Class 11 Physics: Kinetic Theory Mock Test | Exam Bashed
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Kinetic Theory Mock Test – Class 11 Physics

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Kinetic Theory – Progressive Test

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1. An ideal gas is best described as a gas whose molecules have

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2. A gas is heated from to . For the same gas, the rms speed changes by a factor of

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3. Use the table below for an ideal-gas mixture in the same container at the same temperature.

Component Amount Partial pressure
P
Q ?

The partial pressure of gas Q is

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4. A monatomic ideal gas has . Its and are

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5. A diatomic ideal gas at ordinary temperature is heated by at constant volume. Taking , the heat supplied is closest to

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6. A gas spreads through the whole available space because its molecules

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7. Use the graph description below.
A Maxwell speed-distribution graph is drawn for the same gas at two temperatures and . Curve II has a lower peak, is broader, and its maximum is shifted to a higher speed compared with Curve I. The area under each curve is the same.
The best conclusion is

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8. In the expression , the symbol represents

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9. Consider the following statements about , , , , and .
I. .
II. .
III. .

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10. In a cubical container of side , a molecule with -component travels between the two opposite walls perpendicular to the -axis. The time between two successive collisions with the same wall is

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11. In the ideal-gas kinetic model, molecules are treated as point particles because their own volume is assumed to be

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12. Mean free path of a gas molecule means the

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13. A sealed box contains gas in equilibrium. Pressure on the side wall is not explained mainly by the weight of gas above it because

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14. A monatomic ideal gas undergoes an isothermal expansion. Its internal energy change is

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15. For an ideal gas, . If the density is unchanged and is doubled, the pressure becomes

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16. The kinetic-theory pressure relation obtained after summing molecular impacts and using isotropy is

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17. A statement says, “In an ideal gas, there are no collisions because intermolecular forces are neglected.” The best correction is that

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18. A sample contains of oxygen gas with molar mass . Its total mass is

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19. A gas sample has the same volume, temperature, and pressure as another gas sample. Avogadro's hypothesis allows us to conclude that the two samples have the same

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20. Consider the following statements about molecular size and number density.
I. A typical molecular diameter is of the order .
II. Number density tells the number of molecules per unit volume.
III. If is fixed and increases, number density increases.

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21. A gas has a longer mean free path under one set of conditions than under another. For transport phenomena, this usually means molecules can

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22. A row in a notebook says, “Molecular mass and mass of one molecule are the same quantity.” The most useful correction is that

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23. A gas molecule has instantaneous velocity components , , and . For the gas as a whole, kinetic theory uses only when

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24. Select the rows whose judgements are correct.

Decision Judgement
P. Use for a dilute gas far from liquefaction Suitable
Q. Use simple equipartition with only active degrees of freedom Suitable
R. Use mean-free-path formula without caution in a very dense gas Not suitable
S. Use Celsius directly in Suitable

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25. Match the following kinetic-theory relations with the condition or meaning they most directly represent.

Column I Column II
P. 1. Pressure from density and molecular speed
Q. 2. Collision spacing using number density
R. 3. Ideal-gas molar heat-capacity difference
S. 4. Average translational kinetic energy per molecule

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26. A ideal gas has and . It is heated through at constant volume. The heat supplied is closest to

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27. Use the arrangement described below.

Two closed vessels of equal volume contain different gases at ordinary conditions. Vessel P contains helium and vessel Q contains oxygen. In both vessels, the gases fill the entire container.

The fact that both gases fill their vessels is mainly due to

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28. A gas and a solid are compared at the molecular level. In the gas, a typical molecule travels a relatively long distance before its direction is changed by collision, while in the solid, particles mainly vibrate about fixed positions. This comparison mainly explains why

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29. A non-linear polyatomic molecule is treated as having translational and rotational active degrees of freedom when vibrations are neglected. Its value of is

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30. A gas in a container is heated while its volume and number of molecules remain fixed. The kinetic explanation for the pressure increase is that heating increases

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31. A monatomic ideal gas has active degrees of freedom. The average energy per molecule is therefore

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32. Select the rows whose judgements are correct.

Row Claim Judgement
P At the same , different ideal gases have the same average translational kinetic energy per molecule Suitable
Q At the same , all molecules must have exactly the same speed Not suitable
R Average translational kinetic energy per molecule is proportional to in Suitable
S Temperature is directly proportional to molecular mass at fixed energy Suitable

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33. Use the arrangement described below.

A gas molecule travels inside a cubical container. Between two collisions, no force acts on it in the ideal-gas model. At the wall, it rebounds elastically.

During the free part of its motion between collisions, the molecule is assumed to move

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34. A gas sample is at with rms speed . It is heated to . The new rms speed is

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35. At constant pressure, the temperature of an ideal gas is increased while molecular diameter remains unchanged. The mean free path generally

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36. One mole of any substance contains approximately

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37. A gas is described by the relation . If its pressure is kept constant while its density becomes one-fourth of the original value, the new rms speed becomes

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38. A gas at constant pressure is heated from to . Molecular diameter is unchanged. If its initial mean free path is and initial collision frequency is , the final mean free path and collision frequency are

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39. Two flasks of equal volume are kept at the same temperature and pressure. One contains nitrogen and the other contains carbon dioxide. According to Avogadro's hypothesis, the two flasks contain the same

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40. Assertion: At ordinary temperature, a diatomic gas is often assigned active degrees of freedom.
Reason: Its translational and rotational modes are counted, while vibrational modes are usually neglected in the simple treatment.

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41. A statement about gases says, “The molecules in a gas are far apart, so there is no interaction of any kind.” The most accurate correction is that

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42. A monatomic ideal gas is heated from to . At the same time, its volume doubles. The change in internal energy is, using ,

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43. A gas is compressed isothermally from volume to , with the number of molecules and molecular diameter unchanged. The mean free path becomes

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44. A gas has molecules, each of mass , in volume . If the pressure is , its rms speed is closest to

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45. Helium and oxygen are kept at the same pressure and temperature. Taking their molar masses as and , respectively, the correct comparison is

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46. A gas sample has density , pressure , and molar mass . Using , its temperature is closest to

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47. A statement says, “Because a molecule has diameter about , a gas molecule has no size at all.” The statement is best judged as

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48. In gas equations, the symbol is best interpreted as

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49. A gas molecule of mass is in a gas whose pressure is and number density is . Its rms speed is closest to

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50. Mayer's relation for an ideal gas connects the molar heat capacities as

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