Question 6. In the following reaction, methane gas and sulfur vapor S(v) are fed at 700°C to a reactor in stoichiometric proportion. CH4 (g) + 4 S (v) → CS2 (g) + 2 H₂S (g) AĤ, (700° C) = ? kJ/mol The product stream of reactor emerges at 800°C, and enters a cooling operation in a heat-exchanger through which the product stream is cooled to 200°C [sulfur as a liquid S()]. In the reaction, the reactor is constantly cooled by water and the heat removal is determined to be -40.8 kJ/mole of feed. (i) If the fractional conversion of CH4 achieved in the reactor is 80%, what is the reaction heat for the above reaction at 700°C [i.e., AĤ, (700°C)]? (ii) What is the total heat (in kJ) that must be removed in the cooling operation for the product stream on the basis of per mole of reactor feed? ≈ Specific heat capacities (simplified): Cp 29.4 J/mol-°C for S(I); 36.4 J/mol-°C for S(v); 71.4 J/mol.°C for CH4(g); 31.8 J/mol-°C for CS₂(g), and 44.8 J/mol-°C for H₂S(g). Normal boiling point of sulfur is 444.6°C and its specific vaporization heat at this temperature is 83.7 kJ/mol.

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
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Question 6. In the following reaction, methane gas and sulfur vapor S(v) are fed at 700°C to a reactor in
stoichiometric proportion.
CH4 (g) + 4 S (v) → CS2 (g) + 2 H₂S (g)
AĤ¸ (700° C) = ? kJ/mol
The product stream of reactor emerges at 800°C, and enters a cooling operation in a heat-exchanger
through which the product stream is cooled to 200°C [sulfur as a liquid S(1)]. In the reaction, the reactor is
constantly cooled by water and the heat removal is determined to be -40.8 kJ/mole of feed. (i) If the
fractional conversion of CH4 achieved in the reactor is 80%, what is the reaction heat for the above
reaction at 700°C [i.e., A¸(700°C)]? (ii) What is the total heat (in kJ) that must be removed in the
cooling operation for the product stream on the basis of per mole of reactor feed?
Specific heat capacities (simplified): Cp ≈ 29.4 J/mol·°C for S(I); 36.4 J/mol·°C for S(v); 71.4 J/mol·°C for
CH4(g); 31.8 J/mol·°C for CS₂(g), and 44.8 J/mol·°C for H₂S(g). Normal boiling point of sulfur is 444.6°C
and its specific vaporization heat at this temperature is 83.7 kJ/mol.
Transcribed Image Text:Question 6. In the following reaction, methane gas and sulfur vapor S(v) are fed at 700°C to a reactor in stoichiometric proportion. CH4 (g) + 4 S (v) → CS2 (g) + 2 H₂S (g) AĤ¸ (700° C) = ? kJ/mol The product stream of reactor emerges at 800°C, and enters a cooling operation in a heat-exchanger through which the product stream is cooled to 200°C [sulfur as a liquid S(1)]. In the reaction, the reactor is constantly cooled by water and the heat removal is determined to be -40.8 kJ/mole of feed. (i) If the fractional conversion of CH4 achieved in the reactor is 80%, what is the reaction heat for the above reaction at 700°C [i.e., A¸(700°C)]? (ii) What is the total heat (in kJ) that must be removed in the cooling operation for the product stream on the basis of per mole of reactor feed? Specific heat capacities (simplified): Cp ≈ 29.4 J/mol·°C for S(I); 36.4 J/mol·°C for S(v); 71.4 J/mol·°C for CH4(g); 31.8 J/mol·°C for CS₂(g), and 44.8 J/mol·°C for H₂S(g). Normal boiling point of sulfur is 444.6°C and its specific vaporization heat at this temperature is 83.7 kJ/mol.
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