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| The Boyle’s Law |
Example: Boyle’s law and Charles’s
law.
The Boyle’s Law
Introduction: In
since 1662 Robert Boyle proposed a law between the relationship of volume and
pressure. This Boyle's law is also called the Boyle Mariotte law. This experimental
Gas Law explains that How the pressure of the Gas tends to decrease/reduces when
volume of the gas increases.
Statement no.1: This Law states that “At
constant temperature the volume of the given mass of a gas is inversely
proportional to the applied pressure”.
Statement
no.2: The
second statement of this Law states that “The
product of volume and pressure at constant temperature remains same”.
Mathematically
.png "Mathematically")
Where P is pressure, V is volume and K is
proportionality constant of Boyle’s law, P1V1 represent
the initial pressure and volume of a gas respectively and P2V2 represent
the final pressure and volume of a gas respectively.
Experimental Verification of Boyle’s Law
At a constant temperature if we double or
triple the pressure for the given mass of gas by increasing mercury to the open
end of manometer then its volume will be decrease by 0.5, 0.33 and so on to its
original volume.
Experiment No.1
Data:
V1 = 100ml
P1
= 200mm
As P1
V1 = Constant
Putting values
200(100) = 20000 = Constant
Experiment No.2
Data:
V2 = 50ml
P2 = 400mm
As P2
V2 = Constant
Putting values
400(50) = 20000 = Constant
Graphical representation of Boyle’s law
It is represented in two ways graphically
1- Pressure versus
(VS) Volume: If we plot a graph paper between
pressure and volume a curved line will be obtained which shows an inversely
proportionally relation between pressure and volume.
2-
Pressure
versus (VS) Pressure × Volume: If
we plot a graph paper between pressures versus pressure × volume a straight
line will be obtained parallel to the pressure axis which shows inversely
proportionally relation between Pressures versus pressure × volume.
