Derivation of Gay Lussac’s Law
It is known that the pressure of a gas is proportional to its temperature. This relation can be written as,
P ∝ T
Replacing the proportionality sign with constant k we get,
P = kt
The above equation is valid for all values of pressure and temperature.
Suppose a gas is exerting pressure P1 at a temperature T1. The equation that defines this situation is,
P1 = kT1
k = P1/T1……… (1)
The temperature of the gas changes to T2, which changes the pressure to P2. This can be expressed as,
P2 = kT2
k = P2/T2……… (2)
From (1) and (2) we get,
P1/T1 = P2/T2
This derives the Gay Lussac law for gases.
Gay Lussac’s Law
Gay Lussac’s is one of the Ideal gas laws that relates the pressure of the gas with its absolute temperature when its volume is kept constant. The basic statement of Gay Lussac’s Law is, the pressure produced by a gas is directly proportional to its temperature if mass and volume are kept fixed. Gay Lussac’s Law has wide application in sciences and also in our everyday life. Gay Lussac’s Law as the name suggests was given by the French chemist Joseph Gay-Lussac in the year 1808.
Table of Content
- What is Gay-Lussac’s Law?
- Gay Lussac’s Law Graph
- Gay Lussac’s Law Formula and Derivation
- Derivation of Gay Lussac’s Law
- Gay Lussac’s Law of Gaseous Volumes
- Examples of Gay Lussac’s Law
- Solved Examples on Gay Lussac’s Law
In this article, we’ll learn about Gay Lussac’s Law, its formula, derivation, and others in detail.