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Gas Laws

Last Updated : 17 Apr, 2024
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Gas Laws, When the conditions are normal, all gases have similar behaviour. However, even slight changes in physical conditions such as pressure, temperature, or volume cause a deviation. The behaviour of gases is studied using gas laws. A gas's state variables, such as pressure, volume, and temperature, reveal its real nature. As a result, gas laws are the relationships that exist between these variables. Let's learn more about the crucial gas rules!

Table of Content

  • What Are the Gas Laws?
  • Gas Laws
  • Gas Law Formula Table
  • Problems Related to Gas Law
  • Application of Gas Laws
  • Characteristics of an Ideal Gas

What Are the Gas Laws?

The gas laws are a set of rules that control the behaviour of gases by establishing correlations between the following variables:

  • The amount of space occupied by gas.
  • The force that a gas exerts on the container's walls.
  • The gas's absolute temperature.
  • The quantity of a gaseous material (or the number of moles of gas).

All gases behave similarly under ordinary conditions. When the physical parameters related to the gas (such as temperature, pressure, and volume) are changed, alterations in their behaviour occur. The gas laws, which were named after the scientists who discovered them, essentially describe the behaviour of gases.

Gas Laws

In the late 18th century, a series of gas laws were formulated by various scientists, and the laws are named after them. Here are the principal gas laws:

  • Boyle’s Law: Describes the inverse relationship between the pressure and volume of a gas at constant temperature.
  • Charles’s Law: States that the volume of a gas is directly proportional to its absolute temperature, assuming pressure remains constant.
  • Gay-Lussac’s Law: Explains that the pressure of a gas is directly proportional to its absolute temperature when volume is kept constant.
  • Avogadro’s Law: Indicates that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of the gas.
  • Combined Gas Law: Integrates the previous three laws to relate pressure, volume, and temperature. The Ideal Gas Law further incorporates the molar amount of the gas into this relationship.

Under typical conditions, gases behave similarly; however, their behaviors can differ when conditions such as temperature, pressure, and volume change. These gas laws provide a foundational understanding of how gases behave under different conditions and are key in both academic study and practical applications. The laws are summarized and explored in depth, along with additional underlying principles.

When the conditions are normal, all gases exhibit comparable behaviour. However, a little change in physical variables like as pressure, temperature, or volume causes a divergence. Gas laws are an examination of the behaviour of gases. A gas's state variables, such as pressure, volume, and temperature, reveal its true nature. As a result, gas laws are relationships between these variables.

Boyle’s Law

At constant temperature, Boyle's law describes the relationship between a gas's pressure and volume. So, according to Boyle's law, doubling the pressure reduces the volume of a gas by half at a constant temperature. The explanation for this is the intermolecular force that exists between the molecules of a gaseous substance. Because of the distributed molecules, a gaseous substance fills a larger volume of the container in its free condition. When pressure is applied to a gaseous medium, the molecules move closer together and take up less space. In other words, the applied pressure is proportional to the density of the gas. The volume of a gas is inversely proportional to its pressure under constant temperature. Its formula is as follows:

PV=k1

Boyle's Law can be used to calculate the current pressure or volume of a gas and is also written as

P1V1=P2V2

Charle’s Law

In 1787, Jacques Charles studied the impact of temperature on the volume of a gaseous substance under constant pressure. He conducted this research to better understand the technology behind hot air balloon flights. According to Charle's law, the volume of a gas in a closed system with constant pressure is directly proportional to the temperature (in Kelvin). This means that as the temperature rises, the volume rises, and as the temperature falls, the volume falls. This law essentially outlines the relationship between the temperature and volume of a gas. Charle's law can be stated mathematically as;

V1 / T1 = V2 / T2

Gay-Lussac Law

The Gay-Lussac equation expresses the relationship between temperature and pressure at constant volume. The law asserts that for a particular gas, the pressure is directly proportional to the temperature at a constant volume. When you heat up a gas, the molecules gain energy and travel quicker. When the molecules are cooled, they slow down and the pressure lowers. The Gay-Lussac law, which is mathematically written as; can be used to determine the change in temperature and pressure.

P1 / T1 = P2 / T2

Avogadro’s Law

According to Avogadro's law, if the gas is an ideal gas, the system has the same number of molecules. The law also indicates that if the volume of gases is equal, the number of molecules will be the same as the ideal gas only when the volume is identical. This statement can be stated numerically as

V1 / n1 = V2 / n2

Where V denotes the volume of an ideal gas and n denotes the number of gas molecules in the preceding equation. The temperature in this location is measured on the Kelvin scale. Because the volume here is constant, the graph for Gay-Law Lussac's is referred to as an isochore.

Avogadro’s Law

Amedeo Avogadro merged the conclusions of Dalton's Atomic Theory with Gay Lussac's Law in 1811 to create the Avogadro's Law, which is an essential Gas law. Avogadro's law states that under constant temperature and pressure, the volume of all gases equals an equal number of molecules. In other words, under constant temperature and pressure, the volume of any gas is directly proportional to the number of molecules in that gas.

The previous gas laws provide an overview of the many properties of gases at various temperatures, pressures, volumes, and masses. These laws may appear insignificant, but they play a significant role in our daily lives. The difference in gaseous behaviour under altered conditions can affect everything from respiration to hot air balloons and automobile tyres.

Combined Gas Law

The combined gas law, also known as a general gas equation, is formed by merging three gas laws: Charle's law, Boyle's law, and Gay-Lussac law. The law describes the relationship between temperature, volume, and pressure for a given amount of gas. If we want to compare the same gas in different situations, the law can be expressed as follows:

(P1 * V1) / T1 = (P2 * V2) / T2 

Ideal Gas Law

The ideal gas law, like the combined gas law, is a synthesis of four separate gas laws. Avogadro's law is applied here, and the combined gas law is transformed into the ideal gas law. This law connects four different variables: pressure, volume, the number of moles or molecules, and temperature. Essentially, the ideal gas law describes the relationship between the four factors listed above. The ideal gas law is stated mathematically as;

PV=nRT

where, V = volume of gas, T = temperature of the gas, P = pressure of the gas, R = universal gas constant and n denotes the number of moles.

Check: Behavior of Gas Molecules

Gas Law Formula Table

Gas LawFormulaDescription
Ideal Gas LawPV = nRTRelates pressure, volume, temperature, and number of moles of gas.
Avogadro’s LawV / n = constantAs the amount of gas increases, so does its volume.
Boyle’s LawP1V1 = P2V2At constant temperature, increasing pressure decreases volume.
Charles’s LawV1/T1 = V2/T2At constant pressure, volume is directly proportional to temperature.
Gay-Lussac LawP1/T1 = P2/T2At constant volume, pressure increases with temperature.

Check:

  • Kinetic Theory of Gases
  • Gay-Lussac's Law

Problems Related to Gas Law

Question 1: What are gas laws?

Answer:

A gas's state variables, such as pressure, volume, and temperature, reveal its true nature. As a result, gas laws are relationships between these variables.

Question 2: What is the effect of temperature on a gas?

Answer:

The state variables of a gas, such as pressure, volume, and temperature, reflect the true nature of the gas. As a result, gas laws are based on the interactions of these variables.

Question 3: What is Avogadro's law?

Answer:

According to Avogadro's law, if the gas is an ideal gas, the system has the same number of molecules. The law also indicates that if the volume of gases is equal, the number of molecules will be the same as the ideal gas only when the volume is identical.

Question 4: Name the four variables in ideal gas law?

Answer:

The four distinct variables are pressure, volume, the number of moles or molecules, and temperature.

Question 5: What is the relation between temperature and volume in gases?

Answer:

When the temperature increases, the volume increases, and when the temperature falls, the volume falls. Thus, they are directly proportional to each other.

Application of Gas Laws

  • When the physical conditions of the environment change, the behaviour of gas particles deviates from their regular behaviour. The numerous laws known as gas law can be used to investigate these changes in gas behaviour. 
  • The gas laws have been around for a long time, and they greatly assist scientists in determining quantities, pressure, volume, and temperature when it comes to gas. 
  • Furthermore, the gas law, as well as newer variants, are used in a variety of practical applications using gas. For example, measurements of respiratory gases, tidal volume, and vital capacity, among other things, are taken at room temperature, despite the fact that these exchanges occur in the body at 37 degrees Celsius. 
  • The law is also frequently utilised in thermodynamics and fluid dynamics. It can be employed in weather prediction systems.

Check: Applications of Ideal Gas Law

Characteristics of an Ideal Gas

  • Ideal gases exhibit constant and random linear motion.
  • The volume occupied by the particles of an ideal gas is minimal due to their small size.
  • There are no intermolecular forces between gas particles; they only undergo elastic collisions with each other and the container walls.
  • The kinetic energy of gas particles is directly proportional to their absolute temperature.
  • Ideal gases consist of numerous identical particles (atoms or molecules) that are considered perfectly hard, small spheres.
  • The volume of individual gas molecules is negligible compared to the space between them, leading to their treatment as point masses in calculations.

Check:

  • Derivation of Ideal Gas Equation
  • Gas Pressure Formula

Next Article
Gas Laws

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Article Tags :
  • School Learning
  • Class 11
  • Chemistry
  • Chemistry-Class-11

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    Law of Chemical Equilibrium and Equilibrium Constant
    During a chemical process, chemical equilibrium refers to the state in which the concentrations of both reactants and products have no tendency to fluctuate over time. When the forward and reverse reaction rates are equal, a chemical reaction is said to be in chemical equilibrium. The state is known
    8 min read
    Applications of Equilibrium Constants
    When a chemical process reaches equilibrium, the equilibrium constant (usually represented by the symbol K) provides information on the relationship between the products and reactants. For example, the equilibrium constant of concentration (denoted by Kc) of a chemical reaction at equilibrium can be
    6 min read
    What is the Relation between Equilibrium Constant, Reaction Quotient and Gibbs Energy?
    A scientist was observing a reaction and at a certain point and found the concentration of reactant is equal to the concentration of product and after some time and observed color of reactant is changing, the scientist found concentration of products is greater than the concentration of reactants, f
    8 min read
    Ionic Equilibrium
    Reactants and products coexist in equilibrium, therefore reactant conversion to product is never greater than 100%. Equilibrium reactions may entail the breakdown of a covalent (non-polar) reactant or the ionisation of ionic compounds in polar solvents into their ions. This part will teach us about
    5 min read
    Acids, Bases and Salts
    Acids, Bases, and Salts are the main chemical compounds that exist in our surroundings. Acids, Bases, and Salts are compounds that occur naturally and can also be created artificially. They are found in various substances including our food. Vinegar or acetic acid is used as a food preservative. Cit
    15+ min read
    Ionization of Acids and Bases
    Ionization of a compound in Chemistry is the process by which neutral molecules are divided into charged ions in a solution. According to the Arrhenius Theory, acids are substances that dissociate in an aqueous medium to produce hydrogen ions, H+ ions, and bases are substances that dissociate in an
    6 min read
    Importance of pH in Everyday Life
    Acids, bases, and salts have an impact on chemistry as well as our daily lives. Acids have a sour flavour (the word acid comes from the Latin word ‘acere’ which means ‘sour’), bases have a bitter taste, while salts themselves have a salty taste. Citric acid is found in fruits such as oranges and lem
    13 min read
    Strength of Acids
    Acids are a molecule or other species which can donate a proton or accept an electron pair in reactions. When acids react with H2O, they create hydrogen ions; the strength of an acid is determined by the concentration of hydrogen ions in a solution. A higher number of hydrogen ions indicates that th
    6 min read
    Buffer Solution
    Buffer Solution is a special aqueous solution that resists the change in its pH when some quantity of acid and Base is added. Many fluids, such as blood, have specific pH values of 7.14, and variations in these values indicate that the body is malfunctioning. The change in pH of Buffer Solutions on
    10 min read
    Solubility Equilibria
    The word "solubility product" refers to inexpensively soluble salts. It is the greatest product of the molar concentration of the ions (raised to their appropriate powers) produced by compound dissociation. The solubility product is constant at any given temperature. The lower the solubility product
    5 min read

    Chapter 8 Redox Reactions

    Oxidation and Reduction Reactions
    Oxidation and Reduction reactions are simply called Redox reactions. There are chemical reactions in which the oxidation number of the chemical species involved in the reaction changes. Oxidation and reduction Reactions involve a wide variety of processes. For example, oxidation-reduction reactions
    8 min read
    Oxidation Number | Definition, How To Find, Examples
    Oxidation number is defined as the total number of electrons that an atom either gains or loses to form a chemical bond with another atom.  Let's learn about oxidation number in detail, including its rules and steps to calculate it with the help of examples. Table of Content Oxidation Number Definit
    13 min read
    Decomposition Reaction
    Have you ever wondered what happens when compounds break apart into simpler substances? Or how energy is released, and new compounds are formed? The answers to these questions lie in the concept of Decomposition Reaction. Decomposition Reactions are a key concept in the understanding of the chemical
    7 min read
    Balancing Redox Reactions
    Redox Reactions are the reaction in which oxidation and reduction occur in the same reaction. Balancing redox reactions is the process in which we balance redox reaction equations using various methods. There are generally two methods that are used to balance redox reactions that include, Oxidation
    15+ min read
    Redox Reactions and Electrode Processes
    Electrode Potential and Standard Electrode Potential are key concepts in the field of electrochemistry which is the branch of chemistry that deals with relationships between electric potential differences and observable chemical change. Electrode Potential is also used extensively in the development
    8 min read
    Effects of Oxidation Reactions in Everyday Life
    The addition of an oxygen atom to a compound is referred to as oxidation. This process's inverse is known as reduction and involves the removal of an electron. Biological oxidation is a biological process in which electrons are lost, as opposed to reduction, which involves the gain of electrons. How
    9 min read

    Chapter 9 Hydrogen

    Dihydrogen - Structure, Properties and Applications
    The lightest element is hydrogen. Under normal conditions, hydrogen is a gas composed of diatomic molecules with the formula H2. It is colourless, odourless, non-toxic, and extremely flammable. Hydrogen is the most abundant chemical element in the universe, accounting for roughly 75% of all normal m
    7 min read
    Isotopes of Hydrogen
    Isotopes of an atom are variants of the same atom but with different mass numbers. That is if two atoms have the same atomic number but different mass numbers then they are called the isotopes of one another. Various examples of the isotopes are the isotopes of hydrogen, we have three different isot
    10 min read
    Hydrides
    Hydride in Chemistry is the name of a compound containing Hydrogen Anion. Hydrides are chemical compounds with one atom of hydrogen and an extra atom. Hence, they are an anion of Hydrogen. An anion is a species that has extra electrons and thus exhibits a negative charge. Thus, hydride (hydrogen ani
    6 min read
    Structure and Properties of Water
    Water is a valuable natural resource. Water is essential for the survival of all living things. We can't imagine a world without water. Water is required by animals and plants to complete their daily metabolic activities. Water is required by plants to synthesize their food through the photosynthesi
    9 min read
    Chemical Formula of Water - Structure, Properties, Uses, Sample Questions
    Hydrogen (H) has unique kind properties that are not like some other component on our planet, close to 66% of our Universe's mass is made out of this unique component. It is both electropositive as well as electronegative, as it structures hydrogen particles (H+)as well as hydride particles (H-). Hy
    4 min read
    Dihydrogen as Fuel - Definition, Uses, Examples
    Hydrogen is the first element on the modern periodic table. It has the simplest atomic structure as compared to all other elements. In atomic form, it has one proton and one electron. On the other hand, in elemental form, it exists as a diatomic (H2) molecule called dihydrogen. If Hydrogen loses its
    7 min read

    Chapter 10 S-block Elements

    Alkali Metals
    Alkali metals are the first group of s-block elements that are found on the leftmost side of the periodic table. Alkali metals are the most electropositive elements on the periodic table as they easily lose electrons. These metals formed various useful compounds with halides, oxygen, and sulfur. Alk
    11 min read
    Characteristics of the Compounds of Alkali Metals
    There are a large number of elements around us having different properties and different uses based on those properties. For using these elements, properties are important so there should be some table to group these elements. This table is known as a periodic table which is created by using the wor
    6 min read
    Anomalous Behavior of Lithium and Beryllium
    Elements are arranged in a periodic table row-wise and column-wise according to similarities in their chemical and physical properties. The elements in the first column are known as Group 1 elements which have the following elements lithium, sodium, potassium, rubidium, Caesium and Francium. All the
    8 min read
    Some Important Compounds of Sodium
    Sodium is a soft metal, it is the eleventh element in the periodic table. It is represented by the Na symbol and the atomic number of sodium is 11 it belongs to the family of s-block elements in the periodic table. Sodium is the sixth most abundant element. Its amount in the earth's crust is nearly
    7 min read
    What is Sodium Chloride? - Definition, Preparation, Properties, Uses
    Salt's chemical name is sodium chloride. Sodium is an electrolyte that regulates your body's water content. Sodium is also involved in nerve impulses and muscle contractions. Sodium chloride is a medication used to treat or prevent sodium loss caused by dehydration, excessive sweating, or other fact
    6 min read
    Alkaline Earth Metals
    Alkaline Earth Metals are Group 2 elements which includes a collection of elements Beryllium, Magnesium, Calcium, Barium, Strontium, and Radium, which are soft silver metals with a less metallic quality than Group 1 alkali metals. All the heavier metals in Group II such as Ca, Sr, Ba, and Ra, share
    11 min read
    Characteristics of the Compounds of Alkaline Earth Metals
    All the elements that exist in nature are arranged in a periodic table after several years of research work, these are placed in groups and rows based on some predefined criteria. Some elements may not follow the criteria but still, they are placed in the same column or group due to their similariti
    8 min read
    Anomalous Behavior of Lithium and Beryllium
    Elements are arranged in a periodic table row-wise and column-wise according to similarities in their chemical and physical properties. The elements in the first column are known as Group 1 elements which have the following elements lithium, sodium, potassium, rubidium, Caesium and Francium. All the
    8 min read
    Some Important Compounds of Calcium
    Calcium is a reactive alkaline earth metal that when exposed to the air generates a black oxide-nitride coating. Its physical and chemical properties are most similar to those of strontium and barium, its heavier homologues. After iron and aluminium, it is the fifth most abundant element in the Eart
    7 min read
    Plaster of Paris
    Plaster of Paris is a well-known chemical compound that is widely used in sculpting materials and gauze bandages. While we have seen numerous applications of this substance in our daily lives, Plaster of Paris is a white powdered chemical compound that is hydrated calcium sulphate that is typically
    8 min read
    Biological Importance of Alkali and Alkaline Earth Metals
    Elements are arranged in a periodic table row-wise and column-wise according to similarities in their chemical and physical properties. The elements in the first column are known as Group 1 elements which have the following elements lithium, sodium, potassium, rubidium, Caesium and Francium. All the
    10 min read
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