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why can't we do deduction of gases from kinetic gas equation in gay lussac law

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Derivation of Gas Laws from Kinetic Theory of Gases

Subject: Physics

Home Grade 11 Physics Kinetic Theory Of Gases Kinetic Theory Of Gases

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Syllabus

Heat and Temperature

Thermal Expansion

Calorimetry

Change of State

Gases and Gas Laws

Kinetic Theory of Gases

Kinetic theory of gases

Average Kinetic Energy per Mole of the Gases and Root Mean Square Speed

Derivation of Gas Laws from Kinetic Theory of Gases

Hygrometry

Transfer of Heat

First Law of Thermodynamics

Second Law of Thermodynamics

Overview

This note provides an information on the derivation of gas laws from the kinetic theory of gases Boyles law from the kinetic theory of gases ,Charles law from the kinetic theory of gases and Dalton's law from the kinetic theory of gases .

Note

Things to remember

Derivation of Gas Laws from Kinetic Theory of Gases

Boyle's Law from Kinetic theory of gases

From kinetic theory of gases, we have

P=13MVc¯2

or,PV=13Mc¯2

Since C¯2∝T, if the temperature of the gas is kept constant, for given mass of a gas (i.e. M = constant),

PV=constant

i.e.p∝1V

It means pressure of the given mass of a gas is inversely proportional to it's volume at constant temperatures which is Boyle's law.

Charle's Law from Kinetic theory of gases

From kinetic theory of gases, we have

P=13MVc¯2

or,V=13MPc¯2

Since C¯2∝T, if the pressure of the gas is kept constant, for given mass of a gas, we have

v∝T

It means volume of the given mass of a gas is directly proportional to it's absolute temperature at a constant pressure which is Charle's law.

Explanation:

it is according to charles law