# A diatomic molecule has how many degrees of freedom-                                                                                              (1) 3            (2) 4           (3) 5              (4) 6

Subtopic:  Law of Equipartition of Energy |
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A thermally insulated piston divides a container into two compartments.  Volume, temperature, and pressure in the right compartment are 2V, T and 2P, while in the left compartment the respective values are V, T and P.  If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be :
1. V
2. $\frac{3V}{5}$
3. $\frac{9V}{4}$
4. $\frac{12V}{5}$

Subtopic:  Ideal Gas Equation |
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The graph which represents the variation of mean kinetic energy of molecules with temperature $t°C$ is ?

(1)

(2)

(3)

(4)

Subtopic:  Kinetic Energy of an Ideal Gas |
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${V}_{rms},{V}_{av},{V}_{mp}$ are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

1. ${V}_{rms}<{V}_{av}<{V}_{mp}$

2. ${V}_{rms}>{V}_{av}>{V}_{mp}$

3.

4. ${V}_{avg}>{V}_{rms}<{V}_{mp}$

Subtopic:  Types of Velocities |
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Gas is found to obey the law ${P}^{2}V$ = constant. The initial temperature and volume are ${T}_{0}$ and ${V}_{0}$. If the gas expands to a volume $3{V}_{0}$, its final temperature becomes:

1. $\frac{{T}_{0}}{3}$

2. $\frac{{T}_{0}}{\sqrt{3}}$

3. $3{T}_{0}$

4. None of these

Subtopic:  Ideal Gas Equation |
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For a gas, the r.m.s speed at 800 K is:

1. Four times the value at 200 K

2. Half the value at 200 K

3. Twice the value at 200 K

4. Same as at 200 K

Subtopic:  Types of Velocities |
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The average kinetic energy of a helium atom at $30°C$ is:                                                                                           [MP PMT 2004]

1. Less than 1 eV

2. A few KeV

3. 50-60 eV

4. 13.6 eV

Subtopic:  Kinetic Energy of an Ideal Gas |
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Choose the correct option related to the specific heat at constant volume ${C}_{V}$ -

1. ${C}_{V}=\frac{1}{2}fR$

2. ${C}_{V}=\frac{R}{\gamma -1}$

3. ${C}_{V}=\frac{{C}_{P}}{\gamma }$

4. All of these

Subtopic:  Specific Heat |
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The curve between absolute temperature and ${{v}_{rms}}^{2}$ is:

1.

2.

3.

4.

Subtopic:  Types of Velocities |
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Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 km${s}^{-1}$.  The value of the root mean square speed of the gas molecules is:

1. 3 km${s}^{-1}$

2. $\sqrt{11}$ km${s}^{-1}$

3. $\frac{1}{2}\sqrt{\mathrm{\pi }}$ km${s}^{-1}$

4. 3.5 km${s}^{-1}$

Subtopic:  Types of Velocities |
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