Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 56

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The pressure exerted by a gas is proportional to

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Important Questions on Kinetic Theory of Gases and Radiation

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 57

An ideal gas is enclosed in a cylinder at pressure of

2 atm

and temperature,

300 K

. Then mean time between two successive collisions is

6 \times 10^{- 8} s

. If the pressure is doubled and temperature is increased to

500 K

, the mean time between two successive collisions will be close to

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 58

A

25 \times 10^{- 3} m^{3}

volume cylinder is filled with

1

mol of

O_{2}

gas at room temperature

(300 K)

. The molecular diameter of

O_{2}

, and its root mean square speed, are found to be

0.3 n m

and

200 m s^{- 1}

, respectively. What is the average collision rate (per second) for an

O_{2}

molecule?

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 59

In the nuclear fusion reaction

{}_{1}^{2}H + {}_{1}^{3}H \overset{}{\to} {}_{2}^{4}{He} + n

. It is given that the repulsive potential energy between the two nuclei is

~ 7.7 \times 10^{- 14} J

, the temperature at which the gases must be heated to initiate the reaction is nearly

[

Boltzmann's constant

k = 1.38 \times 10^{- 23} J K^{- 1}]

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 60

According to kinetic theory of gas, the average kinetic energy of a gas molecule can be determined by knowing

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 61

The ratio of R.M.S. velocity of air molecules at S. T. P. and velocity of sound in air at S.T.P. is about $(\gamma=1.41$ for air $)$

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 62

The R.M.S. velocity of the molecules in a gas at

27 ° C

is

300 m s^{- 1}

. The R.M.S. velocity of the molecules in the same gas at

927 ° C

is

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 63

For a given mass of gas, velocities of all the molecules are ____ even when bulk parameters like pressure, volume and temperature are fixed.

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Physics Crash Course MHT-CET>Chapter 12 - Kinetic Theory of Gases and Radiation>Exercise 1>Q 66

The root mean square velocity of a gas molecule of mass $m$ at a given temperature is proportional to