In a diatomic molecule, the rotational energy at a given temperature:

 (a) obeys Maxwell’s distribution. (b) have the same value for all molecules. (c) equals the translational kinetic energy for each molecule. (d) is (2/3)rd the translational kinetic energy for each molecule.

Choose the correct alternatives:

 1 (a, b) 2 (a, d) 3 (c, d) 4 (a, c)

Subtopic:  Law of Equipartition of Energy |
57%
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Which of the following diagrams (figure) depicts ideal gas behaviour?

1. (a), (c)
2. (a), (d)
3. (c), (d)
4. (a), (b)

Subtopic:  Ideal Gas Equation |
67%
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When an ideal gas is compressed adiabatically, its temperature rises: the molecules on an average have more kinetic energy than before. The kinetic energy increases:

 1 because of collisions with moving parts of the wall only. 2 because of collisions with the entire wall. 3 because the molecules get accelerated in their motion inside the volume. 4 because of the redistribution of energy amongst the molecules.

Subtopic:  Kinetic Energy of an Ideal Gas |
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A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of  in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:

 1 remains the same because  $$500$$ $$\mathrm{ms^{-1}}$$ is very much smaller than $$v_{rms}$$ of the gas. 2 remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls. 3 will increase by a factor equal to $$\Big(\frac{v_{rms}^2+(500)^2}{v_{rms}^2}\Big)$$where $$v_{rms}^2$$ was the original mean square velocity of the gas. 4 will be different on the top wall and bottom wall of the vessel.

Subtopic:  Kinetic Energy of an Ideal Gas |
67%
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1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:

 1 the pressure on EFGH would be zero. 2 the pressure on all the faces will be equal. 3 the pressure on EFGH would be double the pressure on ABCD. 4 the pressure on EFGH would be half that on ABCD.

Subtopic:  Kinetic Energy of an Ideal Gas |
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Boyle's law is applicable for an:

 1 adiabatic process 2 isothermal process 3 isobaric process 4 isochoric process
Subtopic:  Ideal Gas Equation |
87%
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A cylinder containing an ideal gas is in a vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased,

1. both P and V of the gas will change.

2. only P will increase according to Charles' law.

3. V will change but not P.

4. P will change but not V.

Subtopic:  Ideal Gas Equation |
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The volume versus temperature graphs for a given mass of an ideal gas are shown in the figure at two different values of constant pressure. What can be inferred about relation between $$\mathrm{P_1}$$ and $$\mathrm{P_2}$$?

1. $$\mathrm{P_1}>\mathrm{P_2}$$
2. $$\mathrm{P_1}=\mathrm{P_2}$$
3. $$\mathrm{P_1}<\mathrm{P_2}$$
4. data is insufficient

Subtopic:  Ideal Gas Equation |
85%
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1 mole of ${H}_{2}$ gas is contained in a box of volume V = 1.00 ${m}^{3}$ at T = 300 K. The gas is heated to a temperature of T = 3000 K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be: (considering all gases to be ideal)

1. same as the pressure initially

2. 2 times the pressure initially

3. 10 times the pressure initially

4. 20 times the pressure initially

Subtopic:  Ideal Gas Equation |
50%
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An inflated rubber balloon contains one mole of an ideal gas, has a pressure $$P,$$ volume $$V$$ and temperature $$T.$$ If the temperature rises to $$1.1T,$$ and the volume is increased to $$1.05V,$$ the final pressure will be:

 1 $$1.1P$$ 2 $$P$$ 3 less than $$P$$ 4 between $$P$$ and $$1.1P$$

Subtopic:  Ideal Gas Equation |
72%
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