A $75$ mm diameter duct is connected to a tank by a converging device. The converging device is thermally insulated but the duct is not. Friction effects can be neglected throughout the process. The pressure and temperature in the tank are $4\mathrm{.}8$ bar and $320$ K$,$ respectively. The duct discharges to the atmosphere at $101\mathrm{.}325$ kPa and heat is added in the process at a rate of $335$ kJ$/$kg$.$ Assuming

perfect gas behavior, do the following:

a$.$ Determine the Mach number, velocity, in m$/$s$,$ temperature, in K$,$ and pressure, in kPa, at the inlet of the constant area duct.

b$.$ Determine the Mach number, temperature, in K$,$ velocity, in m$/$s$,$ and pressure, in kPa, at the outlet of the constant area duct.

c$.$ Determine the mass flow rate of air $[$kg$/$s$]$