The methane (CH4) gas at 25°C is fed into a furnace with 100% excess air at 100°C. Q 1.0 mol CH4(g), 25°C 4.0 mol O₂(g) 15.04 mol N₂(g) 100°C (a) (b) (c) Furnace 1.0 mol CO2(g) 2.0 mol H₂O(v) 2.0 mol O₂(g) 15.04 mol N₂(g) 1000°C Taking a basis of 1 mole of methane gas feed and assuming complete combustion use the values of heat of formation to calculate the value of heat of reaction 1000°C in kJ/mol. CH4(g) +202(g) → CO2(g) + 2H200 2H₂0) Calculate the Higher Heating Value (HHV) and Lower Heating Value (LHV) of pur methane in kJ/mol. Calculate again the HHV and LHV of a methane mixture with 4% by volume of norm combustible nitrogen as impurity in kJ/kg.

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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Chapter1: Introduction
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The methane (CH4) gas at 25°C is fed into a furnace with 100% excess air at 100°C.
Q
1.0 mol CH4(g), 25°C
4.0 mol O₂(g)
15.04 mol N₂(g)
100°C
(a)
(b)
(c)
Furnace
1.0 mol CO2(g)
2.0 mol H₂O(v)
Taking a basis of 1 mole of methane gas feed and assuming complete combustion,
use the values of heat of formation to calculate the value of heat of reaction at
1000°C in kJ/mol.
2.0 mol O2(g)
15.04 mol N₂(g)
1000°C
CH4(g) +202(g) → CO2(g) + 2H20(V)
O
Calculate the Higher Heating Value (HHV) and Lower Heating Value (LHV) of pure
methane in kJ/mol.
Calculate again the HHV and LHV of a methane mixture with 4% by volume of non-
combustible nitrogen as impurity in kJ/kg.
For H₂O, AR(v)=-241.83 (kJ/mol)
AH, 40.656 kJ/mol at 100°C
Cp (v) 33.46x10-3+0.6880x10
Cp (1)-75.4x10-3 (kJ/mol-°C)
Physical property data:
For CH4(g), AR=-74.85 (kJ/mol)
Cp 34.31x10 3+5.469x10-5T+0.3661x10 T2-11.0x10-12T3 (kJ/mol-°C) where T is in °C
For CO₂(g), AĤ=-393.5 (kJ/mol)
Cp 36.11x10 3+4.233x10-5T-2.887x10-8T2+7.464x10-12T3 (kJ/mol-°C) where T is in °C
5T+0.7604x10-T²-3.593x10-12T3 (kJ/mol-°C) where T is in °C
Module code: CAPE205001
For O2(g),
Co 29.10x10-3+1.158x10-5T-0.6076x10 T2+1.311x10-12T3 (kJ/mol-°C) where T is in °C
For N₂(g),
Cp 29.00×10-3+0.2199x10-5T+0.5723x10 8T2-2.871x10-12T3 (kJ/mol-°C) where T is in °C
Atomic weights of H, C, N, and O are respectively, 1, 12, 14, and 16.
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Transcribed Image Text:3 You should attempt three que The methane (CH4) gas at 25°C is fed into a furnace with 100% excess air at 100°C. Q 1.0 mol CH4(g), 25°C 4.0 mol O₂(g) 15.04 mol N₂(g) 100°C (a) (b) (c) Furnace 1.0 mol CO2(g) 2.0 mol H₂O(v) Taking a basis of 1 mole of methane gas feed and assuming complete combustion, use the values of heat of formation to calculate the value of heat of reaction at 1000°C in kJ/mol. 2.0 mol O2(g) 15.04 mol N₂(g) 1000°C CH4(g) +202(g) → CO2(g) + 2H20(V) O Calculate the Higher Heating Value (HHV) and Lower Heating Value (LHV) of pure methane in kJ/mol. Calculate again the HHV and LHV of a methane mixture with 4% by volume of non- combustible nitrogen as impurity in kJ/kg. For H₂O, AR(v)=-241.83 (kJ/mol) AH, 40.656 kJ/mol at 100°C Cp (v) 33.46x10-3+0.6880x10 Cp (1)-75.4x10-3 (kJ/mol-°C) Physical property data: For CH4(g), AR=-74.85 (kJ/mol) Cp 34.31x10 3+5.469x10-5T+0.3661x10 T2-11.0x10-12T3 (kJ/mol-°C) where T is in °C For CO₂(g), AĤ=-393.5 (kJ/mol) Cp 36.11x10 3+4.233x10-5T-2.887x10-8T2+7.464x10-12T3 (kJ/mol-°C) where T is in °C 5T+0.7604x10-T²-3.593x10-12T3 (kJ/mol-°C) where T is in °C Module code: CAPE205001 For O2(g), Co 29.10x10-3+1.158x10-5T-0.6076x10 T2+1.311x10-12T3 (kJ/mol-°C) where T is in °C For N₂(g), Cp 29.00×10-3+0.2199x10-5T+0.5723x10 8T2-2.871x10-12T3 (kJ/mol-°C) where T is in °C Atomic weights of H, C, N, and O are respectively, 1, 12, 14, and 16. Page 4 of 5 Turn the page over compound in plastics industo Direct
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