Chapter 5, Problem 5.118SP

(a)

Interpretation Introduction

Interpretation:

Using kinetic theory of gases, check whether a single molecule have a temperature or not.

Concept Introduction:

Kinetic theory of gases:

Gas consists of large number of particles

Particles make elastic collisions with each other and with walls of container.

There exist no external forces.

Particles, on average, separated by distances large compared to their diameters.

(b)

Interpretation Introduction

Interpretation:

(i) The root-mean-square speeds and average kinetic energies of the Helium both compared.

(ii) The frequency and force has to be compared.

Concept Introduction:

Root mean-square speed is the parameter to measure the speed of particles in a gas. M is the molecular mass of the molecule at temperature T, root mean-square speed (${\text{u}}_{\text{rms}}$) has to be calculate using the formula

${\text{u}}_{\text{rms}}\text{=}\sqrt{\frac{\text{3RT}}{\text{M}}}$

(c)

Interpretation Introduction

Interpretation:

The rms speeds of the atoms in the two flasks, frequency and the force with which the $He$ atoms collide with the walls of their containers should be compared.

Concept Introduction:

The main useful of the idea is in the study of the standard impact force during collisions.  Used for collisions, the mass and change in velocity are often willingly measured, other than the force during the collision is not.

Root mean-square speed is the parameter to measure the speed of particles in a gas. M is the molecular mass of the molecule at temperature T, root mean-square speed (${\text{u}}_{\text{rms}}$) has to be calculate using the formula

${\text{u}}_{\text{rms}}\text{=}\sqrt{\frac{\text{3RT}}{\text{M}}}$

(d)

Interpretation Introduction

Interpretation:

The given statement has to be valid.

Concept Introduction:

Root mean-square speed is the parameter to measure the speed of particles in a gas. M is the molecular mass of the molecule at temperature T, root mean-square speed (${\text{u}}_{\text{rms}}$) has to be calculate using the formula

${\text{u}}_{\text{rms}}\text{=}\sqrt{\frac{\text{3RT}}{\text{M}}}$