JEE Questions for Physics Kinetic Theory Of Gases Quiz 1 - MCQExams.com

Kinetic theory of gases was put forward by
  • Einstein
  • Newton
  • Maxwell
  • Raman

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  • 2
  • 4
  • 1
  • 0.5
Which one of the following is not an assumption of kinetic theory of gases?
  • The volume occupied by the molecules of the gas is negligible
  • The force of attraction between the molecules is negligible
  • The collision between the molecules are elastic
  • All molecules have same speed
Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The common pressure of the gas is p and n is the number of moles of gas in container at temperature 20, then

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  • curve A
  • curve B
  • curve C
  • curve D
The volumes of containers A and B, connected by a tube and a closed valve are V and 4 V, respectively. Both the containers A and B have the same ideal gas at pressures (temperatures) 5.0 ×105 Pa(300 K) and 1.0 ×105Pa (400 K), respectively. The valve is opened to allow the pressure to equalise, but the temperature of each container is kept constant at its initial value. Find the common pressure in the containers.
  • 2.5 × 105 Pa
  • 2.0 × 105 Pa
  • 3.0 × 105 Pa
  • 1.5 × 105 Pa
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressure, when enclosed in a vessel kept at a constant temperature is 4 : 3. The ratio of their densities is
  • 1 : 4
  • 1 : 2
  • 6 : 9
  • 8 : 9
A perfect gas at 27°C is heated at constant pressure so as to double its volume. The increase in temperature of the gas will be
  • 300°C
  • 54°C
  • 327°C
  • 600°C
A real gas behaves like an ideal gas, if its
  • pressure and temperature are both high
  • pressure and temperature are both low
  • pressure is high and temperature is low
  • pressure is low and temperature is high
The temperature of a gas contained in a closed vessel of constant volume increases by 1°C when the pressure of the gas is increased by 1%. The initial temperature of the gas is
  • 100 K
  • 273°C
  • 100°C
  • 200 K
1 mol of gas occupies a volume of 200 mL at 100 mm pressure. What is the volume occupied by two moles of gas at 400 mm pressure and at same temperature?
  • 50 mL
  • 100 mL
  • 200 mL
  • 400 mL
Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperature is 22°C. During the day, temperature rises to 42°C and the tube expands by 2%. The pressure of the air in the tube at this temperature, will be approximately
  • 212 kPa
  • 209 kPa
  • 206 kPa
  • 200 kPa
For a real gas (van der waals' gas)
  • Boyle temperature is a/Rb
  • Critical temperature is a/Rb
  • Triple temperature is 2a/Rb
  • Inversion temperature is a/2Rb
1 L of oxygen at a pressure of 1 atm and 2 L of nitrogen at a pressure of 0.5 atm are introduced into a vessel of volume 1 L. If there is no change in temperature, the final pressure of the mixture of gas (in atm) is
  • 1.5
  • 2.5
  • 2
  • 4
What is an ideal gas?
  • One that consists of molecules
  • A gas satisfying the assumptions of kinetic theory
  • A gas having Maxwellian distribution of speed
  • A gas consisting of massless particles
When the temperature of a gas increases by 1°C, its pressure increases 0.4%.what is its initial temperature?
  • 250 K
  • 125 K
  • 195 K
  • 329 K
Two gases A and B having same pressure p, volume V and absolute temperature T are mixed. If the mixture has the volume and temperature as V and T respectively, then the pressure of the mixture is

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    Physics-Kinetic Theory of Gases-75203.png

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Two balloons are filled, one with pure He gas and the other by air, respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is
  • more in the He filled balloon
  • same in both balloons
  • more in air filled balloon
  • in the ratio of 1 : 4
Temperature remaining constant, the pressure of gas is decreased by 20%.
  • increases by 20%
  • decreases 20%
  • increases 25%
  • decreases 25%
The equation of state for 5 g of oxygen at a pressure p and temperature T, when occupying a volume V, will be
  • pV = (5/32)RT
  • pV = 5RT
  • pV = (5/2)RT
  • pV = (5/16)RT
A bubble is at the bottom of the lake of depth h. As the bubble comes to sea level, its radius increases three times. If atmospheric pressure is equal to l metre of water column, then h is equal to
  • 26 l
  • l
  • 25 l
  • 30 l
If m represents the mass of each molecule of a gas and T its absolute temperature, then the root mean square velocity of the gaseous molecule is proportional to
  • mT
  • m1/2T1/2
  • m-1/2T
  • m-1/2T1/2
  • m-1T
The velocity of 4 gas molecules are given by 1 km/s, 3 km/s, 5 km/s and 7 km/s. Calculate the difference between average and rms velocity.
  • 0.338
  • 0.438
  • 0.583
  • 0.683
An ideal gas (γ =1.is expanded adiabatically. How many times has the gas to be expanded to reduce the root mean square velocity of molecules 2.0 times?
  • 4 times
  • 16 times
  • 8 times
  • 2 times
Root mean square speed of the molecules of ideal gas is v. If pressure is increased two times at constant temperature, the rms speed will become

  • Physics-Kinetic Theory of Gases-75214.png
  • v
  • 2v
  • 4v
According to Maxwell's law of distribution of velocities of molecules, the most probable velocity is
  • greater than the mean velocity
  • equal to the mean velocity
  • equal to the root mean square velocity
  • less than the root mean square velocity
To what temperature should the hydrogen at 327°C be cooled at constant pressure, so that the root mean square velocity of its molecules becomes half of its previous value?
  • –123°C
  • 123°C
  • –100°C
  • 0°C
At what temperature rms speed of air molecules is doubled of that at NTP?
  • 819°C
  • 719°C
  • 909°C
  • None of these
Calculate the ratio of rms speeds of oxygen gas molecules to that of hydrogen gas molecules kept at the same temperature.
  • 1 : 4
  • 1 : 8
  • 1 : 2
  • 1 :6
The root mean square velocity of gas molecules at 27 °C is 1365 ms -I . The gas is
  • O2
  • He
  • N2
  • CO2
The ratio of the vapour densities of two gases at a given temperature is 9 : 8. The ratio of the rms velocities of their molecules is
  • 3 : 2√2
  • 2√2 : 3
  • 9 : 8
  • 8 : 9
The gas having average speed four times as that of SO2 (molecular massis
  • He (molecular mass 4)
  • 02 (molecular mass 32)
  • H2 (molecular mass 2)
  • CH4 (molecular mass 16)
Six molecules speeds are 2 units, 5 units, 3 units, 6 units, 3 units and 5 units, respectively. The rms speed is
  • 4 units
  • 1.7 units
  • 4.2 units
  • 5 units
If the rms velocity of a gas is v, then
  • v2T = constant
  • v2/T = constant
  • vT2 = constant
  • v is independent of T

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  • 2)
    Physics-Kinetic Theory of Gases-75227.png

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According to the kinetic theory of gases, the temperature of a gas is a measure of average
  • velocities of its molecules
  • linear momenta of its molecules
  • kinetic energies of its molecules
  • angular momenta of its molecules
Oxygen and hydrogen are at the same temperature T. The ratio of the mean kinetic energy of oxygen molecules to that of the hydrogen molecules will be
  • 16 : 1
  • 1 : 1
  • 4 : 1
  • 1 : 4
At what temperature the kinetic energy of gas molecule is half of the value at 27°C?
  • 13.5°C
  • 150°C
  • 75 K
  • –123°C
The average kinetic energy of a gas molecule is
  • proportional to pressure of gas
  • inversely proportional to volume of gas
  • inversely proportional to absolute temperature of gas
  • directly proportional to absolute temperature of gas
In the absence of intermolecular forces of attraction, the observed pressure p will be
  • p
  • < p
  • > p
  • zero
The gases carbon monoxide (CO) and nitrogen (N2) at the same temperature have kinetic energies E1 and E2 , respectively. Then,
  • E1 = E2
  • E1 > E2
  • E1 < E2
  • E1 and E2 cannot be compared
A closed vessel is maintained at a constant temperature. It is first evacuated and then vapour is injected into it continuously. The pressure of the vapour in the vessel
  • increases continuously
  • first increases and then remains constant
  • first increases and then decreases
  • None of the above
It is seen that in proper ventilation of building, windows must be opened near the bottom and the top of the walls, so as to let pass
  • in hot near the roof and cool air out near the bottom
  • out hot air near the roof
  • in cool air near the bottom and hot air out near the roof
  • in more air
Some gas at 300 K is enclosed in a container. Now, the container is placed on a fast moving train. While the train is in motion, the temperature of the gas
  • rises above 300 K
  • falls below 300 K
  • remains unchanged
  • become unsteady
Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?
  • Increases
  • Decreases
  • No change
  • Cannot be determined
A molecule of a gas has six degrees of freedom. Then, the molar specific heat of the gas at constant volume is

  • Physics-Kinetic Theory of Gases-75236.png
  • R

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  • 3R
  • 5R
Total number of degrees of freedom of a rigid diatomic molecule is
  • 3
  • 6
  • 5
  • 2
  • 7
Which of the given substance A, B and C have more specific heat?
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  • A
  • B
  • C
  • Both (and (2)
  • All are equal
The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant volume is

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    Physics-Kinetic Theory of Gases-75243.png

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One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is
  • (3/R
  • (5/R
  • 2 R
  • 4 R
0:0:1


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