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Kinetic Theory

JEE Main 2025 (Online) 4th April Morning ShiftMCQEasy📈 Topic in 8% papers+4−1
Ques. 1JEE Main 2025, 4 April (Morning Shift)

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3 10-7 m and 600 m/s, respectively. Find the frequency of its collisions.

  1. 5 108/s
  2. 9 105/s
  3. 2 1010/s
  4. 2 109/s

Answer

(4) 2 109/s

Solution

Between two collisions a molecule travels on average one mean free path at average speed v.

Collision frequency f = v

f = 6003 10-7 = 2 109 s-1

Answer: (4)

Keep practising — Kinetic Theory

Ques. 2JEE Main 2025, 4 April (Evening Shift)

There are two vessels filled with an ideal gas where volume of one is double the volume of the other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

  1. 24
  2. 4.4
  3. 18
  4. 6
Ques. 3JEE Main 2025, 2 April (Morning Shift)

A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. B is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If A B = (1 + 1n ), then the value of n is .

Ques. 4JEE Main 2025, 2 April (Evening Shift)

The internal energy of air in 4 m 4 m 3 m sized room at 1 atmospheric pressure will be 106 J (Consider air as diatomic molecule)

Ques. 5JEE Main 2025, 29 January (Morning Shift)

A container of fixed volume contains a gas at 27 . To double the pressure of the gas, the temperature of gas should be raised to .

Ques. 6JEE Main 2025, 28 January (Morning Shift)

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
Ques. 7JEE Main 2025, 28 January (Evening Shift)

The ratio of vapour densities of two gases at the same temperature is 425, then the ratio of r.m.s. velocities will be :

  1. 52
  2. 254
  3. 425
  4. 25
Ques. 8JEE Main 2025, 28 January (Evening Shift)

The kinetic energy of translation of the molecules in 50 g of CO2 gas at 17 is :

  1. 4205.5 J
  2. 3582.7 J
  3. 3986.3 J
  4. 4102.8 J
Ques. 9JEE Main 2025, 22 January (Evening Shift)

For a diatomic gas, if 1= ( CpCv ) for rigid molecules and 2= ( CpCv ) for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is correct? (Cp and Cv are specific heats of the gas at constant pressure and volume)

  1. 2< 1
  2. 2> 1
  3. 2= 1
  4. 2 2= 1

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