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MMLU-Pro / 11824 / Air behaving as an ideal gas at 25 Bar and 50°C enters a converging nozzle…

Problem

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

question

Air behaving as an ideal gas at 25 Bar and 50°C enters a converging nozzle having the exit cross-sectional area 6×10^-4 m^2 with negligible initial velocity. The flow is isentropic. Calculate the mass flow rate (Kg/sec) and the linear velocity (m/sec) at the exit if a) the exit pressure is 15 Bar, and b) the exit pressure is 12 Bar. Properties of air: Cp = 32 KJ/kg. mol. °K C_V = 20.84 KJ/kg. mol. °K and M = 29 Kg/Kg.mol.

category

engineering

options

  1. a) 3.42 kg/sec, 295 m/sec, b) 3.48 kg/sec, 335 m/sec
  2. a) 3.6 kg/sec, 275 m/sec, b) 3.4 kg/sec, 345 m/sec
  3. a) 3.3 kg/sec, 290 m/sec, b) 3.45 kg/sec, 338 m/sec
  4. a) 3.55 kg/sec, 270 m/sec, b) 3.65 kg/sec, 328 m/sec
  5. a) 3.2 kg/sec, 310 m/sec, b) 3.7 kg/sec, 320 m/sec
  6. a) 3.45 kg/sec, 285 m/sec, b) 3.55 kg/sec, 315 m/sec
  7. a) 3.0 kg/sec, 300 m/sec, b) 3.6 kg/sec, 340 m/sec
  8. a) 3.1 kg/sec, 305 m/sec, b) 3.2 kg/sec, 350 m/sec
  9. a) 3.4 kg/sec, 280 m/sec, b) 3.5 kg/sec, 325 m/sec
  10. a) 3.5 kg/sec, 290 m/sec, b) 3.3 kg/sec, 330 m/sec

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11824
task_id
bd75d9cd-2877-5914-b1ec-89badeba7d3c
task_key
default--test--11824
task_revision_id
1
config / split
default / test

Official source

initial import