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Kinetic Theory of Gases Book Back Questions

11th Standard

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Physics

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. Two identically sized rooms A and B are connected by an open door. If the room A is air conditioned such that its temperature is 4°C lesser than room B, which room has more air in it?

    (a)

    Room A

    (b)

    Room B

    (c)

    Both room has same air

    (d)

    Cannot be determined

  2. The average translational kinetic energy of gas molecules depends on

    (a)

    number of moles and T

    (b)

    only on T

    (c)

    P and T

    (d)

    P only

  3. If the internal energy of an ideal gas U and volume V are doubled then the pressure

    (a)

    doubles

    (b)

    remains same

    (c)

    halves

    (d)

    quadruples

  4. If sP and sV denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then

    (a)

    sP - sV = 28R

    (b)

    sP - sV = R/28

    (c)

    sP - sV = R/14

    (d)

    sP - sV = R

  5. For a given gas molecule at a fixed temperature, the area under the Maxwell-Boltzmann distribution curve is equal to

    (a)

    \(\frac{PV}{KT}\)

    (b)

    \(\frac{KT}{PV}\)

    (c)

    \(\frac{P}{NKT}\)

    (d)

    PV

  6. 3 x 2 = 6
  7. What is the microscopic origin of pressure?

  8. A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.

  9. Estimate the total number of air molecules in a room of capacity 25 m3 at a temperature of 27°C.

  10. 3 x 3 = 9
  11. Explain in detail the Maxwell Boltzmann distribution function.

  12. Derive the expression for mean free path of the gas.

  13. Describe the Brownian motion.

  14. 2 x 5 = 10
  15. Ten particles are moving at the speed of 2, 3, 4, 5, 5, 5, 6, 6, 7 and 9 m s-1. Calculate rms speed, average speed and most probable speed.

  16. An oxygen molecule is travelling in air at 300 K and 1 atm, and the diameter of oxygen molecule is 1.2\(\times\)10−10m. Calculate the mean free path of oxygen molecule.

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