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Hard Questions
Thermodynamics
Physics
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A thermally insulated rigid container contains an ideal gas. It is heated through a resistance coil of 100
$Ω$
by passing a current of 1 A for five minutes, then change in internal energy of the gas is
A
0 KJ
B
30 KJ
C
10 KJ
D
20 KJ
Hard
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The speed of sound in hydrogen at STP is V. The Speed of sound in a mixture containing 3 parts of hydrogen and 2 parts of oxygen by volume at STP will be :
A
$2V $
B
$5 V $
C
$7 V$
D
$7 V $
Hard
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Two samples
$A$
and
$B$
of a gas initially of same pressure and temperature are compressed from a volume
$V$
to a volume
$2V $
such that
$A$
is compressed isothermally while
$B$
is compressed adiabatically. The final
A
pressure of
$A$
is greater than that of
$B$
B
pressure of
$A$
is equal to that of
$B$
C
pressure of
$A$
is less than that of
$B$
D
pressure of
$A$
is twice the pressure of
$B$
Hard
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>
A monatomic gas is suddenly compressed to 1/8th of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is (
$γ=$
5/3)
A
32
B
16
C
2
D
64
Hard
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio
$C_{v}C_{p} $
for the gas is:
A
$34 $
B
$2$
C
$35 $
D
$23 $
Hard
JEE Mains
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An ideal gas at
$27_{o}C$
is compressed adiabatically to
$278 $
of its initial value. If
$γ=35 $
, find the rise in temperature.
A
$275_{o}C$
B
$375_{o}C$
C
$400_{o}C$
D
$300_{o}C$
Hard
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Assertion
When a gas is compressed adiabatically it becomes more elastic.
Reason
An increase of pressure makes the medium more elastic.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C
Assertion is correct but Reason is incorrect
D
Both Assertion and Reason are incorrect
Hard
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A diatomic ideal gas is compressed adiabatically in order to increase the pressure by
$3.5$
%. The percentage increment in temperature of the gas is approximately
A
$1$
B
$1.4$
C
$2$
D
$2.8$
Hard
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A diatomic ideal gas is compressed adiabatically to
$321 $
of its initial volume. If the initial temperature of the gas is
$T_{i}$
(in Kelvin) and the final temperature is
$aT_{i}$
, the value of a is
A
4
B
5
C
2
D
3
Hard
JEE Advanced
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List 1 Contains a list of processes involving expansion of an ideal gas. Match this with List 2 describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the
$4×4$
matrix given in the ORS.
List 1
An insulated container has two chambers separated by a valve. Chamber I contains n ideal gas and the Chamber II has vacuum. The valve is opened.
An ideal monoatomic gas expands to twice its original volume such that its pressure
$P∝V_{2}1 ,$
where V is the volume of the gas
An ideal monoatomic gas expands to twice its original volume such that its pressure
$P∝V_{4/3}1 ,$
where V is its volume
An ideal monoatomic gas expands such that its pressure P and volume V follows the behaviour shown in the graph
List 2
The temperature of the gas decreases
The temperature of the gas increases or remains constant
The gas loses heat
The gas gains heat
Hard
JEE Advanced
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