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JEE Advanced Model Paper 11 with solutions for online practice
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© examsnet.com
Question : 17
Total: 60
A large vacuum chamber of volume ‘V’ is connected to a narrow cylindrical pipewhich is initially filled with an ideal gas (γ = 1.4) at temperature
T
0
, pressure
P
0
and volume
V
0
( ≪ V ) . The gas is enclosed by a light insulating piston (which isfree to move) and the air outside is at constant pressure
P
0
. Now the gas in the pipeis slowly allowed to leak into the vacuum chamber through a small opening asshown. All the walls are insulated. The final pressure ‘P’ and temperature ‘T’ ofthe gas are given by
P =
P
0
V
0
V
T =
T
0
P =
1.4
P
0
V
0
V
T = 1.4
T
0
Validate
Solution:
W.D by air on gas is
P
0
V
0
= n
C
v
(ΔT)
∴ T = 1.4
T
0
and P =
1.4
P
0
V
0
V
© examsnet.com
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