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GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper
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© examsnet.com
Question : 54
Total: 65
A gas is heated in a duct as it flows over a resistance heater. Consider a
101
k
W
electric heating system. The gas enters the heating section of the duct at
100
k
P
a
and
27
∘
C
with a volume flow rate of
15
m
3
/
s
. If heat is lost from the gas in the duct to the surroundings at a rate of
51
k
W
, the exit temperature of the gas is
(Assume constant pressure, ideal gas, negligible change in kinetic and potential energies and constant specific heat;
C
p
=
1
k
J
/
k
g
K
;
R
=
0.5
k
J
/
k
g
K
)
37
∘
C
53
∘
C
32
∘
C
76
∘
C
Validate
Solution:
From ideal gas equation,
p
V
=
˙
m
R
T
100
×
15
=
˙
m
×
0.5
×
300
⇒
˙
m
=
10
k
g
∕
s
Using SFEE,
˙
m
h
1
+
Q
m
+
Q
out
=
˙
m
h
2
+
W
c
v
⇒
˙
m
h
1
+
101
+
(
−
51
)
=
˙
m
h
2
˙
m
(
h
2
−
h
1
)
=
50
Or,
˙
m
C
p
(
T
2
−
T
1
)
=
50
⇒
10
×
1
(
T
2
−
300
)
=
50
Or,
(
T
2
−
300
)
=
5
⇒
T
2
=
305
K
=
305
−
273
=
32
∘
C
© examsnet.com
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