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18 December 2014

The Charles’s Law

The Charles’s Law
The Charles’s Law


Introduction: In since 1787 Jacques Charles’s proposed a law between the relationship of volume and temperature. And it is the experimental Gas Law, which shows that how the gases tends to expand when they (gases) are heated.

Statement no.1: This Law states that “At constant Pressure the volume of the given mass of a gas is directly proportional to the absolute temperature”.

Statement no.2: The second statement of this Law states that “The ratio of volume to temperature at constant pressure remains same”.


Mathematically
Mathematically

Where V is volume, T is temperature and K is proportionality constant of Charle’s law, V1T1 represent the initial volume and temperature of a gas respectively and V2T2 represent the final volume and temperature of a gas respectively.

Experimental Verification of Charles’s Law


Let us consider a certain amount of gas enclosed in a having a moveable piston. The volume is 400 ml at 100K. If the temperature is double that is 200K then its volume will be double to 800 ml. It proves that  always remain the same.
Experimental Verification of Charles’s Law

Graphical representation of Charles’s Law

Related post


If we plot a graph paper between the volume of the gas and the temperature at a constant pressure then the straight line will be obtained. The length of the line will be touches – 273°C. At this temperature the volume of gases become zero which is impossible and this temperature can’t be achieved. That’s why the scientist started a new scale from here which is known as a Kelvin scale or absolute temperature scale or Absolute Zero.

Kelvin scale or Absolute temperature scale 


This absolute scale or Kelvin scale was introduced by Lord Kelvin to make the mathematical calculation easy because this scale does not have any negative sign and zero value. In this scale degree sign is also not used. This scale starts from OK which is equal to – 273°C which is known as absolute zero therefore sometimes it is called Absolute Zero scale.While working in this different formula is used to change temperature centigrade into kelvin and kelvin into centigrade is as follow
Kelvin scale or Absolute temperature scale


Change Temperature into Kelvin

T in K  =°C + 273
T in °C= K – 273 



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