Chapter 3, Problem 3D.16E

(a)

Interpretation Introduction

Interpretation:

Value of factor change in pressure and root mean square speed if gas is compressed into third of its original volume has to be determined.

Concept Introduction:

Root mean square speed is square root of average value of square of molecular speeds of molecules of gas. It includes molecular weight and temperature, both of which affect kinetic energy of a gas. It is denoted by $v_{\text{rms}}$. The expression for $v_{\text{rms}}$ is as follows:

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

Here,

$R$ is gas constant.

$T$ is absolute temperature of gas.

$M$ is molecular weight of gas.

(b)

Interpretation Introduction

Interpretation:

Value of factor change in pressure and root mean square speed if temperature of gas is reduced to $100\text{ K}$ has to be determined.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

Value of factor change in pressure and root mean square speed if helium gas is replaced by xenon has to be determined.

Concept Introduction:

Refer to part (a).