4.36 Nitrogen, modeled as an ideal gas, flows at a rate of 3 kg/s through a well-insulated

4.36 Nitrogen, modeled as an ideal gas, flows at a rate of 3 kg/s through a well-insulated horizontal nozzle operating at steady state. The nitrogen enters the nozzle with a velocity of 20 m/s at 340 K, 400 kPa and exits the nozzle at 100 kPa. To achieve an exit velocity of 478.8 m/s, determine (a) the exit temperature, in K. (b) the exit area, in m2.
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Textbooks:
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Fundamentals of Engineering Thermodynamics 8th Edition (Wiley):
Moran, M. J., et. al., 2014, Fundamentals of Engineering Thermodynamics, 8th ed., Wiley, Hoboken, NJ.
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Engineering Mechanics Statics (Pearson):
Hibbeler, R. C. Engineering Mechanics Statics. Pearson Prentice Hall, Pearson Education, 2016.
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[gr_engineering]

Note: At 3:24, I said “horizontal” implies no change in kinetic energy, I meant to say potential energy, NOT kinetic energy. Sorry for any confusion.

[GooseHonkHonkHonk]

It looks like your first ideal gas equation - p(V-dot)=mRT should be p(V-dot)=(m-dot)RT.

Thank you for these videos! These are a lifeline for me when I get stuck.