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6.3 Charle's Law

Jacques Charles, in 1787, formulated the relationship between the volume and temperature of a given mass of a dry gas at constant pressure called Charles' Law which states that "At constant pressure, the volume of a fixed mass of dry gas is directly proportional to the absolute temperature;

It can be mathematically expressed as

The magnitude of constant depends on pressure, mass and nature of a gas.

Charles' law is useful for calculating the volume of a gas at any required temperature if the volume at some other temperature is known by using the following equation.

V1 = T1

V2 = T2


Illustration of Charles' Law:

Click here to enlarge

A : Piston

B : Pressure gauge

C : Gas Molecule

D : Rubber cork

E : Vessel

F : Thermometer

Example :

A gas at constant pressure is kept at 1000C. On decreasing the temperature to 500C, the gas occupies a volume of 800 ml. Find the initial volume of the gas.

V1 = ? T1 = 1000C = 100 + 273 K = 373 K

V2 = 800 ml T2 = 500C = 50 + 273 K = 323 K

According to Charles' Law

Initial volume of the gas was 923.8 ml.

Index

6.1 The Gaseous States Properties
6.2 Boyle's Law
6.3 Charle's Law
6.4 Pressure - Temperature Law
6.5 Gay Lussac's Law
6.6 Avogadro's Law
6.7 Graham's Law of Diffusion
6.8 General Gas Equation

Chapter 7





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