Chapter 7.3, Problem 7.8P

Interpretation Introduction

(a)

Interpretation:

The initial temperature, pressure and volume of the gas is 25°C, 1.0 atm and 0.50 L respectively. If the final temperature is 310 K, the final pressure of the system is to be determined.

Concept Introduction:

Gay-Lussac's Law- It defines the relationship between the temperature of the gas and the pressure of that gas at the constant volume. According to this law, at a constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas in kelvin.

Mathematically,

  $\begin{array}{l}P\propto T\\ \text{or }\frac{P}{T}=\text{constant}\end{array}$

Interpretation Introduction

(b)

Interpretation:

The initial volume, temperature and pressure of the gas is 0.50 L, 25°C and 1 atm respectively. If the final temperature is 150 K, the pressure of the system needs to be determined.

Concept Introduction:

Gay-Lussacs' Law- It defines the relationship between the temperature of the gas and the pressure of that gas at the constant volume. According to this law, at a constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas in kelvin.

Mathematically,

  $\begin{array}{l}P\propto T\\ \text{or }\frac{P}{T}=\text{constant}\end{array}$

Interpretation Introduction

(c)

Interpretation:

The initial temperature, volume and pressure of the gas is 25°C, 0.50 L and 1.0 atm respectively. The final pressure of the system is to be determined, if the final temperature is $50.0°\text{C}$.

Concept Introduction:

Gay-Lussac's Law- It defines the relationship between the temperature of the gas and the pressure of that gas at the constant volume. According to this law, at a constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas in kelvin.

Mathematically,

  $\begin{array}{l}P\propto T\\ \text{or }\frac{P}{T}=\text{constant}\end{array}$

Interpretation Introduction

(d)

Interpretation:

The initial temperature, volume and pressure is 25°C, 0.50 L and 1.0 atm respectively. If the final temperature is 200.0 °C, the final pressure of the system is to be determined.

Concept Introduction:

Gay-Lussacs' Law- It defines the relationship between the temperature of the gas and the pressure of that gas at the constant volume. According to this law, at a constant volume, the pressure of a given amount of gas is directly proportional to the temperature of the gas in kelvin.

Mathematically,

  $\begin{array}{l}P\propto T\\ \text{or }\frac{P}{T}=\text{constant}\end{array}$