Chapter 2, Problem 2.70E

Interpretation Introduction

(a)

Interpretation:

The speed of sound in a gas is related to the value of γ:

$\mathrm{S}\mathrm{p}\mathrm{e}\mathrm{e}\mathrm{d} = \sqrt{\frac{\gamma RT}{M}}$

Where M is the molar mass of the gas. To tell whether the gas is CO or N₂ from measuring the speed of sound.

Concept introduction:

The heat capacity of the system between any two temperatures is defined as the quantity of heat required to raise the temperature from lower to higher temperature divide by the temperature difference. And if the mass of the system is one mole then the system of the heat capacity is called the molar heat capacity.

Interpretation Introduction

(b)

Interpretation:

The speed of sound in a gas is related to the value of γ:

$\mathrm{S}\mathrm{p}\mathrm{e}\mathrm{e}\mathrm{d}\mathrm{ }= \sqrt{\frac{\gamma RT}{M}}$

To calculate the speed of sound in CO₂ at 100 K and 500 K, using the low-temperature and high-temperature values of g, respectively.

Concept introduction:

The heat capacity of the system between any two temperatures is defined as the quantity of heat required to raise the temperature from lower to higher temperature divide by the temperature difference. And if the mass of the system is one mole then the system of the heat capacity is called the molar heat capacity.