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MMLU-Pro / 11749 / A mixture of 4lbmof CO_2 and 3lbmof N_2 is stored in a tank with a volume of 5…

Problem

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

question

A mixture of 4lbmof CO_2 and 3lbmof N_2 is stored in a tank with a volume of 5 ft^3. The temperature of the mixture is maintained at 80°F. Evaluate (a) the total pressure of the mixture, (b) the mole fraction of both the gases, (c) the molecular weight of the mixture, and (d) the apparent specific gas constant of the mixture.

category

engineering

options

  1. P(total) = 215psia, x(CO_2) = 0.46, x(N_2) = 0.54, M(mixture) = 33lbm/1b - mole, R = 42.5 (ft - lb) / (lbm-°R)
  2. P(total) = 245psia, x(CO_2) = 0.44, x(N_2) = 0.56, M(mixture) = 39lbm/1b - mole, R = 47 (ft - lb) / (lbm-°R)
  3. P(total) = 230psia, x(CO_2) = 0.45, x(N_2) = 0.55, M(mixture) = 36lbm/1b - mole, R = 44 (ft - lb) / (lbm-°R)
  4. P(total) = 240psia, x(CO_2) = 0.5, x(N_2) = 0.5, M(mixture) = 38lbm/1b - mole, R = 46 (ft - lb) / (lbm-°R)
  5. P(total) = 200psia, x(CO_2) = 0.5, x(N_2) = 0.5, M(mixture) = 30lbm/1b - mole, R = 40 (ft - lb) / (lbm-°R)
  6. P(total) = 235psia, x(CO_2) = 0.47, x(N_2) = 0.53, M(mixture) = 37lbm/1b - mole, R = 44.5 (ft - lb) / (lbm-°R)
  7. P(total) = 210psia, x(CO_2) = 0.48, x(N_2) = 0.52, M(mixture) = 32lbm/1b - mole, R = 41 (ft - lb) / (lbm-°R)
  8. P(total) = 229.49psia, x(CO_2) = 0.459, x(N_2) = 0.541, M(mixture) = 35.35lbm/1b - mole, R = 43.7 (ft - lb) / (lbm-°R)
  9. P(total) = 220psia, x(CO_2) = 0.42, x(N_2) = 0.58, M(mixture) = 34lbm/1b - mole, R = 42 (ft - lb) / (lbm-°R)
  10. P(total) = 250psia, x(CO_2) = 0.4, x(N_2) = 0.6, M(mixture) = 40lbm/1b - mole, R = 45 (ft - lb) / (lbm-°R)

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11749
task_id
01dc99f5-1a50-5c1a-884c-f6ed9105a2ad
task_key
default--test--11749
task_revision_id
1
config / split
default / test

Official source

initial import