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JEE Questions for Physics Kinetic Theory Of Gases Quiz 13 - MCQExams.com
JEE
Physics
Kinetic Theory Of Gases
Quiz 13
The volume of a gas at pressure 21 × 10
4
N/m
2
andtemperature 27°C is 83 litres. If R = 8.3 J/mol K, then the quantity of gas in g-mole will be
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0%
15
0%
42
0%
7
0%
14
The pressure and temperature of an ideal gas in a closed vessel are 720 kPa and 40°C respectively. If 1/4thof the gas is released from the vessel and the temperature of the remaining gas is raised to 353°C, thefinal pressure of the gas is
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0%
1440 kPa
0%
1080 kPa
0%
720 kPa
0%
540 kPa
An air bubble doubles its radius on raising from the bottom of water reservoir to be the surface of water in it. If the atmospheric pressure is equal to 10 m of water, the height of water in the reservoir is
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0%
10 m
0%
20 m
0%
70 m
0%
80 m
It the r.m.s velocity of a gas at a given temperature (Kelvin scale) is 300 m/s. What will be the r.m.s velocity of a gas having twice the molecular weight and half the temperature on Kelvin scale =
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0%
300 m/s
0%
600 m/s
0%
75 m/s
0%
150 m/s
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0%
11 g
0%
22 g
0%
33 g
0%
44 g
A cylinder of fixed capacity 44.8 litre contains a monoatomic gas at standard temperature and pressure. The amount of heat required to cylinder by 10°C will be. (R = universal gas constant)
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0%
R
0%
10R
0%
20R
0%
30R
A pressure cooker contains air at 1 atm and 30°C. If the safety value of the cooler blows when the inside pressure ≥ 3 atm, then the maximum temperature of the air, inside the cooker can be
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0%
90°C
0%
636°C
0%
909°C
0%
363°C
One mole of an ideal monoatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant temperature. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required is
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0%
238 J
0%
126 J
0%
210 J
0%
350 J
From the following V–T diagram we can conclude
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0%
P1 = P2
0%
P1>P2
0%
P1< P2
0%
None of these
Certain amount of an ideal gas is contained in a dosed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is (γ =C
P
/C
V
)
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0%
0%
2)
0%
0%
Air is filled at 60°C in a vessel of open mouth. The vesselis heated to a temperature T so that 1/4th part of air escapes. Assuming the volume of the vessel remaining constant, the value of T is
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0%
80°C
0%
444°C
0%
333°C
0%
171°C
Mean free path of gas molecules of constant temperature is inversely proportional to
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0%
P
0%
V
0%
m
0%
n (number density)
Volume, pressure and temperature of an ideal gas are V, P and T respectively. If mass of molecule is m, then its density is [ k
B
= Boltzmann`s constant]
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0%
0%
2)
0%
0%
What is the mass of 2 liters of nitrogen at 22.4 atmospheric pressure and 273 K. (R = 8.314 J mol k
–1
)
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0%
14 × 22.4 g
0%
56 g
0%
28 g
0%
None of these
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be
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0%
0%
2)
0%
0%
A gas at 1 atmosphere and having volume 100 ml is mixed with another gas of equal moles at 0.5 atm and having volume 50 ml in flask of one liter, what is the final pressure?
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0%
0.125 atm
0%
0.75 atm
0%
1 atm
0%
0.5 atm
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0%
mass of gas
0%
number of moles of gas
0%
number of molecules in gas
0%
K. E. of gas
Equation of gas in terms of pressure (P), absolute temperature (T) and density (ρ) is
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0%
0%
2)
0%
0%
0
2
gas is filled in a vessel. If pressure is doubled, temperature becomes four times, how many times its density will become.
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0%
4
0%
1/4
0%
2
0%
1/2
If pressure of a gas contained in a closed vessel is increased by 0.4% when heated by 1
o
C the initial temperature must be.
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0%
250o C
0%
25o C
0%
250 K
0%
2500 K
To decrease the volume of a gas by 5% at constant temperature the pressure should be
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0%
Increased by 5.26%
0%
Decreased by 5.26%
0%
Decreased by 11%
0%
Increased by 11%
A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then the percentage increase in its pressurse will be
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0%
0.4%
0%
0.1 %
0%
0.8%
0%
0.2%
At O
o
C the density of a fixed mass of a gas divided by pressure is x. At 100
o
C, the ratio will be
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0%
x
0%
2)
0%
0%
The volume of a gas at 20
o
C is 200 ml. If the temperature is reduced to –20
o
C at constant pressure, its volume will be.
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0%
172.6 ml
0%
17.26 ml
0%
19.27 ml
0%
192.7 ml
A partition divides a container, having insulated walls, into two compartments, I and II. The same gas is filled the compartments. The ratio of number of molecules in compartments I and II is.
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0%
6:1
0%
1:6
0%
4:1
0%
1:4
A cylinder contains 10 kg of gas at pressure of 10
7
N/m
2
. The quantity of gas taken out of the cylinder, if final pressure is 2.5 × 10
6
N/m
–2
, will be ______ (temperature of gas is constant)
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0%
5.2 kg
0%
3.7 kg
0%
7.5 kg
0%
1 kg
The pressure and temperature of an ideal gas in a closed vessel are 720 kPa and 40
o
C respectively. If 1/4 th of the gas is released from the vessel and the temperature of the remaning gas is raised to 353
o
C, final pressure of the gas is
Report Question
0%
1440 kPa
0%
540 kPa
0%
1080 kPa
0%
720 kPa
Suppose ideal gas equation follows VP
3
= constant, Initial temperature and volume of the gas are T and V respectively. If gas expand to 27 V, then temperature will become
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0%
9 T
0%
27 T
0%
T/9
0%
T
Air is filled in a bottle at atmospheric pressure and it is corked at 35
o
C, If the cork can come out at 3 atmospheric pressure then upto what temperature should the bottle be heated in order to remove the cork.
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0%
325.5o C
0%
651o C
0%
851o C
0%
None of these
At constant temperature on incerasing the pressure of a gas 5% its volume will decrease by
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0%
5%
0%
5.26%
0%
4.76%
0%
4.26%
Hydrogen gas is filled in a ballon at 20
o
C. If temperature is made 40
o
C, pressure remaining the same what fraction of haydrogen will come out
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0%
0.75
0%
0.07
0%
0.25
0%
0.5
When the pressure on 1200 ml of a gas is increased from 70 cm to 120 cm of mercury at constant temperature, the new volume of the gas will be
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0%
400 ml
0%
600 ml
0%
700 ml
0%
500 ml
A gas at 27
o
C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure if the volume becomes two times its initial volume, then the final temperature becomes
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0%
273o C
0%
–173o C
0%
173o C
0%
100o C
The pressure and temperature of two different gases P and T having the volumes V for each. They are mixed keeping the same volume and temperature, the pressure of the mixture will be,
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0%
P
0%
P/2
0%
4P
0%
2P
Air is filled at 60
o
C in a vessel of open mouth. The vessel is heated to a temperature T so that 1/4 th part of air escapes. Assuming the volume of the vessel remaining constant the value of T is.
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0%
333o C
0%
171o C
0%
444o C
0%
80o C
A gas is filled in a cylinder, its temperature is incresecd by 20% on kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out
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0%
15%
0%
25%
0%
40%
0%
30%
The relation between the gas pressure P and average kinetic energy per unit volume E is
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0%
0%
2)
0%
0%
Gas at a pressure P
o
is contained in a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure will be equal to
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0%
2 Po
0%
4 Po
0%
Po/2
0%
Po
The average transitional energy and rms speed of molecules in sample of oxygen gas at 300 K are 6.21 × 10
–21
J and 484 m s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behavior)
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0%
0%
2)
0%
0%
At a given temperature the rms velocity of molecules of the gas is
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0%
Proportional to molecular weight
0%
Inversely proportional to molecular weight
0%
Inversely proportional to square root of molecular weight
0%
Proportional to square of molecular weight
The speeds of 5 molecules of a gas (in arbitrary units) are as follws: 2, 3, 4, 5, 6, The root mean squre speed for these molecules is
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0%
4.24
0%
2.91
0%
4.0
0%
3.52
To what temperature should the hydrogen at room temperature (27
o
C) be heated at constant pressuse so that the rms velocity of its molecule becomes double of its previous value
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0%
927o C
0%
600o C
0%
108o C
0%
1200o C
The rms speed of gas molecules is given by
Report Question
0%
0%
2)
0%
0%
A sample of gas is at O
o
C. To what temperature it must be raised in order to double the rms speed of molecule.
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0%
270o C
0%
819o C
0%
100o C
0%
1090o C
The molecules of a given mass of a gas have a rms velocity of 200m s at 27
o
C and 1.0 × 10
5
Nm
–2
pressure when the temperature is 127
o
C and pressure is 0.5 × 10
5
Nm
–2
, the rms velocity in m/s will be
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0%
0%
2)
0%
0%
None of these
If the molecular weight of two gases are M
1
and M
2
, then at a given temperature the ratio of root mean square velocity
v
1
and
v
2
will be
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0%
0%
2)
0%
0%
The root mean square velocity of the molecules in a sample of helium is 5/7 th that of the molecules in a sample of hydrogen. If the temperature of hydorgen sample is 0
o
C, then the temperature of the helium sample is about
Report Question
0%
273o C
0%
0o C
0%
O K
0%
100o C
At room temperature ( 27
o
C), the rms speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas is
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0%
O2
0%
Cl2
0%
H2
0%
F2
If three molecules have velocities 0.5, 1 and 2 the ratio of rms speed and average speed is (The velocities are in km/s)
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0%
0.134
0%
1.34
0%
1.134
0%
13.4
At what temperature pressure remaining constant will the rms speed of a gas molecules increase by 10% of the rms speed at NTP?
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0%
57.3 K
0%
57.3o C
0%
557.3 K
0%
–57.3o C
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