NEET Physics Speed of Gas Pressure and Kinetic Energy Online Test Set A

1. The average transitional energy and the rms speed of molecules in a sample of oxygen gas at 300 K are 6.21 × 10^–21 J and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

2. At what temperature the mean speed of the molecule of hydrogen gas (H2) equals the escape speed from the earth?

3. The root mean square velocity of hydrogen molecules at 300 K is 1930 metre/sec. Then the r.m.s velocity of oxygen molecules at 1200 K will be

4. The root mean sqaure velocity of the molecules in a sample of helium is 5/7 th that of the molucules in a sample of hydrogen. If the temperature of hydrogen sample is 0oC, that of helium sample is about

5. Assertion : For an ideal gas, at constant temperature, the product of pressure and volume is constant.
Reason : The mean square velocity of the molecules is inversely proportional to mass.

6. The r.m.s. velocity of oxygen molecule at 16ºC is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at 127ºC is

7. Find the temperature at which the Vrms for O² molecule is 483 ms^–1

8. The kinetic theory of gases states that the average squared velocity of molecules varies linearly with the mean molecular weight of the gas. If the root mean square (rms) velocity of oxygen molecules at a certain temperature is 0.5 km/sec. The rms velocity for hydrogen molecules at the same temperature will be :

9. One kg of a diatomic gas is at a pressure of 8 × 10⁴N/m². The density of the gas is 4kg/m³. What is the energy of the gas due to its thermal motion?

10. Assertion : If a gas container in motion is suddenly stopped, the temperature of the gas rises.
Reason : The kinetic energy of ordered mechanical motion is converted in to the kinetic energy of random motion of gas molecules.

11. The temperature at which oxygen molecules have the same root mean square speed as that of hydrogen molecules at 300 K is

12. The temperature at which protons in hydrogen gas would have enough energy to overcome Coulomb barrier of 4.14 × 10^–14 J is (Boltzmann constant = 1.38 × 10^–23 JK^–1)

13. The temperature at which the average transitional kinetic energy of a gas molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is

14. Which of the following is/are incorrect statement(s) regarding the law of equipartition of energy ?
I. The gas possess equal energies in all the three directions x,y and z-axis.
II. The total energy of a gas is equally divided between kinetic and potential energies.
III. The total kinetic energy of a gas molecules is equally divided among translational and rotational kinetic energies.

15. Gas at a pressure P₀ is contained in a vessel. If the masses of all the molecules are halved and their speeds are doubled, the resulting pressure P will be equal to

16. At constant volume, temperature is increased then

17. A flask contains a monoatomic and a diatomic gas in the ratio of 4 : 1 by mass at a temperature of 300 K. The ratio of average kinetic energy per molecule of the two gases is

18. For mean kinetic energy per molecule, a vessel filled with two different gases.
I. Mean kinetic energy per molecule for both gases will be equal.
II. Mean kinetic energy per molecule of gas with higher mass will be more.
III. Mean kinetic energy per moleculers of gas with lower mass will be more.
Select the correct statement(s).

19. Maxwell's laws of distribution of velocities shows that

20. If E is the translational kinetie energy, then which of the following relation holds good ?

21.

22. The internal energy of an ideal gas is

23. At a given temperature which of the following gases possesses maximum r.m.s. velocity?

24. Pressure exerted by a gas is

25. Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will.

26. Assertion : When we place a gas cylinder on a moving train, its internal kinetic energy increases.
Reason : Its temperature remains constant.

27.

28.

29. In a diatomic molecules, the rotational energy at a given temperature

30. In the isothermal expansion of 10g of gas from volume V to 2V the work done by the gas is 575J. What is the root mean square speed of the molecules of the gas at that temperature?

31. The temperature of a gas is a measure of

32.

33. The average kinetic energy of gas molecules depends upon which of the following factor?

34. The average kinetic energy per molecule of any ideal gas is always equal to

35. In a mixture of gases at a fixed temperature