Maxwell's Distribution of Speeds

Q.

At 400K, the root mean square (rms) speed of a gas X (molecular weight=40) is equal to the most probable speed of gas Y at 60 K.The molecular weight of the gas Y is_________.

Q.

Which of the following has maximum root mean square velocity at the same temperature

1. 

2. 

3. 

4. 

Q.

Among the following gases which one has the lowest root mean square velocity at 25${}^{\circ }$ C

1. 

2. 

3. 

4. 

Q. In the following graph of Maxwell-Boltzmann distribution of molecular velocities

Which of the following is the correct order of temperature?

1. $T_1<T_2<T_3$
2. $T_3<T_2<T_1$
3. $T_2<T_1<T_3$
4. None

Q.

Select the correct order of molecular velocities.

1. 

2. 

3. 

4. 

Q.

If $C_1,C_2,C_3$.........represent the speeds of $n_1,n_2,n_3$......... molecules, then the root mean square speed is _____.

1. 

2. 

3. 

4. 

Q.

Which of the following has maximum root mean square velocity at the same temperature

1. $S{O}_2$

2. $C{O}_2$

3. $O_2$

4. $H_2$

Q. In the following graph of Maxwell-Boltzmann distribution of molecular velocities

Which of the following is the correct order of temperature?

1. $T_2<T_1<T_3$
2. $T_1<T_2<T_3$
3. $T_3<T_2<T_1$
4. None

Q. He gas sample is transferred from manometer A to manometer B at same temperature, then what is the height of Hg in manometer B?

समान ताप पर He गैस नमूने को दाबमापी A से दाबमापी B में स्थानान्तरित किया जाता है, तो दाबमापी B में Hg की ऊँचाई क्या है?

1. Zero
   (शून्य)
2. –76
3. 25.3
4. 76

Q.

Which one of the following statement(s) is/are not true about the effect of an increase in temperature on the distribution of molecular speeds in a gas?

1. The most probable speed increases.

2. The fraction of the molecules with the most probable speed increases.

3. The area under the distribution curve remains the same as under the lower temperature.

4. The distribution becomes broader.

Q. The ratio of average speed of an O2 molecule to the RMS speed of N2 molecule at the same temperature is

Q.

Select the correct order of molecular velocities.

1. $u_{rms}<u_{av}<u_{mp}$

2. $u_{av}<u_{mp}<u_{rms}$

3. $u_{mp}<u_{av}<u_{rms}$

4. $u_{mp}<u_{rms}<u_{av}$

Q. The following graph represents the Maxwell distribution curve for an ideal gas at two temperatures $T_1$ and $T_2$. Which of the following option(s) is/are true?

1. The total area under the two curves is independent of the number of moles of the gas.
2. $U_{mp}$ decreases as the temperature decreases.
3. $T_1>T_2$ and hence, higher the temperature, sharper the curve.
4. The fraction of molecules that have speeds equal to $U_{mp}$ decreases as the temperature increases.

Q. The average velocity of a gas is $400m{s}^{-1}$.The rms velocity of the gas is .

1. 434 $m{s}^{-1}$
2. 334 $m{s}^{-1}$
3. 534 $m{s}^{-1}$

Q. For gases $C{H}_4\left(g\right)$ and $N_2\left(g\right)$ Both gases are in the same sealed flask with a total pressure of 750 mmHg. The partial pressure of $N_2\left(g\right)$ is 500 mmHg. Which is / are incorrect graph.

1. 
2. 
3. 
4. 

Q. The lowest energy X-rays having $\lambda =3.055\times {10}^{-8}m$. Which of the following statements is/are true?

1. The minimum difference in energy between two Bohr's orbits such that an electronic transition would correspond to the emission of an X-ray is $6.52\times {10}^{-18}J$
2. For $Z=2$ the transiton that corresponds to the above radiation is $n=2$ to $n=1$
3. For $Z=2$ the transiton that corresponds to the above radiation is $n=3$ to $n=2$
4. The minimum difference in energy between two Bohr's orbits such that an electronic transition would correspond to the emission of an X-ray is $1.65\times {10}^{18}J$

Q. The average velocity of a gas is $400m{s}^{-1}$.The rms velocity of the gas is .

1. 434 $m{s}^{-1}$
2. 334 $m{s}^{-1}$
3. 534 $m{s}^{-1}$