Chapter 6, Problem 6.79AP

(a)

Interpretation Introduction

Interpretation:

The change in volume of the balloon has to be given when the balloon floats to a higher altitude.

Concept Introduction:

Boyle’s Law:

At constant temperature, the pressure and the volume of the gas are inversely related.

  $\text{PV=K}$

Where P is pressure of the gas at constant temperature.

V is volume of the gas at constant temperature.

K is the constant.

(b)

Interpretation Introduction

Interpretation:

The change in volume of the balloon has to be given when the balloon is placed in bath of liquid nitrogen at ${\text{-196}}^{\text{o}}\text{C}\text{.}$

Concept Introduction:

Gay Lussac’s Law:

At constant volume, the temperature and the pressure of the gas are proportionally related.

  $\frac{\text{P}}{\text{T}}\text{=K}$

Where P is the pressure of the gas.

T is the temperature of the gas in Kelvin.

K is the constant.

The temperature or the pressure of the gas can be calculated using the relation,

  $\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}$

Where ${\text{P}}_{\text{1}}\text{\&}{\text{T}}_{\text{1}}$ are the pressure and temperature of the gas at initial state.

${\text{P}}_{\text{2}}\text{\&}{\text{T}}_{\text{2}}$ are the volume and temperature of the gas at final state.

(c)

Interpretation Introduction

Interpretation:

The change in volume of the balloon has to be given when the balloon is placed in hyperbaric chamber.

Concept Introduction:

Refer to part (a).

(d)

Interpretation Introduction

Interpretation:

The change in volume of the balloon has to be given when the balloon is heated inside a microwave.

Concept Introduction:

Refer to part (b).