Maxwell's Distribution of Speeds
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Statement 1: Most probable velocity increases
Statement 2: Fraction of molecules possessing most probable velocity decreases
- Statement 1 and Statement 2 are incorrect
- Statement 1 incorrect, Statement 2 correct
- Statement 1 correct, Statement 2 incorrect
- Statement 1 and Statement 2 both are correct
- The total area under the two curves is independent of the number of moles of the gas.
- Ump decreases as the temperature decreases.
- T1>T2 and hence, higher the temperature, sharper the curve.
- The fraction of molecules that have speeds equal to Ump decreases as the temperature increases.
The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5×104 cm s−1 to 10×104 cm s−1 Which of the following statement correctly explains how the change is accomplished
By heating the gas, the temperature is doubled
By heating the gas, the pressure is quadrupled (i.e. made four times)
By heating the gas, the temperature is quadrupled
By heating the gas, the pressure is doubled
Root mean square speed (urms); most probable speed (ump); Average speed (uav)
- A−ump;B−uav;C−urms
- A−ump;B−urms;C−uav
- A−uav;B−urms;C−ump
- A−urms;B−ump;C−uav
- 1.1086 : 1
- 0.92 : 1
- 1 : 1.1086
- 1:0.92
X, Y, Z can be different gases or the same gas at different temperatures.
X = He, Y = Ne, Z = Ar at 323 K
He is plotted at X = 1000 K, Y = 500 K, Z = 100 K
X, Y, Z have RMS speeds marked
Tc of gases is X>Y>Z
In which of the gases given below, the average speed of the molecule is the least at 1000K?
CO2
SO2
O2
CH4
The plot that depicts the behavior of the mean free time (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (), qualitatively, is: (Graph are schematic and not drawn to scale)
X, Y, Z can be different gases or the same gas at different temperatures.
X = He, Y = Ne, Z = Ar at 323 K
He is plotted at X = 1000 K, Y = 500 K, Z = 100 K
X, Y, Z have RMS speeds marked
Tc of gases is X>Y>Z
Among the following gases which one has the lowest root mean square velocity at 25∘ C
SO2
N2
O2
CL2
- a=√34r
- r=a2√2
- r=√34a
- r=a2
The average velocity of a gas is 400 ms−1.Find the rms velocity of the gas.
634 ms−1
534 ms−1
334 ms−1
434 ms−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 6.52×10−18 J
- For Z=2 the transiton that corresponds to the above radiation is n=2 to n=1
- For Z=2 the transiton that corresponds to the above radiation is n=3 to n=2
- 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 1.65×1018 J
The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5×104 cm s−1 to 10×104 cm s−1 Which of the following statement correctly explains how the change is accomplished
By heating the gas, the temperature is doubled
By heating the gas, the pressure is quadrupled (i.e. made four times)
By heating the gas, the temperature is quadrupled
By heating the gas, the pressure is doubled
Select the correct order of molecular velocities.
urms < uav < ump
uav < ump < urms
ump < uav < urms
ump < urms < uav
Among the following gases which one has the lowest root mean square velocity at 25∘ C
SO2
N2
O2
CL2
The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from 5×104 cm s−1 to 10×104 cm s−1 Which of the following statement correctly explains how the change is accomplished
By heating the gas, the temperature is doubled
By heating the gas, the pressure is quadrupled (i.e. made four times)
By heating the gas, the temperature is quadrupled
By heating the gas, the pressure is doubled