Gay Lussac’s Law

Several scientists created gas laws around the end of the 18th century. Each gas rule is identified by the names of the scientists who proposed it. As a result, we now identify the following five key gas laws. 

The five gas laws are: 

• Boyle’s Law

• Charles Law

• Gay-Lussac’s Law 

• Avogadro’s Law 

• Combined Gas Law  

Boyle’s Law 

Boyle’s law determines the relationship between the volume and pressure of the gas.

Boyle’s Law formula

P1V1 = P2V2

P1 = first pressure

P2 = second pressure

V1 = first volume

V2 = second volume 

Charles’s Law 

It determines the relationship between the gas’s absolute temperature and volume occupied.

Charles’s Law formula

   PV = K 

   k ~   constant.

   P= Pressure.

   V= Volume.

Gay –Lussac’s Law 

Gay Lussac’s law is a law that provides the relationship between the pressure exerted by the gas on the container walls and absolute temperature related to the gas.

Gay-Lussac’s Law formula

 P1/T1=P2/T2.

P1 is the initial pressure

T1 is the initial temperature

P2 is the final pressure

T2  is the final temperature 

Avogadro’s Law 

It helps determine the relationship between the amount of the gaseous substance and the volume occupied by the gas.

Avogadro’s Law formula

V1/n1= V2/n2

Combined Gas Law

The combined gas law is also known as the ideal gas law, which can be obtained by combining the above four laws discussed, i.e., Charles law, Boyle’s law, Gay –Lussac’s law, and Avogadro’s law.

PV = nRT                                        

P = pressure

V = volume

n = amount of substance

R = Numerical Value of the Gas Constant

T = Temperature

This formula is known as an ideal gas formula.

Gay Lussac’s Law

Gay Lussac’s law of Thermodynamics state that when the volume is held constant, the pressure of the given mass of gas varies directly with the gas’s absolute temperature. The kinetic energy of the molecules of the gas increases, which in turn hits the walls of the container with greater force, resulting in greater pressure. Mathematically, it can be written as P/T=k. It is a special case of ideal law gas. 

This law is also commonly known as the Pressure Law or Amontons’s Law.

Gay Lussac’s Law formula

P∝T  (Volume constant)

Removing the proportionality-

P=kT     —(1)  

(here P= Pressure e

         k= constant

         T= Temperature)

For Ideal Gas Equation- 

PV=nRT       —(2)

Substituting the value of P from equation (1) to (2)-

kTV=nRT

k=nR/V

k∝1/V     —(3)

From the Gay Lussac’s Law formula, we see that when volume will increase and k(constant) will decrease.

The law can be written as follows for comparing the same substance under two different sets of conditions:

P1 T2  =  P2 T1

Mathematical Expression of Gay Lussac’s Law:

Gay-Lussac’s Law is a mathematical corollary of Boyle’s Law. It states that the pressure and temperature of a fixed volume of gas remain constant at a constant temperature, regardless of the amount of gas present. This means that the amount of gas does not affect the temperature or pressure of the gas in the container. This is sometimes simplified to “the pressure is the same in a closed container”, which is a slightly more accurate statement but not entirely correct.

In a paper published in 1805, Joseph-Antoine Gay-Lussac derived the following mathematical expression of Gay-Lussac’s Law to describe the relationship between the pressure and temperature of a gas in an idealized system: P = RT.

Application of Gas Laws

It is seen that during the season of summer, when both pressure and temperature seem to be high, a tire will be at risk of bursting due to the reason that it is being inflated with air. Another example can be seen that when we start climbing the hill, we feel some issue related to inhaling. What’s the reason behind it?

When the physical condition is altered with a change in environment, the gases particles’ behaviours also derive from their normal behaviour, and such alteration in the gas behaviour can be examined by reviewing the different gas laws. The concept of gas law is also used in studying fluid dynamics and thermodynamics along with weather forecast systems. In general words, we can say that Gas laws are used for comparing two different gases and also help in identifying the properties of the gas.

Conclusion:

The study of gases allows us to understand the matter at its most fundamental level: individual particles acting independently, nearly completely free of interactions and interference.