Maxwell's Distribution of Speeds

Q. Two flasks A and B have equal volumes. Flask A containing $H_2$ gas is maintained at $27{}^{o}C$ while B containing an equal mass of $C{H}_{2}S$ gas is maintained at $177{}^{o}C$. Using average velocity calculate by how many times the molecules of $H_2$ gas are moving faster than $C{H}_{2}S$ gas.

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.

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from $5\times {10}^{4}cm{s}^{-1}$ to $10\times {10}^{4}cm{s}^{-1}$ Which of the following statement correctly explains how the change is accomplished

1. By heating the gas, the pressure is quadrupled (i.e. made four times)

2. By heating the gas, the temperature is doubled

3. By heating the gas, the temperature is quadrupled

4. By heating the gas, the pressure is doubled

Q.

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

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. 

2. 

3. 

4. 

Q.

In which of the gases given below, the average speed of the molecule is the least at 1000K?

1. 

2. 

3. 

4. 

Q.

If the absolute temperature of a sample of gas in a fixed volume container is quadrupled, then the root mean square speed in the initial state $U_i$ and that in the final state $U_f$ would be related as :

1. 

2. 

3. 

4. 

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 distribution becomes broader.

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

Q.

Select the correct order of molecular velocities.

1. 

2. 

3. 

4.