Samacheer Kalvi solutions for Physics - Volume 1 and 2 [English] Class 11 TN Board chapter 9 - Kinetic Theory of Gases [Latest edition]

A particle of mass m is moving with speed u in a direction which makes 60° with respect to the x-axis. It undergoes elastic collision with the wall. What is the change in momentum in x and y direction?

A sample of an ideal gas is at equilibrium. Which of the following quantity is zero?

An ideal gas is maintained at constant pressure. If the temperature of an ideal gas increases from 100 K to 10000 K then the rms speed of the gas molecules

Two identically sized rooms A and B are connected by an open door. If the room A is air-conditioned such that its temperature is 4°C lesser than room B, which room has more air in it?

The average translational kinetic energy of gas molecules depends on ____________.

If the internal energy of an ideal gas U and volume V are doubled then the pressure ____________.

The ratio γ = `"C"_"p"/"C"_"v"` for a gas mixture consisting of 8 g of helium and 16 g of oxygen is ____________.

A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = `"C"_"p"/"C"_"v"`?

If the temperature and pressure of a gas is doubled the mean free path of the gas molecules ____________.

Which of the following shows the correct relationship between the pressure and density of an ideal gas at constant temperature?

A sample of gas consists of μ₁ moles of monoatomic molecules, μ₂ moles of diatomic molecules and μ₃ moles of linear triatomic molecules. The gas is kept at a high temperature. What is the total number of degrees of freedom?

If s_P and s_V denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then

Which of the following gases will have the least rms speed at a given temperature?

For a given gas molecule at a fixed temperature, the area under the Maxwell-Boltzmann distribution curve is equal to ____________.

The following graph represents the pressure versus number density for an ideal gas at two different temperatures T₁ and T₂. The graph implies

What is the microscopic origin of pressure?

What is the microscopic origin of temperature?

Why moon has no atmosphere?

Write the expression for rms speed, average speed and most probable speed of a gas molecule.

What is the relation between the average kinetic energy and pressure?

Define the term degrees of freedom.

State the law of equipartition of energy.

Define mean free path and write down its expression.

Deduce Charles’ law based on kinetic theory.

Deduce Boyle’s law based on kinetic theory.

Deduce Avogadro’s law based on kinetic theory.

List the factors affecting the mean free path.

What is the reason for the Brownian motion?

Write down the postulates of the kinetic theory of gases.

Derive an expression for the pressure exerted by a gas on the basis of the kinetic theory of gases.

Explain in detail the kinetic interpretation of temperature.

Describe the total degrees of freedom for monoatomic molecule, diatomic molecule and triatomic molecule.

Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.

Explain in detail the Maxwell Boltzmann distribution function.

Derive the expression for the mean free path of the gas.

Describe the Brownian motion.

A fresh air is composed of nitrogen N₂ (78%) and oxygen O₂ (21%). Find the rms speed of N₂ and O₂ at 20°C.

If the rms speed of methane gas in the Jupiter’s atmosphere is 471.8 ms⁻¹, shows that the surface temperature of Jupiter is sub-zero.

Calculate the temperature at which the rms velocity of a gas triples its value at S.T.P. (standard temperature T₁ = 273 K)

A gas is at temperature 80°C and pressure 5 × 10⁻¹⁰ Nm⁻². What is the number of molecules per m³ if Boltzmann’s constant is 1.38 × 10⁻²³ J K⁻¹

If 10²⁰ oxygen molecules per second strike 4 cm² of wall at an angle of 30° with the normal when moving at a speed of 2 × 10³ ms⁻¹, find the pressure exerted on the wall. (mass of one oxygen atom = 2.67 × 10⁻²⁶ kg)

During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ = `("C"_"P"/"C"_"V")`

Calculate the mean free path of air molecules at STP. The diameter of N₂ and O₂ is about 3 × 10⁻¹⁰ m

A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.

Estimate the total number of air molecules in a room of a capacity of 25 m³ at a temperature of 27°C.