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41. Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen is

(a)  16 : 1                                  (b)  1 : 8 (c)   8 : 1                                    (d)  1 : 1 Answer-d (40)

40. If temperature of gas increases from 27°C to 927°C the K.E. will be

(a)  Double                                 (b)  Half (c)  ...

39. A box contains a mixture of

H2 and He gases. Which of the following statements are corrects (a)  The average translational kinetic energies of H2  molecules...

38. At the same temperature and pressure and volume of two gases, which of the following quantities is constant

(a)  Total number of molecules (b)  Average kinetic energy (c)   Root mean square velocity (d)  Mean free path Answer-b (14)

37. At 0 K which of the following properties of a gas will be zero

(a) Kinetic energy                          (b)  Potential energy (c)   Vibrational energy                (d)  Density Answer-a (6)

36. A polyatomic gas with n degrees of freedom has a mean energy per molecule given by

(a)  (nkT)/N                                     ...

34. The average translational kinetic energy of

O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2  (molar mass...

33. The average kinetic energy of a gas molecule at 27°C is

6.21×10-21 J . Its average kinetic energy at 227°C will be (a) 52.2×10-21 J               ...

32. At 27°C temperature, the kinetic energy of an ideal gas is

E1 . If the temperature is increased to 327°C, then kinetic energy would be (a)  2E1         ...

31. The translational kinetic energy of gas molecule for one mole of the gas is equal to

(a) (3/2)RT                                     ...

30. Read the given statements and decide which is/are correct on the basis of kinetic theory of gases [MP PMT 2003] (I) Energy of one molecule at absolute temperature is zero (II) r.m.s. speeds of different gases are same at same temperature (III) For one gram of all ideal gas kinetic energy is same at same temperature (IV) For one mole of all ideal gases mean kinetic energy is same at same temperature

(a)  All are correct                           (b)  I and IV are correct (c)   IV is correct             ...

29. At what temperature is the kinetic energy of a gas molecule double that of its value of 27°C

(a)  54°C                                          (b)  300 K (c)   327°C                           ...

28. The mean kinetic energy of a gas at 300 K is 100 J. The mean energy of the gas at 450 K is equal to

(a)   100 J                                          (b)  3000 J (c)   450 J                       ...

26. The translatory kinetic energy of a gas per gm is

(a) (3RT)/(2N)                                     ...

25. The kinetic energy of translation of 20 gm of oxygen at 47°C is (molecular wt. of oxygen is 32 gm/mol and R = 8.3 J/mol/K)

(a)  2490 joules                                (b)  2490 ergs (c)   830 joules                     ...

24. At which of the following temperature would the molecules of a gas have twice the average kinetic energy they have at 20°C

(a) 40°C                                          (b)  80°C (c)   313°C                             ...

23. The kinetic energy per gm mol for a diatomic gas at room temperature is

(a)  3 RT                                           (b) (5/2) RT (c) (3/2)  RT                                  (d) (1/2) RT Answer-b (7)

22. The time average of the kinetic energy of one molecule of a gas taken over a long period of time

(a)  Is proportional to the square root of the absolute temperature of the gas (b) Is proportional to the absolute...

21. A sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from 300 K to 600 K, the average K.E. of helium atoms is

(a)  Halved                                       (b)  Unchanged (c)  Doubled                             ...

20. Mean kinetic energy (or average energy) per gm molecule of a monoatomic gas is given by

(a)  (3/2)RT                                     ...

19. The average kinetic energy of a gas molecule can be determined by knowing

(a) The number of molecules in the gas (b)  The pressure of the gas only (c)   The temperature of the...

18. According to the kinetic theory of gases, total energy of a gas is equal to

(a)  Potential energy                       (b)  Kinetic energy (c)   Both (a) and (b)                   ...

17. The ratio of mean kinetic energy of hydrogen and nitrogen at temperature 300 K and 450 K respectively is

(a)  3 : 2                                 ...

16. The ratio of mean kinetic energy of hydrogen and oxygen at a given temperature is

(a)  1 : 16                                         (b)  1 : 8 (c)   1 : 4                 ...

15. The average kinetic energy of a gas at – 23°C and 75 cm pressure is

5×10-14 erg for H2 . The mean kinetic energy of the O2  at 227°C and 150 cm pressure will be...

10. If the mean free path of atoms is doubled then the pressure of gas will become

(a)  P/4                                     (b)  P/2 (c)  P/8                             ...

14. If number of molecules of

H2 are double than that of O2 ,  then ratio of kinetic energy of hydrogen and that of oxygen at...

13. For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is

U1 and U2  respectively. U1:U2 is (a)  5 : 3                     ...

12. The value of universal gas constant is 8.3 J/mole/K, the mean kinetic energy of 32 gm of oxygen at – 73°C will be

(a)  480 J (b)  4980 J (c)   2490 J (d)  The information is incomplete Answer-c (10)

11. Relationship between P,V and E for a gas is

(a) P=(3/2)EV                          (b) V=(3/2)PE (c) PV=(3/2)E     ...

9. In kinetic theory of gases, a molecule of mass m of an ideal gas collides with a wall of vessel with velocity V. The change in the linear momentum of the molecule is

(a)  2mV                                           (b)  mV (c)   – mV                           ...

36. The temperature of argon, kept in a vessel, is raised by at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are

(a)  60% and 40%                   (b)  40% and 60% (c)   50% and 50%                   (d)  100% and 0% Answer-d (7)

7. At a given temperature, the pressure of an ideal gas of density ρ is proportional to             

(a) 1/ρ 2                                   ...

6. The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at

0°C is 3180 metres/second. The pressure on the hydrogen gas is  (Density of hydrogen gas is 8.99×10-2 kg/m3  , 1...

5. A cylinder of capacity 20 litres is filled with

H2 gas. The total average kinetic energy of translatory motion of its molecules 1.5×105 J is . The pressure of...

4. The relation between the gas pressure P and average kinetic energy per unit volume E is

(a) P =(1/2) E                                        (b)  P = E (c) P =(3/2) E               ...

3. A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of molecules is made 2n

(a)  Pressure will decrease (b)  Pressure will remain unchanged (c)   Pressure will be doubled (d)  Pressure will become three times...

2. Gas at a pressure

P0 in contained is a vessel. If the masses of all the molecules are halved and their speeds are doubled,...

1. The pressure exerted by the gas on the walls of the container because

(a) It loses kinetic energy (b)  It sticks with the walls (c)   On collision with the walls there is a...

42. The ratio of specific heat of a mixture of one mole of helium and one mole of hydrogen gas will be

(a)  1                                     ...

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