# ${V}_{rms},{V}_{av},{V}_{mp}$ 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 |
From NCERT
PMT - 2004
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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 $$\mathrm{v}^2_{rms}$$${}^{}$ is:

 1 2 3 4
Subtopic:  Types of Velocities |
71%
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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 |
77%
From NCERT
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The average velocity of an ideal gas molecule is:

 1 proportional to $$\sqrt{T}$$ 2 proportional to $$T^2$$ 3 proportional to $$T^3$$ 4 zero
Subtopic:  Types of Velocities |
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For a gas, $\frac{R}{{C}_{V}}=0.67$.  This gas is made up of molecules which are:                                                                   [JIPMER 2001, 02]

1. Diatomic

2. Mixture of diatomic and polyatomic molecules

3. Monoatomic

4. Polyatomic

Subtopic:  Specific Heat |
65%
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At constant temperature, on increasing the pressure of a gas by 5% , its volume will decrease by:

1. 5%

2. 5.26 %

3. 4.26 %

4. 4.76 %

Subtopic:  Ideal Gas Equation |
From NCERT
PMT - 2006
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