Question
Give the different graphical representations of Boyle’s law.
✓
Answer
i. Graph of pressure (P) versus volume (V) of a gas at constant temperature:
If the pressure (P) is plotted against volume (V) at constant temperature, a curve is obtained.
![]()
https://pg-data.sgp1.digitaloceanspaces.com/chapter_wise/15986/y18.png" alt="Image" width="320" height="">
As the pressure increases, the volume decreases exponentially. The product of pressure and volume is always constant (PV = k). For a given mass of a gas, the value of k varies only with temperature.
ii. Graph of PV versus pressure (P) of a gas constant temperature:
If the product of pressure and volume (PV) is plotted against pressure (P), a straight line is obtained parallel to x-axis (pressure axis).
![]()
https://pg-data.sgp1.digitaloceanspaces.com/chapter_wise/15986/y19.png" alt="Image" width="340" height="">
iii. Graph of pressure (P) of a gas versus reciprocal of volume (1/V) at constant temperature:
If the pressure (P) of the gas is plotted against (1/V), a straight line is obtained passing through the origin.
![]()
https://pg-data.sgp1.digitaloceanspaces.com/chapter_wise/15986/y20.png" alt="Image" width="350" height="">
If the pressure (P) is plotted against volume (V) at constant temperature, a curve is obtained.
As the pressure increases, the volume decreases exponentially. The product of pressure and volume is always constant (PV = k). For a given mass of a gas, the value of k varies only with temperature.
ii. Graph of PV versus pressure (P) of a gas constant temperature:
If the product of pressure and volume (PV) is plotted against pressure (P), a straight line is obtained parallel to x-axis (pressure axis).
iii. Graph of pressure (P) of a gas versus reciprocal of volume (1/V) at constant temperature:
If the pressure (P) of the gas is plotted against (1/V), a straight line is obtained passing through the origin.
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