Which of the following represents the Van der | vedclass

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(D) The Van der Waals equation is a modified form of the ideal gas equation that accounts for the non-ideal behavior of real gases.For $n$ moles of a

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$PV+\frac{an^2}{V}-\frac{abn^3}{V^2}-Pnb=nRT$

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(D) The Van der Waals equation is a modified form of the ideal gas equation that accounts for the non-ideal behavior of real gases.For $n$ moles of a real gas, the equation is given by:$\left(P+\frac{an^2}{V^2}\right)(V-nb)=nRT$Expanding this expression:$P(V-nb) + \left(\frac{an^2}{V^2}\right)(V-nb) = nRT$$PV - Pnb + \frac{an^2}{V} - \frac{an^2b}{V^2} = nRT$Rearranging the terms, we get:$PV + \frac{an^2}{V} - \frac{an^2b}{V^2} - Pnb = nRT$Thus, option $D$ represents the expanded form of the Van der Waals equation.

Which of the following represents the Van der Waals equation for $n$ moles of a gas?

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