A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27^{\circ}\text{C}.\) The ratio of root mean square speed of the molecules of the two gases \(\left(\dfrac{v_{\text{rms}}^{\text{Ar}}}{v_{\text{rms}}^{\text{Cl}}}\right)~~\) is:
(atomic mass of argon \(=40.0~\text{u}\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{\sqrt{7}}{2}\)
2. \(\dfrac{7}{2}\)
3. \(\dfrac{7}{4}\)
4. \(\dfrac{2}{\sqrt{7}}\)
Subtopic:  Types of Velocities |
 70%
Level 2: 60%+
NEET - 2026
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The temperature of a gas is \(-50^\circ \text{C}.\) To what temperature the gas should be heated so that the RMS speed is increased by \(3\) times?
1. \(223~\text{K}\)
2. \(669^\circ \text{C}\)
3. \(3295^\circ \text{C}\)
4. \(3097~\text{K}\)
Subtopic:  Types of Velocities |
 54%
Level 3: 35%-60%
NEET - 2023
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The temperature at which the RMS speed of atoms in neon gas is equal to the RMS speed of hydrogen molecules at \(15^{\circ} \text{C}\) is:
(the atomic mass of neon \(=20.2~\text u,\) molecular mass of hydrogen \(=2~\text u\))
1. \(2.9\times10^{3}~\text K\)
2. \(2.9~\text K\)
3. \(0.15\times10^{3}~\text K\)
4. \(0.29\times10^{3}~\text K\)

Subtopic:  Types of Velocities |
 77%
Level 2: 60%+
NEET - 2022
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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following, is:
1.  All vessels contain an unequal number of respective molecules.
2.  The root mean square speed of molecules is the same in all three cases.
3.  The root mean square speed of helium is the largest.
4.  The root mean square speed of sulfur hexafluoride is the largest.
Subtopic:  Types of Velocities |
 75%
Level 2: 60%+
NEET - 2022
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