Question

How do you graph Boyle's law?

Answer 1

Boyle's law:

• Boyes's law states that at constant temperature($\mathrm{T}$) for a given mass of ideal gas, the volume($\mathrm{V}$) of the gas is inversely proportional to its pressure($\mathrm{P}$).
• That is $P\propto \frac{1}{V}$, Therefore $\mathrm{PV}=\mathrm{K}$ Where $\mathrm{K}$ is constant.
• Graphs of Boyle’s law can be plotted at different temperatures.

Pressure v/s Volume Graph:

• The graph of Boyle’s law is known as a pressure-volume graph or $\mathrm{PV}$ curve.
• The pressure and volume graph at constant temperature is known as an isotherm

• As the Pressure increases with decreasing in volume, and vice versa.
• Other parameters such as temperature and amount of gas are constant in the graph.
• The equation of the curve is $\mathrm{PV}=\mathrm{K}$, which is the equation of Boyle’s law.

Pressure v/s $\frac{1}{\mathrm{volume}}$ Graph:

• The pressure exerted by the gas ($\mathrm{P}$) is taken on the $\mathrm{y}$-axis and the inverse of the volume occupied by the gas ($\frac{1}{\mathrm{v}}$) is taken on the $\mathrm{x}$-axis and straight line are obtained.

• Here, Pressure increases with decreasing in Volume, and vice versa.

$\mathrm{PV}$ v/s $\mathrm{P}$ Graph:

• $\mathrm{PV}$ against $\mathrm{P}$ at constant temperature gives a straight line.

$\mathrm{PV}$ v/s $\mathrm{V}$ Graph:

• $\mathrm{PV}$ against $\mathrm{V}$ at constant pressure gives a straight line.