$2-2-26$ Nitrogen gas flows steadily through a pipe of diameter $10$ cm $.$ The inlet conditions are as follows: pressure $400$ kPa $,$ temperature $300$ K $,$ and velocity $20\frac{m}{s}.$ At the exit, the pressure is $350$ KPa $($due to frictional losses$).$ If the flow rate of mass and flow energy remain constant, determine $($a$)$ the exit temperature and $($b$)$ exit velocity, Use the IG $($ideal gas$)$ How$-$state TESTcalc. $($c$)$ What$-$if scenario: What is the exit temperature if kinetic energy was neglected?