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MMLU-Pro / 11372 / Iron reacts with oxygen at high temperatures (T > 910°C) withthe following…

Problem

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question

Iron reacts with oxygen at high temperatures (T > 910°C) withthe following reaction: Fe(\gamma) + (1/2)O_2(g) \rightleftharpoonsFeO(s) Calculate the entropy of this reaction at 1 atm. pressure and 1,200°C.Use the following data: Data (A) reaction @ 25°C \leq T < 760°C: Fe(\alpha)_1 + (1/2)O_2(g) =FeO(s) (B) reaction @ T = 760°C: Fe(\alpha)_1 = Fe(\alpha)_2 (The subscripts 1 and 2 refer to the form of solid metal that is being dealt with. The (\alpha) and (\gamma) also refer to the form of the solid lattice of the metal ). (C) reaction @ 760°C \leq T \leq 910°C: Fe(\alpha)_2 + (1/2)O_2(g) =FeO(s) (D) reaction @ T = 910°C: Fe(\alpha)_2 = Fe(\gamma) (E) reaction @ 910°C \leq T: Fe(\gamma) + (1/2)O_2(g) =FeO(s) Standard entropies: S^0 cal deg^-1 mole^-1 Fe(\alpha)_1 6.49 O_2(g) 49.02 FeO (s) 14.05 Enthalpies and Heat capacities: For reaction (A):\DeltaC_p= 3.9 - 4.42 × 10^-3T - 0.47 × 10^-5T^-2 (validfor temperature range 25°C < T \leq 760°C) For reaction (B):\DeltaH = + 660 cal/mole For reaction (C): \DeltaC_p= - 0.92 + 1.50 × 10^-3T - 0.47 × 10^5T^-2 (validfor temperature range 760°C \leq T \leq 910°C) For reaction (D):\DeltaH = + 220 cal/mole For reaction (E):\DeltaC_p= 6.24 - 3.16 × 10^-3T - 0.47 × 10^5T^-2 (validfor temperature range 910°C \leq T < 1,378°C)

category

engineering

options

  1. - 16.14 cal/deg
  2. - 17.05 cal/deg
  3. - 16.33 cal/deg
  4. - 14.75 cal/deg
  5. - 15.30 cal/deg
  6. - 16.75 cal/deg
  7. - 15.88 cal/deg
  8. - 15.60 cal/deg
  9. - 18.20 cal/deg
  10. - 15.95 cal/deg

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11372
task_id
67220247-2e78-5174-b6f2-b6ce9a7481ee
task_key
default--test--11372
task_revision_id
1
config / split
default / test

Official source

initial import