Boyle law graphically

Boyle’s Law

• Boyle’s law was stated by Robert Boyle.
• It states that at constanttemperature, the pressure of a fixednumber of moles nof gasvaries inversely with its volume.

k₁ = Proportionality constant.

• It depends upon the amount and temperature of gas. It also depends upon the units in which p as well v are expressed.
• Let volume V₁ is occupied at pressure P₁ and temperature T₁.
• Again volume V₂ is occupied at pressure P₂ and temperature T₂. Mathematically, as per Boyle’s law:

P₁ V₁= P₂ V₂ = Constant

P_1/P₂  = V_2/V₁ 

• The curve corresponding to differentconstant temperature is calledisotherm.
• Highercurves correspond to higher temperature.

• The graph represents a straight line passing through the But under high pressures gases
  deviate from Boyle’s law and consequently there is no straight line in the graph.
• This signifies that gases become denser at high pressure.
• Density is defined as the ratio of mass by volume. Desity = Mass/ Volume = m/v
• Using the value of v from Boyle’s law equation, value of d can be further modified as