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List of top Chemical Technology Questions on Inorganic chemical industries asked in GATE Chemical Engineering
Methane combusts with air in a furnace as
CH
4
+
2
O
2
→
CO
2
+
2
H
2
O
\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}
CH
4
+
2
O
2
→
CO
2
+
2
H
2
O
. The heat of reaction
Δ
H
r
=
−
880
kJ/mol CH
4
\Delta H_\text{r} = -880 \, \text{kJ/mol CH}_4
Δ
H
r
=
−
880
kJ/mol CH
4
, and is assumed to be constant. The furnace is well-insulated, and no other side reactions occur. All components behave as ideal gases with a constant molar heat capacity
c
p
=
40
J mol
−
1
°C
−
1
c_p = 40 \, \text{J mol}^{-1} \, \text{°C}^{-1}
c
p
=
40
J mol
−
1
°C
−
1
. Air may be considered as 20 mol\%
O
2
\text{O}_2
O
2
and 80 mol\%
N
2
\text{N}_2
N
2
. The air-fuel mixture enters the furnace at
50
°C
50 \, \text{°C}
50
°C
. The methane conversion
X
X
X
varies with the air-to-methane mole ratio,
r
r
r
, as:
X
=
1
−
0.1
e
−
2
(
r
−
r
s
)
,
with
0.9
r
s
≤
r
≤
1.3
r
s
,
X = 1 - 0.1e^{-2(r-r_s)}, \, \text{with} \, 0.9r_s \leq r \leq 1.3r_s,
X
=
1
−
0.1
e
−
2
(
r
−
r
s
)
,
with
0.9
r
s
≤
r
≤
1.3
r
s
,
where
r
s
r_s
r
s
is the stoichiometric air-to-methane mole ratio. For
r
=
1.05
r
s
r = 1.05r_s
r
=
1.05
r
s
, the exit flue gas temperature in
°C
\, \text{°C}
°C
, rounded off to 1 decimal place, is:
GATE CH - 2024
GATE CH
Chemical Technology
Inorganic chemical industries