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KVPY SB SX Exam 2011 Question Paper
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© examsnet.com
Question : 27
Total: 120
Jet aircrafts fly at altitudes above 30,000 ft where the air is very cold at - 40° C and the pressure is 0.28 atm. The cabin is maintained at 1 atm pressure by means of a compressor which exchanges air from outside adiabatically. In order to have a comfortable cabin temperature of 25 C, we will require in addition:
a heater to warm the air injected into the cabin
an air-conditioner to cool the air injected into the cabin
neither a heater nor an air-conditioner; the compressor is sufficient
alternatively heating and cooling in the two halves of the compressor cycle
Validate
Solution:
PV
γ
=
C
P
1
−
γ
=
C
(
0.28
)
1
−
γ
×
(
233
)
γ
=
1
1
−
γ
×
T
γ
γ
=
7
5
(
0.28
)
1
−
7
5
×
(
233
)
7
5
=
1
1
−
7
5
×
T
7
5
T
7
5
=
233
7
5
×
(
0.28
)
–
2
5
T
=
233
(
0.28
)
–
2
7
T
=
233
(
0.28
)
2
∕
7
T is coming more than 298 K or 25ºC
∴ T is more than 25°C
so to cool it an extra ac is required.
© examsnet.com
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