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MMLU-Pro / 11974 / A certainsteel containing 0.7 weight-percent carbon is in equilibriumwith a…

Problem

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question

A certainsteel containing 0.7 weight-percent carbon is in equilibriumwith a methane-hydrogen gas mixture containing 99 percent hydrogen and 1 percent methane by volume at 1,173°K and 1 atm.Findthe activity of carbon in the steel andthe equilibrium volume percentages of a carbon monoxide-carbondioxide mixture at equilibrium with the steelat the same conditions. Use the following data to solve theproblem and assume all gases are ideal. Data For the reaction C(s, graphite)+2H_2(_g) \rightleftharpoons CH_4(g) \DeltaG^0 = - 21,600 + 26.2T cal For the reaction CO_2(_g) + C(s, graphite)\rightleftharpoons 2CO_(g_) \DeltaG^0 = 40,800 - 41.7T cal

category

engineering

options

  1. The activity of the carbon in the steel is 0.47. The gas contains 90.6% CO and 9.4% CO2 (by volume).
  2. The activity of the carbon in the steel is 0.65. The gas contains 88.6% CO and 11.4% CO2 (by volume).
  3. The activity of the carbon in the steel is 0.48. The gas contains 93.6% CO and 6.4% CO2 (by volume).
  4. The activity of the carbon in the steel is 0.60. The gas contains 96.6% CO and 3.4% CO2 (by volume).
  5. The activity of the carbon in the steel is 0.51. The gas contains 94.6% CO and 5.4% CO2 (by volume).
  6. The activity of the carbon in the steel is 0.75. The gas contains 85.6% CO and 14.4% CO2 (by volume).
  7. The activity of the carbon in the steel is 0.55. The gas contains 92.6% CO and 7.4% CO2 (by volume).
  8. The activity of the carbon in the steel is 0.58. The gas contains 89.6% CO and 10.4% CO2 (by volume).
  9. The activity of the carbon in the steel is 0.68. The gas contains 91.6% CO and 8.4% CO2 (by volume).
  10. The activity of the carbon in the steel is 0.42. The gas contains 97.6% CO and 2.4% CO2 (by volume).

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11974
task_id
ecb2eaa3-6a32-590c-b639-72f5d0d05f7d
task_key
default--test--11974
task_revision_id
1
config / split
default / test

Official source

initial import