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Air enters a 16-cm-diameter pipe steadily at 200 kPa and 20°C with a velocity of

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?
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love12236
love12236
4,6(73 marks)

Explanation:

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

                m = \rho_{1} V_{1}

                    = \frac{P_{1}}{RT_{1}}A_{1}v_{1}

                    = \frac{P_{1}}{RT_{1}} \times \frac{D^{2}}{4} \pi v_{1}

Putting the given values into the above formula as follows.

      m = \frac{P_{1}}{RT_{1}} \times \frac{D^{2}}{4} \pi v_{1}

          = \frac{200}{0.287 \times 293 K} \times \frac{(0.16)^{2}}{4} \pi \times 5                          

          = 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.

            V_{2} = \frac{m}{\rho_{2}}

                        = \frac{RT_{2}m}{P_{2}}

                        = \frac{0.287 \times 313 \times 0.239}{180}

                        = 0.119 m^{3}/s

And, the final velocity will be determined as follows.

               v_{2} = \frac{V_{2}}{A}

                         = \frac{4V_{2}}{D^{2} \times \pi}

                         = \frac{4 \times 0.119}{(0.16)^{2} \times \pi}

                         = 5.92 m/s

Therefore, the volumetric flow rate is 0.119 m^{3}/s and velocity rate is 5.92 m/s.

jaquezdaking4919
jaquezdaking4919
4,9(90 marks)

a. energy is created as the log burns b. the compounds that make up the log are converted into fire, heat, and energy. c. as the log burns, the nuclear binding energy of the molecules in the log is released. the nuclear binding energy is transformed into the light and heat of the fire. d. the molecules present in the log are transformed into molecules that contain less energy than the original molecules. the energy difference is the heat of the fire?Explanation:

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