Correct Answer - Option 4 :
\(P = \dfrac{nRT}{V-nb} - \dfrac{n^2 a}{V^2}\)
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,
\(\Rightarrow \left ( P+\frac{an^{2}}{V^{2}} \right )\left ( V-nb \right )=nRT\) -----(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
\(P = \dfrac{nRT}{V-nb} - \dfrac{n^2 a}{V^2}\)
