BOYLE’S LAW

by • 10/09/2013 • GeneralComments (0)486

BOYLE’S LAW

INTRODUCTION:

This law was presented by Robert Boyle in 1660 in which he explained relation of volume of a gas and external pressure.

STATEMENT:

According to Boyle’s law “For the given mass of a gas, the volume of a gas is inversely proportional to the pressure, at constant temperature”.

MATHEMATICAL REPRESENTATION:

Consider a gas confined in a container with volume “V” & Temperature “T” while the external pressure is “P”.

V ∞

1

P

 

V = constant x

1

P

 

V = K x

1

P

 

   PV =    K Boyles  ————– (i)

 

SECOND STATEMENT:

According to eq (i) we can also state Bale’s law as,

The product of the pressure and volume of a gas is always constant if temperature is kept constant.

 

GENERAL FORM OF BOYLE’S LAW:

Consider gas present in a container with pressure Pi and volume V1. When the pressure changes to P2 its volume also changes to V2.

Initially:

V ∞

1

P

V1

1

P1

V1∞ CONSTANT x

1

P1

V1 = K

1

P1

P1V1 =

K

——————– (A)

 

Finally:

 

V ∞

1

P

V ∞

1

P2

 

V = constant x

1

P2

 

V = K x

1

P2

 

   P2V2 =    K   ————– (B)

By comparing eq A and B

P1V1       = P2V2

 

 

GRAPH OF BOYLE’S LAW:

The graph between volume and pressure is a hyperbolic curve while the graph between the volume and reciprocal of pressure (1/P) is a straight line that is:

 Graph

 

 

EXPLANATION

According to KMT

“There are large spaces present between molecules of gases. On the application of external pressure these molecules become closer to each other so that the volume of gas decreases. In small volume the internal pressure of gas is increased.

 

LIMITATION BOYLE’S LAW:

Boyle’s law can’t be applicable at very high pressure because under such condition gas is converted in to liquid state.

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