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Set 5 of 8 · Questions 121-150 of 229

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JEE Main Physics · Kinetic Theory of Gases · Set 5 (Q121-150)

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  1. 121.
    Consider two ideal diatomic gases and at some temperature . Molecules of the gas are rigid, and have a mass . Molecules of the gas have an additional vibrational mode, and have a mass The ratio of the specific heats and of gas and , respectively is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  2. 122.
    Gases exert pressure on the walls of the container because the gas molecules
    1. (1)have finite volume
    2. (2)obey Boyle's law
    3. (3)possess momentum
    4. (4)collide with one another
  3. 123.
    An HClmolecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is , m is its mass and ​ is Boltzmann constant, then its temperature will be:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  4. 124.
    The temperature of a gas is and the average translational kinetic energy of its molecules is . The temperature at which the average translational kinetic energy of the molecules of the same gas becomes is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  5. 125.
    As per kinetic theory of gases which of the following statement(s) is/are true?
    I. Temperature of a gas is a measure of average kinetic energy of a molecule.
    II. Temperature of a gas depends on the nature of the gas.
    III. Heavier molecule has lower average speed.
    IV. Lighter molecule has lower average speed.
    1. (1)I and II
    2. (2)II and III
    3. (3)I and III
    4. (4)II and IV
  6. 126.
    A sphere and a cube, both of copper have equal volumes and are black. They are allowed to cool at same temperature and in same atmosphere. The ratio of their rate of loss of heat will be
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  7. 127.
    For a rigid diatomic molecule, universal gas constant where is the molar specific heat at constant pressure and is a number. Hence is equal to
    1. (1)0.2257
    2. (2)0.4
    3. (3)0.2857
    4. (4)0.3557
  8. 128.
    Given below are two statements :
    Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter.
    Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.
    In the light of the above statements, choose the correct answer from the options given below :
    1. (1)Statement I is true but Statement II is false
    2. (2)Both Statement I and Statement II are false
    3. (3)Both Statement I and Statement II are true
    4. (4)Statement I is false but Statement II is true
  9. 129.
    A body is said to be opaque to the radiation if ( and are coefficient of absorption, reflection and transmission respectively)
    1. (1) and
    2. (2)
    3. (3)
    4. (4)
  10. 130.
    Consider 1 cc sample of air at absolute temperature at sea level and another 1 cc sample of air at a height where pressure is one-third atmosphere. The absolute temperature T of the sample at the height is -
    1. (1)Equal to (/3)
    2. (2)Equal to (3/)
    3. (3)Equal to
    4. (4)Cannot be determined in terms of from the above data
  11. 131.
    The molar specific heat of an ideal gas at constant pressure and constant volume is ' ' and ' ' respectively. If ' ' is the universal gas constant and the ratio of ' ' to ' ' is ' ' then ' ' is equal to
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  12. 132.
    The molecules of a given mass of a gas have rms velocity of at and pressure. When the temperature and pressure of the gas are respectively, and , the rms velocity of its molecules in is [NEET 2016]
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  13. 133.
    Under which of the following conditions is the law PV = RT obeyed most closely by a real gas
    1. (1)High pressure and high temperature
    2. (2)Low pressure and low temperature
    3. (3)Low pressure and high temperature
    4. (4)High pressure and low temperature
  14. 134.
    A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is:
    1. (1)15 RT
    2. (2)12 RT
    3. (3)4 RT
    4. (4)20 RT
  15. 135.
    molecules each of mass of gas and molecules each of mass of gas are contained in a vessel which is maintained at temperature . The mean square velocity of the molecules of gas is denoted by and the mean square of the -component velocity of the molecules of gas is denoted by , then is
    1. (1)2
    2. (2)1
    3. (3)
    4. (4)
  16. 136.
    A mixture of 2 moles of helium gas (atomic mass = 4u), and 1 mole of argon gas (atomic mass =40u) is kept at 300K in a container. The ratio of their rms speeds , is close to:
    1. (1)3.16
    2. (2)0.32
    3. (3)0.45
    4. (4)2.24
  17. 137.
    The average kinetic energy of a molecule of the gas is
    1. (1)proportional to absolute temperature
    2. (2)proportional to volume
    3. (3)proportional to pressure
    4. (4)dependent on the nature of the gas
  18. 138.
    Assuming the nitrogen molecule is moving with velocity at the de-Broglie wavelength of nitrogen molecule is close to (Given : nitrogen molecule weight: , Boltzman constant , Planck constant :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  19. 139.
    In the expression for Boyle's law, the product ' ' has dimensions of
    1. (1)force
    2. (2)impulse
    3. (3)energy
    4. (4)momentum
  20. 140.
    The volume V of an enclosure contains amixture of three gases, of oxygen, of nitrogen and of carbon dioxide at absolute temperature .Consider as universal gas constant. The pressure of the mixture ofgases is :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  21. 141.
    At constant temperature, increasing the pressure of a gas by its volume will decrease by
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  22. 142.
    The number of rotational degrees of freedom of a monatomic molecule is
    1. (1)2
    2. (2)1
    3. (3)0
    4. (4)3
  23. 143.
    For a molecule of an ideal gas, the number density is and the mean free path is . The diameter of the gas molecule is
    1. (1)
    2. (2)0.5× cm
    3. (3)2.5× cm
    4. (4)
  24. 144.
    Heat energy is incident on the surface at the rate of . If coefficient of absorption is 0.8 and coefficient of reflection is 0.1 , then heat energy transmitted by the surface in 5 minutes is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  25. 145.
    On the basis of kinetic theory of gases, the gas exerts pressure because its molecules:
    1. (1)suffer change in momentum when impinge on the walls of container.
    2. (2)continuously stick to the walls of container.
    3. (3)continuously lose their energy till it reaches wall.
    4. (4)are attracted by the walls of container.
  26. 146.
    The pressure of a gas is proportional to
    1. (1)the sum of kinetic and potential energies
    2. (2)potential energy
    3. (3)kinetic energy
    4. (4)None of the above
  27. 147.
    In non-rigid diatomic molecule with an additional vibrational mode
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  28. 148.
    If one mole of the polyatomic gas is having twovibrational modes and is the ratio of molarspecific heats for polyatomic gas thenthe value of is :
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  29. 149.
    A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature . The ratio of specific heat of gases at constant volume respectively is:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  30. 150.
    When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increase by 0.4%. The initial temperature of the gas is______K.