JEE Questions for Physics Kinetic Theory Of Gases Quiz 4 - MCQExams.com

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
At NTP, sample of equal volume of chlorine and oxygen is taken. Now, ratio of no. of molecules is
  • 1 : 1
  • 32 : 27
  • 2 : 1
  • 16 : 14
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 pressure will be
  • 0.4%
  • 0.2%
  • 0.1%
  • 0.8%
A cylinder of 5 litres capacity, filled with air at N.T.P. is connected with another evacuated cylinder of 30 litres of capacity. The resultant air pressure in both the cylinders will be
  • 38.85 cm of Hg
  • 21.85 cm of Hg
  • 10.85 cm of Hg
  • 14.85 cm of Hg
Volume of gas becomes four times, if
  • Temperature becomes four times at constant pressure
  • Temperature becomes one fourth at constant pressure
  • Temperature becomes two times at constant pressure
  • Temperature becomes half at constant pressure
Kinetic theory of gases provide a base for
  • Charle's law
  • Boyle's law
  • Charle's law and Boyle's law
  • None of the above
At constant temperature on increasing the pressure of a gas by 5% its volume decrease by
  • 5%
  • 5.26%
  • 4.26%
  • 4.76%
When the pressure on 1200 ml of gas in increased from 70 cm to 120 cm of mercury at constant temperature, the new volume of the gas will be
  • 700 ml
  • 600 ml
  • 500 ml
  • 400 ml
The gas equation PV/T Constant is true for a constant mass of an ideal gas undergoing
  • Isothermal change
  • Adiabatic change
  • Isobaric change
  • Any type of change
Saturated vapor is compressed to half its volume without any change in temperature, then the pressure will be
  • Doubled
  • Halved
  • The same
  • Zero
125 ml of gas A at 0.60 atmosphere and 150 ml of gas B at 0.80 atmospheric pressure at same temperature is filled in a vessel of 1 litre volume. What will be the total pressure of mixture at the same temperature?
  • 0.140 atmosphere
  • 0.120 atmosphere
  • 0.195 atmosphere
  • 0.212 atmosphere
Two moles of ideal helium gas are in a rubber balloon at 30°C. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35°C. The amount of heat required in raising the temperature is nearly (Take R = 8.31 J/mol K)
  • 62 J
  • 104 J
  • 124 J
  • 208 J
For one gram mol of a gas, the value of R in the equation PV = RT is nearly
  • 2 cal/mole–kelvin
  • 10 cal/mole–kelvin
  • 0.2 cal/mole–kelvin
  • 200 cal/mole–Kelvin
Air is filled in a bottle at atmospheric pressure and it is corked at 35°C. If the cork can come out at 3 atmospheric pressure than upto what temperature should the bottle be heated in order to remove the cork
  • 325.5°C
  • 851°C
  • 651°C
  • None of these
An electron tube was sealed off during manufacture at a pressure of 1.2 × 10–7 mm of mercury at 27°C. Its volume is 100 cm3. The number of molecules that remain in the tube is
  • 2 × 1016
  • 3 × 1015
  • 3.86 × 1011
  • 5 × 1011
2 g of O2 gas is taken at 27°C and pressure 76 cm Hg. Find out volume of gas (in litre)
  • 1.53
  • 2.44
  • 3.08
  • 44.2
A balloon contains 500 m3 of helium at 27°C and 1 atmosphere pressure. The volume of the helium at –3 °C temperature and 0.5 atmosphere pressure will be
  • 500 m3
  • 700 m3
  • 900 m3
  • 1000 m3
Helium gas goes through a cycle ABCDA (consisting of two isochoric and isobaric lines) as shown in figure. Efficiency of this cycle is nearly (Assume the gas to be close to ideal gas)
Physics-Kinetic Theory of Gases-75439.png
  • 15.4%
  • 9.1%
  • 10.5%
  • 12.5%
1 mole of gas occupies a volume of 100 ml at 50 mm pressure. What is the volume occupied by two moles of gas at 100 mm pressure and at same temperature?
  • 50 ml
  • 100 ml
  • 200 ml
  • 500 ml
A flask is filled with 13 g of an ideal gas at 27°C and its temperature is raised to 52°C. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52°C and the pressure remaining the same is
  • 2.5 g
  • 2.0 g
  • 1.5 g
  • 1.0 g
When volume of system is increased two times and temperature is decreased half of its initial temperature, then pressure becomes
  • 2 times
  • 4 times
  • 1/4 times
  • 1/2 times
The gas in vessel is subjected to a pressure of 20 atmosphere at a temperature 27°C. The pressure of the gas in a vessel after on half of the gas is released from the vessel and the temperature of the remainder is raised by 50°C is
  • 8.5 atm
  • 10.8 atm
  • 11.7 atm
  • 17 atm

Physics-Kinetic Theory of Gases-75445.png
  • Number of molecules
  • Atomic number
  • Mass number
  • Number of moles
A gas at 27°C has a volume V and pressure P. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be
  • 1800°C
  • 162°C
  • 1527°C
  • 600°C
The pressure and temperature of two different gases is P and T having the volume V for each. They are mixed keeping the same volume and temperature, the pressure of the mixture be
  • P/2
  • P
  • 2P
  • 4P
The rate of diffusion is
  • Faster in solids than in liquids and gases
  • Faster in liquids than in solids and gases
  • Equal to solids, liquids and gases
  • Faster in gases than in liquids and solids
The value of critical temperature in terms of van der Waal\'s constant a and b is

  • Physics-Kinetic Theory of Gases-75449.png
  • 2)
    Physics-Kinetic Theory of Gases-75450.png

  • Physics-Kinetic Theory of Gases-75451.png

  • Physics-Kinetic Theory of Gases-75452.png
For matter to exist simultaneously in gas and liquid phases
  • The temperature must be 0 K
  • The temperature must be less than 0°C
  • The temperature must be less than the critical temperature
  • The temperature must be less than the reduced temperature
Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T1, T2) volume (V1, V2) and pressure (P1, P2) respectively, If the valve, joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

  • Physics-Kinetic Theory of Gases-75454.png
  • 2)
    Physics-Kinetic Theory of Gases-75455.png

  • Physics-Kinetic Theory of Gases-75456.png

  • Physics-Kinetic Theory of Gases-75457.png
An air bubble of volume 1.0 cm3 rises from the bottom of a lake 40 m deep at a temperature of 12°C. The volume of the bubble when it reaches the surface, which is at a temperature of 35°C, will be
  • 5.4 cm3
  • 4.9 cm3
  • 2.0 cm3
  • 10.0 cm3
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
A cubical box with porous walls containing an equal number of O2 and H2 molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature T. The ratio of vrms of O2 molecules to that of the vrms of H2 molecules, found in the chamber outside the box after a short interval is

  • Physics-Kinetic Theory of Gases-75461.png
  • 2)
    Physics-Kinetic Theory of Gases-75462.png

  • Physics-Kinetic Theory of Gases-75463.png

  • Physics-Kinetic Theory of Gases-75464.png
In thermal equilibrium, the average velocity of gas molecules is
  • Proportional to √T
  • Proportional to T2
  • Proportional to T3
  • Zero
At what temperature is the root mean square velocity of gaseous hydrogen molecules equal to that of oxygen molecules at 47°C
  • 20 K
  • 80 K
  • – 73 K
  • 3 K
For a gas, the r.m.s speed at 800 K is
  • Four times the value of 200 K
  • Half the value at 200 K
  • Twice the value of 200 K
  • Same as at 200 K
What is the velocity of wave in monoatomic gas having pressure 1 kilopascal and density 2.6 kg/m3?
  • 3.6 m/s
  • 8.9 × 103 m/s
  • Zero
  • None of these
At room temperature, the r.m.s. speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas is
  • H2
  • F2
  • O2
  • Cl2
The r.m.s. speed of gas molecules is given by

  • Physics-Kinetic Theory of Gases-75471.png
  • 2)
    Physics-Kinetic Theory of Gases-75472.png

  • Physics-Kinetic Theory of Gases-75473.png

  • Physics-Kinetic Theory of Gases-75474.png
Which of the following statements is true?
  • Absolute zero degree temperature is not zero energy temperature
  • Two different gases at the same temperature pressure have equal root mean square velocities
  • The root mean square speed of the molecules of different ideal gases, maintained at the same temperature are the same
  • Given sample of 1 cc of hydrogen and 1 cc of oxygen both at NTP; oxygen sample has a large number of molecules
According to the kinetic theory of gases, at absolute temperature
  • Water freezes
  • Liquid helium freezes
  • Molecular motion stops
  • Liquid hydrogen freezes
Molecular motion shows itself as
  • Temperature
  • Internal energy
  • Friction
  • Viscosity
At which temperature the velocity of O2 molecules will be equal to the velocity of N2 molecules at 0°C
  • 40°C
  • 93°C
  • 39° C
  • Cannot be calculated
If mass of He atom is 4 times that of hydrogen atom then mean velocity of He is
  • 2 times of H-mean value
  • 1/2 times of H-means value
  • 4 times of H-mean value
  • Same as H-mean value
The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes
  • Twice
  • Half
  • Four times
  • One-fourth
According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to
  • T
  • 2)
    Physics-Kinetic Theory of Gases-75480.png
  • T2

  • Physics-Kinetic Theory of Gases-75481.png
At what temperature the molecules of nitrogen will have the same r.m.s. velocity as the molecules of oxygen at 127°C
  • 77°C
  • 350°C
  • 273°C
  • 457°C
r.m.s. velocity of nitrogen molecules at NTP is
  • 492 m/s
  • 517 m/s
  • 546 m/s
  • 33 m/s
The temperature of the hydrogen at which the average speed of its molecules is equal to that of oxygen molecules at a temperature of 31°C, is
  • –216°C
  • –235°C
  • –254°C
  • –264°C
The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes
  • 4v
  • 2v
  • v/2
  • v/4
Root mean square velocity of a particle is v at pressure P. If pressure is increased two times, then the r.m.s. velocity becomes
  • 2v
  • 3v
  • 0.5v
  • v
0:0:1


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