The Vander Waal's equation of state for n mole of a real gas is

  1. PV = nRT

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CONCEPT:

Vander-Waals equation

  • The equation is basically a modified version of the Ideal Gas Law which states that gases consist of point masses that undergo perfectly elastic collisions.
    • However, this law fails to explain the behavior of real gases. Therefore, the Van der Waals equation was devised and it helps us define the physical state of a real gas.
    • Van der Waals equation is an equation relating the relationship between the pressure, volume, temperature, and amount of real gases. For a real gas containing ‘n’ moles, the equation is written as,

     -----(1)

Where P, V, T, n are the pressure, volume, temperature, and moles of the gas and  ‘a’ and ‘b’ constants specific to each gas

Rearranging the above equation, we get 

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