Problem 3. Acetylene is produced from methane in the reaction C2H2 (g) 3H2 (g) 2CH4 (g) An undesired side reaction is the decomposition of acetylene: 2C(s) + H2(g) C2H2(g) Methane is fed to the reactor at 1500°C at a rate of 10 mol/s. Heat is transferred to the reactor at a rate of 975 kW. The product temperature is 1500°C and the fractional conversion of methane is 0.600. A flowchart of the process and an enthalpy table are shown below 975 kW Product at 1500 °C Feed at 1500°C REACTOR mol CH/s) i(mol CH/s) ig(mol H/s) ig(mol C/s) 10.0 mol CH/s References: C(s), H2(g), at 25°C, 1 atm Hin (kJ/mol Нou (kJ/mol йin (mol/s nout (mol/s) Substance й CH4 10.0 41.65 На |СНа йz Нз На йз На C a) Using the heat capacities and enthalpies given below, determine the product component flow rates and the yield of acetylene (mol C2H2 produced/mol CH4 consumed) Hints: . Consider all available equations, and ii. Atomic balances are more than a midterm gimmick Cp (methane) 0.079 kJ/mol-C Cp (acetylene) = 0.052 kJ/mol-°C Cp (hydrogen) 0.031 kJ/molC Cp (carbon, solid) 0.022 kJ/mol°C kJ AH (methane) = -74.8- mol kJ AH, (acetylene) = 226.75- mol b) The reaction efficiency may be defined as the ratio (actual acetylene produced/acetylene produced with no side reaction). What is the efficiency of this reaction?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem 3.
Acetylene is produced from methane in the reaction
C2H2 (g) 3H2 (g)
2CH4 (g)
An undesired side reaction is the decomposition of acetylene:
2C(s) + H2(g)
C2H2(g)
Methane is fed to the reactor at 1500°C at a rate of 10 mol/s. Heat is transferred to the reactor
at a rate of 975 kW. The product temperature is 1500°C and the fractional conversion of methane
is 0.600. A flowchart of the process and an enthalpy table are shown below
975 kW
Product at 1500 °C
Feed at 1500°C
REACTOR mol CH/s)
i(mol CH/s)
ig(mol H/s)
ig(mol C/s)
10.0 mol CH/s
References: C(s), H2(g), at 25°C, 1 atm
Hin
(kJ/mol
Нou
(kJ/mol
йin
(mol/s
nout
(mol/s)
Substance
й
CH4
10.0
41.65
На
|СНа
йz
Нз
На
йз
На
C
a) Using the heat capacities and enthalpies given below, determine the product component
flow rates and the yield of acetylene (mol C2H2 produced/mol CH4 consumed)
Hints: . Consider all available equations, and
ii. Atomic balances are more than a midterm gimmick
Cp (methane) 0.079 kJ/mol-C
Cp (acetylene) = 0.052 kJ/mol-°C
Cp (hydrogen) 0.031 kJ/molC
Cp (carbon, solid) 0.022 kJ/mol°C
kJ
AH (methane) = -74.8-
mol
kJ
AH, (acetylene) = 226.75-
mol
b) The reaction efficiency may be defined as the ratio (actual acetylene produced/acetylene
produced with no side reaction). What is the efficiency of this reaction?
Transcribed Image Text:Problem 3. Acetylene is produced from methane in the reaction C2H2 (g) 3H2 (g) 2CH4 (g) An undesired side reaction is the decomposition of acetylene: 2C(s) + H2(g) C2H2(g) Methane is fed to the reactor at 1500°C at a rate of 10 mol/s. Heat is transferred to the reactor at a rate of 975 kW. The product temperature is 1500°C and the fractional conversion of methane is 0.600. A flowchart of the process and an enthalpy table are shown below 975 kW Product at 1500 °C Feed at 1500°C REACTOR mol CH/s) i(mol CH/s) ig(mol H/s) ig(mol C/s) 10.0 mol CH/s References: C(s), H2(g), at 25°C, 1 atm Hin (kJ/mol Нou (kJ/mol йin (mol/s nout (mol/s) Substance й CH4 10.0 41.65 На |СНа йz Нз На йз На C a) Using the heat capacities and enthalpies given below, determine the product component flow rates and the yield of acetylene (mol C2H2 produced/mol CH4 consumed) Hints: . Consider all available equations, and ii. Atomic balances are more than a midterm gimmick Cp (methane) 0.079 kJ/mol-C Cp (acetylene) = 0.052 kJ/mol-°C Cp (hydrogen) 0.031 kJ/molC Cp (carbon, solid) 0.022 kJ/mol°C kJ AH (methane) = -74.8- mol kJ AH, (acetylene) = 226.75- mol b) The reaction efficiency may be defined as the ratio (actual acetylene produced/acetylene produced with no side reaction). What is the efficiency of this reaction?
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