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