Boyle's Law - Graphical Representation and Application | Chemistry Class 11

Chemistry | Notes
Boyle’s Law with Graphical Representation and Its Application

Class: 11

The Robert Boyle (1662) was the founder of this law. He states that temperature remaining constant in a volume of given mass is of gas is inversely proportional to pressure exerted by it. 

If ‘v’ be the volume of gas and ‘p’ be the pressure then, 

v α (1 / p) [When n, t are constant] 

v = (k / p) [Where ‘k’ is a constant] 

vp = k ------- (i) 

Where, k is the proportionality constant which value depends upon amount of gas and temperature. 

If v1, p1 be the initial volume and pressure respectively of fixed mass of gas and v2, p2 be the final volume and pressure of that mass of gas at constant temperature. 

Then, the equation (i) can be rewritten as, 

P1 v1 = k ---------- (ii) [Initial State] 

P2 v2 = k ---------- (iii) [Final State] 

Now, from equation (ii) and (iii), we have, 

P1 v1 = p2 v2 

Hence, In Boyle’s law, product of pressure and volume remain constant of constant temperature. 

Graphical Representation 

1) A plot of pressure vs. Volume 

If volume of fixed mass of gas plotted against pressure at constant temperature, the hyperbolic curve is obtained in which pressure and volume remain constant at each temperature.

1) A plot of volume vs. reciprocal of pressure (1/p)

If we plot v vs. 1/p then we get a straight line passing through origin. This slop of which gives constant value and equal to pv.

1) A plot pf pv vs. v or p

If we plot pv vs. p or v then a straight line parallel to x-axis will be obtained which show pv is independent of p or v.

Significant or Application of Boyle’s law

Boyle’s law has great practical significant for mountain climber or passenger of aeroplane, as the altitude increase then volume of air increases due to decrease in pressure. Thus if we in held in this air we feel suffocation due to insufficient oxygen. 

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