Air enters a 16-cm-diameter pipe steadily at 200 kPa and 20°C with a velocity of 5 m/s. Air is heated as it flows, and it leaves the pipe at 180 kPa and 43°C. The gas constant of air is 0.287 kPa·m3/kg·K. Whats the volumetric flow rate of the inlet/outlet, mass flow rate and velocity & volume flow rate at the exit?

Explanation:

(a)  We will determine the mass flow rate as follows.

                m =

                    =

                    =

Putting the given values into the above formula as follows.

      m =

          =                          

          = 0.239 kg/s

Hence, the mass flow rate of the inlet/outlet is 0.239 kg/s.

(b)  Now, we will determine the final volume rate as follows.

                        =

                        =

                        = 0.119

And, the final velocity will be determined as follows.

                         =

                         =

                         = 5.92 m/s

Therefore, the volumetric flow rate is 0.119 and velocity rate is 5.92 m/s.

a and b sometimes have a positive value