Question:
The rms speeds of the molecules of Hydrogen, Oxygen and Carbondioxide at the same temperature are $\mathrm{V}_{\mathrm{H}}, \mathrm{V}_{\mathrm{O}}$ and $\mathrm{V}_{\mathrm{C}}$ respectively then :
$\mathrm{V}_{\mathrm{H}}>\mathrm{V}_{\mathrm{O}}>\mathrm{V}_{\mathrm{C}}$
$\mathrm{V}_{\mathrm{C}}>\mathrm{V}_{\mathrm{O}}>\mathrm{V}_{\mathrm{H}}$
$\mathrm{V}_{\mathrm{H}}=\mathrm{V}_{\mathrm{O}}>\mathrm{V}_{\mathrm{C}}$
$V_{H}=V_{O}=V_{C}$
Correct Option: 1
Solution:
$\mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}_{\mathrm{W}}}}$
At the same temperature $\mathrm{V}_{\mathrm{RMS}} \propto \frac{1}{\sqrt{\mathrm{M}_{\mathrm{w}}}}$
$\Rightarrow \mathrm{V}_{\mathrm{H}}>\mathrm{V}_{\mathrm{O}}>\mathrm{V}_{\mathrm{C}}$
Option (1)
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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