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MMLU-Pro / 11976 / A furnace operates with a gas inlet temperature of 650°C andan outlet…

Problem

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question

A furnace operates with a gas inlet temperature of 650°C andan outlet temperature of 1,100°C. The inlet gas is composedof 10 percent CO, 20 percent CO_2 and 70 percent N_2 by volume.The combustion occurs with astoichiometric amountof air. Using the following data, determine the maximumflame temperature and the heat supplied to the furnacein Btu/ft^3 of exhaust gas. Data Standard heats of formation CO;\DeltaH_f=- 26,400 cal/mole CO_2;\DeltaH_f=- 94,050 cal/mole Heat capacities (cal deg^-1mole^-1) CO;C_p = 6.79 + 0.98 × 10^-3T - 0.11 × 10^5T^-2 O_2;C_p = 7.16 + 1.00 × 10^-3T - 0.40 × 10^5T^-2 CO_2;C_p = 10.55 + 2.16 × 10^-3T - 2.04 × 10^5T^-2 N_2;C_p = 6.66 + 1.02 × 10^-3T Combustion reaction 2CO_(_g)_ + O_2(g) \rightleftharpoons 2CO_2(g)

category

engineering

options

  1. Maximum flame temperature is 1,750°C, Heat supplied to the furnace is 4.5 Btu/ft^3 exhaust gas
  2. Maximum flame temperature is 1,601°C, Heat supplied to the furnace is 4.85 Btu/ft^3 exhaust gas
  3. Maximum flame temperature is 1,650°C, Heat supplied to the furnace is 5.2 Btu/ft^3 exhaust gas
  4. Maximum flame temperature is 1,500°C, Heat supplied to the furnace is 5.5 Btu/ft^3 exhaust gas
  5. Maximum flame temperature is 1,550°C, Heat supplied to the furnace is 4.2 Btu/ft^3 exhaust gas
  6. Maximum flame temperature is 1,800°C, Heat supplied to the furnace is 3.9 Btu/ft^3 exhaust gas
  7. Maximum flame temperature is 1,450°C, Heat supplied to the furnace is 5.8 Btu/ft^3 exhaust gas
  8. Maximum flame temperature is 1,800°C, Heat supplied to the furnace is 5.0 Btu/ft^3 exhaust gas
  9. Maximum flame temperature is 1,701°C, Heat supplied to the furnace is 4.7 Btu/ft^3 exhaust gas
  10. Maximum flame temperature is 1,700°C, Heat supplied to the furnace is 4.0 Btu/ft^3 exhaust gas

src

stemez-Thermodynamics

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Source and history

upstream_id / Original problem ID
11976
task_id
9a46364b-6012-5492-a623-36976dc94bb3
task_key
default--test--11976
task_revision_id
1
config / split
default / test

Official source

initial import