Kinetic Theory of Gases

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What is the condition for a planet or satellite to have an atmosphere?

v rms = v e

v rms is independent of v e

v rms < v e (correct)

v rms > v e

What is the most probable speed of gas molecules in a given sample?

The average speed of all molecules

The speed of the fastest molecule

The speed of the slowest molecule

The speed possessed by the maximum number of molecules (correct)

At absolute zero temperature, what is the value of rms speed of molecules?

Minimum

Undefined

Zero (correct)

Maximum

What is the relationship between the rms speed, average speed, and most probable speed of gas molecules?

vrms > vav > vmp Signup and view all the answers

What is the formula to calculate the average speed of gas molecules?

vav = (v1 + v2 +... + vN)/N Signup and view all the answers

What is the effect of increasing molecular weight on the root mean square velocity of gas molecules?

It decreases the root mean square velocity Signup and view all the answers

What is the relationship between the root mean square velocity of gas molecules and temperature?

It is directly proportional to the square root of temperature Signup and view all the answers

What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

The kinetic energy is directly proportional to the square of the root mean square velocity Signup and view all the answers

What is the effect of increasing pressure on the root mean square velocity of gas molecules, if the temperature remains constant?

It does not affect the root mean square velocity Signup and view all the answers

Why does the Moon have no atmosphere?

Because the root mean square velocity of gas molecules is more than the escape velocity Signup and view all the answers

What is the effect of temperature on the root mean square velocity of molecules?

It increases the velocity Signup and view all the answers

At absolute zero degree temperature, what is the state of gas molecules?

They have zero kinetic energy but possess potential energy Signup and view all the answers

What is the relationship between the root mean square velocity of molecules and the temperature?

vrms ∝ √T Signup and view all the answers

When the temperature is increased from 27°C to 127°C, what is the effect on the root mean square velocity of molecules?

It increases by a factor of 2 Signup and view all the answers

What is true about the root mean square velocity of different ideal gases maintained at the same temperature?

They have the same root mean square velocity Signup and view all the answers

What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

The kinetic energy is directly proportional to the square of the rms speed Signup and view all the answers

If the molecular weight of a gas is increased, what is the effect on the root mean square velocity of its molecules?

The rms speed decreases Signup and view all the answers

At the same temperature, what is the relationship between the number of molecules of two different gases?

The number of molecules is the same Signup and view all the answers

What is the unit of Avogadro's number?

per gm mole Signup and view all the answers

At S.T.P., what is the volume occupied by one mole of any gas?

22.4 litre Signup and view all the answers

What is the unit of universal gas constant (R) in terms of MLB⁻²θ⁻¹?

Joule mole⁻¹ kelvin⁻¹ Signup and view all the answers

If the temperature of an ideal gas is increased, what happens to the root mean square velocity of the gas molecules?

It increases Signup and view all the answers

What is the relation between Boltzmann's constant (k) and universal gas constant (R) in terms of Avogadro number (NA)?

k = R / NA Signup and view all the answers

How does the molecular weight of an ideal gas affect its root mean square velocity at a given temperature?

It decreases with molecular weight Signup and view all the answers

What is the unit of specific gas constant (r) in terms of MLB⁻²θ⁻¹?

Joule per kilogram per kelvin Signup and view all the answers

What is the relationship between the molar gas constant R and the Boltzmann constant k?

R = 3k/2 Signup and view all the answers

At standard temperature and pressure, what is the number of molecules in 1 cm³ of a gas?

6.02 × 10^22 / 22400 Signup and view all the answers

What is the formula for the average kinetic energy per molecule of a gas at temperature T?

3RT/2 Signup and view all the answers

What is the effect of increasing the molecular weight of a gas on its root mean square velocity at constant temperature?

The root mean square velocity decreases. Signup and view all the answers

What is the relationship between Avogadro's number and the kinetic energy per molecule of a gas?

NA = RT / (2E) Signup and view all the answers

Kinetic Theory of Gases

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Questions and Answers

What is the condition for a planet or satellite to have an atmosphere?

What is the most probable speed of gas molecules in a given sample?

At absolute zero temperature, what is the value of rms speed of molecules?

What is the relationship between the rms speed, average speed, and most probable speed of gas molecules?

What is the formula to calculate the average speed of gas molecules?

What is the effect of increasing molecular weight on the root mean square velocity of gas molecules?

What is the relationship between the root mean square velocity of gas molecules and temperature?

What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

What is the effect of increasing pressure on the root mean square velocity of gas molecules, if the temperature remains constant?

Why does the Moon have no atmosphere?

What is the effect of temperature on the root mean square velocity of molecules?

At absolute zero degree temperature, what is the state of gas molecules?

What is the relationship between the root mean square velocity of molecules and the temperature?

When the temperature is increased from 27°C to 127°C, what is the effect on the root mean square velocity of molecules?

What is true about the root mean square velocity of different ideal gases maintained at the same temperature?

What is the relationship between the kinetic energy of gas molecules and their root mean square velocity?

If the molecular weight of a gas is increased, what is the effect on the root mean square velocity of its molecules?

At the same temperature, what is the relationship between the number of molecules of two different gases?

What is the unit of Avogadro's number?

At S.T.P., what is the volume occupied by one mole of any gas?

What is the unit of universal gas constant (R) in terms of MLB⁻²θ⁻¹?

If the temperature of an ideal gas is increased, what happens to the root mean square velocity of the gas molecules?

What is the relation between Boltzmann's constant (k) and universal gas constant (R) in terms of Avogadro number (NA)?

How does the molecular weight of an ideal gas affect its root mean square velocity at a given temperature?

What is the unit of specific gas constant (r) in terms of MLB⁻²θ⁻¹?

What is the relationship between the molar gas constant R and the Boltzmann constant k?

At standard temperature and pressure, what is the number of molecules in 1 cm³ of a gas?

What is the formula for the average kinetic energy per molecule of a gas at temperature T?

What is the effect of increasing the molecular weight of a gas on its root mean square velocity at constant temperature?

What is the relationship between Avogadro's number and the kinetic energy per molecule of a gas?

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