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MMLU-Pro / 11362 / Air is flowing through a nozzle with a 90% efficiency and an expansion rate of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Air is flowing through a nozzle with a 90% efficiency and an expansion rate of 2.0 Kg/s. The inlet conditions are P = 550kPa and T = 680°K. If the exit pressure is 120kPa calculate the actual exit area, velocity and enthalpy. Assume K = 1.4.

category

engineering

options

  1. Exit area = 2.37 × 10^-3m^2, Velocity = 550 m/s, Enthalpy = 400 KJ/kg
  2. Exit area = 5.37 × 10^-3m^2, Velocity = 850 m/s, Enthalpy = 550 KJ/kg
  3. Exit area = 6.37 × 10^-3m^2, Velocity = 900 m/s, Enthalpy = 610 KJ/kg
  4. Exit area = 3.37 × 10^-3m^2, Velocity = 658 m/s, Enthalpy = 465.8 KJ/kg
  5. Exit area = 4.97 × 10^-3m^2, Velocity = 800 m/s, Enthalpy = 480 KJ/kg
  6. Exit area = 3.87 × 10^-3m^2, Velocity = 620 m/s, Enthalpy = 560 KJ/kg
  7. Exit area = 2.97 × 10^-3m^2, Velocity = 700 m/s, Enthalpy = 520 KJ/kg
  8. Exit area = 1.37 × 10^-3m^2, Velocity = 600 m/s, Enthalpy = 580 KJ/kg
  9. Exit area = 4.37 × 10^-3m^2, Velocity = 750 m/s, Enthalpy = 500 KJ/kg
  10. Exit area = 2.77 × 10^-3m^2, Velocity = 780 m/s, Enthalpy = 530 KJ/kg

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11362
task_id
a19e1492-761f-5305-a1d3-1396b1151f8e
task_key
default--test--11362
task_revision_id
1
config / split
default / test

Official source

initial import