Derivation of the Ideal Gas Equation
Let P is the pressure exerted by the gas, V is the volume f the gas, and T be the Temperature.
According to Boyle’s Law,
P ∝ 1/V
V ∝ 1/P……(1)
According to Charles’ Law,
V ∝ T……..(2)
According to Avogadro’s Law,
When P and T are both constant, the volume of a gas is proportional to the number of moles of gas. i.e.
V ∝ n …….(3)
Compare equations (1), (2), and (3) as
V ∝ nT/P
PV = nRT
where
R is the Universal gas constant and it is value of 8.314 J/molK
Ideal Gas Law
The ideal gas law also called the general gas equation, is an equation that provides the relation among the various parameters of the gas i.e. they provide the relation among pressure(P), temperature(T), and Volume(V) of the gas. It is a combination of Charles’s law, Boyle’s Law, Avogadro’s law, and Gay-Lussac’s law. This law was first stated by the French physicist Benoit Paul Émile Clapeyron in 1834.
Table of Content
- What is Ideal Gas?
- Ideal Gas Laws
- Ideal Gas Law Units
- What is Ideal Gas Equation?
- Equation of Ideal Gas Law
- Derivation of the Ideal Gas Equation
- Ideal Gas Equation Units
- Absolute Temperature
- Relationship between Pressure and Temperature
- Solved Examples on Ideal Gas Law
Let’s learn about Ideal Gas Law and its derivation and others in detail.
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