Question:
A bulb contains one mole of hydrogen mixed with one mole of oxygen at temperature $T$. The ratio of $r.m.s.$ values of velocity of hydrogen molecules to that of oxygen molecules, is
A bulb contains one mole of hydrogen mixed with one mole of oxygen at temperature $T$. The ratio of $r.m.s.$ values of velocity of hydrogen molecules to that of oxygen molecules, is
Updated On: Jul 5, 2022
- 4:01
- 1:16
- 1:04
- 16:01
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Given: One mole of hydrogen mixed with one mole of oxygen.
We know that r.m.s. velocity
$\left(v_{rms}\right)=\sqrt{\frac{3RT}{M}}\mu \sqrt{\frac{1}{M}}$
or $\frac{\left(v_{rms}\right)_{H}}{\left(v_{rms}\right)_{O}}=\sqrt{\frac{M_{O}}{M_{H}}}=\sqrt{\frac{32}{2}}=\frac{4}{1}.$
or $\left(v_{rms}\right)_{H} : \left(v_{rms}\right)_{_O}= 4 : 1.$
Was this answer helpful?
0
0
Top Questions on kinetic theory
- In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?
- BITSAT - 2025
- Physics
- kinetic theory
- Mean free path is inversely proportional to (n = number density, d = diameter of particle)
- KEAM - 2025
- Physics
- kinetic theory
- The equation for the RMS velocity is given as \[ v_{\text{rms}} = \sqrt{\frac{3RT}{M_0}} \] where \( R \) is the gas constant, \( T \) is the temperature, and \( M_0 \) is the molecular mass. If the temperature is increased, find the new RMS velocity \( v_{\text{rms}} \) when the temperature is doubled.}
- MHT CET - 2025
- Physics
- kinetic theory
The motion of a particle in the XY plane is given by \( x(t) = 25 + 6t^2 \, \text{m} \); \( y(t) = -50 - 20t + 8t^2 \, \text{m} \). The magnitude of the initial velocity of the particle, \( v_0 \), is given by:
- OJEE - 2024
- Physics
- kinetic theory
- A body of mass \( m \) moves along the X-axis such that at time \( t \), its position is \( x(t) = \alpha t^4 - \beta t^3 + \gamma t \), where \( \alpha \), \( \beta \), and \( \gamma \) are constants. The acceleration of the body is:
- OJEE - 2024
- Physics
- kinetic theory
View More Questions
Questions Asked in AIIMS exam
What is the major product of the reaction?- AIIMS - 2024
- Organic Chemistry - Some Basic Principles and Techniques
- Which of the following is a crystalline solid?
- AIIMS - 2024
- The solid state
- 1028 grams of seawater sample contains 7 mL of dissolved oxygen ($ \text{O}_2 $). What is the concentration of oxygen in parts per million (ppm)?
- AIIMS - 2024
- Environmental Chemistry
- Which non-metallic solid is known for its electrical conductivity?
- AIIMS - 2024
- Ionic mobility and conductivity
What is the major product formed when phenol is treated with sodium dichromate (\( \text{Na}_2\text{Cr}_2\text{O}_7 \)) and sulfuric acid (\( \text{H}_2\text{SO}_4 \))?- AIIMS - 2024
- Organic Chemistry - Some Basic Principles and Techniques
View More Questions
Concepts Used:
Kinetic Molecular Theory of Gases
Postulates of Kinetic Theory of Gases:
- Gases consist of particles in constant, random motion. They continue in a straight line until they collide with each other or the walls of their container.
- Particles are point masses with no volume. The particles are so small compared to the space between them, that we do not consider their size in ideal gases.
- Gas pressure is due to the molecules colliding with the walls of the container. All of these collisions are perfectly elastic, meaning that there is no change in energy of either the particles or the wall upon collision. No energy is lost or gained from collisions. The time it takes to collide is negligible compared with the time between collisions.
- The kinetic energy of a gas is a measure of its Kelvin temperature. Individual gas molecules have different speeds, but the temperature and
kinetic energy of the gas refer to the average of these speeds. - The average kinetic energy of a gas particle is directly proportional to the temperature. An increase in temperature increases the speed in which the gas molecules move.
- All gases at a given temperature have the same average kinetic energy.
- Lighter gas molecules move faster than heavier molecules.
