Grade 8

Grade 8


Gases and Gas Laws


Gases are one of the fundamental states of matter, along with solids and liquids. In this topic, we'll learn what gases are, how they behave, and the laws that govern their behavior. We'll take a closer look at how gases differ from other states of matter, their unique properties, and the important gas laws that scientists use to predict their behavior.

What are gases?

Gases are a state of matter that consists of tiny particles called atoms or molecules that are widely dispersed and move around freely. Unlike solids, which have a definite shape and volume, gases have neither of these. The molecules in gases are in constant motion, moving in straight lines until they collide with each other or with the walls of their container.

Properties of gases

Gases exhibit many unique properties. Here are some of the most important properties:

  1. Compressibility: Gases are easily compressible because their particles are far apart. When we apply pressure, the particles come closer and the volume of the gas decreases.
  2. Expandability: Gases expand to fill the available space. This means they take on the shape and volume of their container.
  3. Low Density: Gases have much lower density than solids and liquids because their particles are spread out.
  4. Diffusivity: Gases can diffuse, that is, particles can move from an area of high concentration to an area of low concentration.

Visual Example 1: Motion of Gas Particles

Let's imagine how gas particles move:


    
    
    
    
    
    
    
    
    
    

Gas Laws

Scientists have developed several laws that describe how gases behave. The most important of these are Boyle's Law, Charles' Law, and the Ideal Gas Law. Let's take a look at each of these in detail.

Boyle's law

Boyle's law states that the pressure of a gas is inversely proportional to its volume when the temperature remains constant. This means that if you increase the pressure, the volume decreases, and vice versa, provided there is no change in temperature.

The formula for Boyle's law is:

 P_1 cdot V_1 = P_2 cdot V_2

Here:

  • P_1 is the initial pressure
  • V_1 is the initial volume
  • P_2 is the final pressure
  • V_2 is the final volume

Lesson Example 1: Boyle's Law

If a gas occupies a volume of 2 litres at 1 atm pressure, what will be its volume if the pressure is increased to 2 atm, assuming the temperature remains constant?

    Use of Boyle's Law: 
    P 1 V 1 = P 2 V 2
    
    Let P 1 = 1 atm, V 1 = 2 L, and P 2 = 2 atm, solve for V 2 :
    
    (1 atm)(2 L) = (2 atm)(V 2 )
    V 2 = 1 L

Charles's law

Charles' law states that the volume of a gas is directly proportional to its temperature in Kelvin, provided the pressure remains constant. If the temperature increases, the volume increases and vice versa.

The formula for Charles's law is:

 frac{V_1}{T_1} = frac{V_2}{T_2}

Here:

  • V_1 is the initial volume
  • T_1 is the initial temperature in Kelvin
  • V_2 is the final volume
  • T_2 is the final temperature in Kelvin

Lesson Example 2: Charles's Law

The volume of a gas at 300 K is 3 litres. Assuming constant pressure, what will be its volume at 450 K?

    Use of Charles's Law: 
    v 1 /t 1 = v 2 /t 2
    
    Let V 1 = 3 L, T 1 = 300 K, T 2 = 450 K, solve for V 2 :

    (3 L)/300 K = V 2 /450 K
    V 2 = 4.5 L

Ideal Gas Law

The ideal gas law provides the relationship between pressure, volume, temperature, and the number of moles of a gas. It combines several gas laws into one formula, and is represented as:

 PV = nRT

Where:

  • P is the pressure
  • V is the volume
  • n is the number of moles of gas
  • R is the ideal gas constant (8.314 J/mol)
  • T is the temperature in Kelvin

Lesson Example 3: Ideal Gas Law

Calculate the volume occupied by 1 mole of an ideal gas at standard temperature (273 K) and pressure (1 atm).

    Use of Ideal Gas Law: 
    PV = nRT
    
    Let P = 1 atm, n = 1 mol, R = 0.0821 L atm/mol K, T = 273 K, solve for V:

    V = nRT/P
    V = (1 mol)(0.0821 L atm/mol K)(273 K)/(1 atm)
    V ≈ 22.4 L

Visual Example 2: Boyle's Law Change in Volume

Imagine compressing a cylinder of gas:


    
    
    
    Initial volume
    Compressed

Summary

To understand gases and how they behave, it is important to understand several basic concepts and principles. The properties of gases, such as compressibility and diffusivity, make them very different from solids and liquids. Gas laws such as Boyle's law, Charles' law, and the ideal gas law help us predict how gases will behave under different conditions. By understanding these laws and their applications, we can predict the changes in pressure, volume, and temperature of gases under different conditions.

These concepts are foundational to studying more advanced topics in chemistry and are applicable in real-world scenarios, including weather forecasting, designing air-powered devices, and even understanding how our lungs expand and contract when we breathe.


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