.$ Determine the Mach number, and the magnitude of the velocity, in m$/$s$,$ at point $5$

c$.$ Determine the Mach number, and the magnitude of the velocity, in m$/$s$,$ at point $4$

d$.$ Determine the mass flow of air, in kg$/$s

e$.$ Determine the Mach number, the temperature, in K$,$ and the velocity, in m$/$s$,$ at point $6$

f$.$ Determine the Mach number and the pressure, in kPa, at point $3$

g$.$ Determine the length, in cm$,$ of duct $2-3$

h$.$ Determine the pressure, in kPa, of the air in each of the tanks