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MMLU-Pro / 11827 / The pressure and Mach number of helium flowing through a channelat a certain…

Problem

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

question

The pressure and Mach number of helium flowing through a channelat a certain point are found to be P = 30psiaand M = 1.5. At a point further downstream the pressure is 15psia.Assuming isentropic flow through the channel, determinethe Mach number at the second point. Assume \gamma = 1.67. One-Dimensional Isentropic Compressible-Flow Functions For an ideal gas with constant specific heat and molecular weight, \gamma = 1.67 M (A/A\textasteriskcentered) (P/P_0) M (A/A\textasteriskcentered) (P/P_0) 0 \infty 1.0000 1.75 1.312 0.1721 0.05 11.265 0.9979 1.80 1.351 0.1601 0.10 5.661 0.9917 1.85 1.392 0.1490 0.15 3.805 0.9815 1.90 1.436 0.1386 0.20 2.887 0.9674 1.95 1.482 0.1290 0.25 2.344 0.9497 2.00 1.530 0.1201 0.30 1.989 0.9286 2.05 1.580 0.1119 0.35 1.741 0.9046 2.10 1.632 0.1042 0.40 1.560 0.8780 2.15 1.687 0.09712 0.45 1.424 0.8491 2.20 1.744 0.09053 0.50 1.320 0.8184 2.25 1.803 0.08442 0.55 1.239 0.7862 2.30 1.865 0.07875 0.60 1.176 0.7529 2.35 1.929 0.07349 0.65 1.126 0.7190 2.40 1.995 0.06862 0.70 1.0874 0.6847 2.45 2.064 0.06410 0.75 1.0576 0.6503 2.50 2.135 0.05990 0.80 1.0351 0.6162 2.55 2.209 0.05601 0.85 1.0189 0.5826 2.60 2.285 0.05239 0.90 1.0080 0.5497 2.65 2.364 0.04903 0.95 1.0019 0.5177 2.70 2.445 0.04591 1.00 1.0000 0.4867 2.75 2.529 0.04301 1.05 1.0018 0.4568 2.80 2.616 0.04032 1.10 1.0071 0.4282 2.85 2.705 0.03781 1.15 1.0154 0.4009 2.90 2.797 0.03547 1.20 1.0266 0.3749 2.95 2.892 0.03330 1.25 1.0406 0.3502 3.0 2.990 0.03128 1.30 1.0573 0.3269 3.5 4.134 0.01720 1.35 1.0765 0.3049 4.0 5.608 0.009939 1.40 1.0981 0.2842 4.5 7.456 0.006007 1.45 1.122 0.2647 5.0 9.721 0.003778 1.50 1.148 0.2465' 6.0 15.68 165(10)^-5 1.55 1.176 0.2295 7.0 23.85 807(10)^-6 1.60 1.207 0.2136 8.0 34.58 429(10)^-6 1.65 1.240 0.1988 9.0 48.24 244(10)^-6 1.70 1.275 0.1850 10.0 65.18 147(10)^-6 \infty \infty 0

category

engineering

options

  1. 2.80
  2. 1.65
  3. 0.75
  4. 1.98
  5. 2.05
  6. 2.5
  7. 1.25
  8. 0.50
  9. 0.124
  10. 1.5

src

stemez-FluidMechanics

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Source and history

upstream_id / Original problem ID
11827
task_id
3a31b915-7ab2-530e-bdab-c467b889b42d
task_key
default--test--11827
task_revision_id
1
config / split
default / test

Official source

initial import