(D) The van der Waals equation for $n$ moles of a real gas is derived by correcting the pressure and volume terms of the ideal gas equation.Pressure c

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$\left( {P + \frac{{{n^2}a}}{{{V^2}}}} \right)(V - nb) = nRT$

(D) The van der Waals equation for $n$ moles of a real gas is derived by correcting the pressure and volume terms of the ideal gas equation.Pressure correction: $P_{ideal} = P_{real} + \frac{an^2}{V^2}$Volume correction: $V_{ideal} = V_{real} - nb$Substituting these into the ideal gas equation $PV = nRT$,we get:$\left( {P + \frac{{{n^2}a}}{{{V^2}}}} \right)(V - nb) = nRT$

Class 11 Chemistry States of Matter Real gases and Vander waal’s equation

Medium

The van der Waals equation of state for a real gas is given. For $n$ moles of a real gas,the equation can be expressed as:

A
$\left( {\frac{P}{n} + \frac{{na}}{{{V^2}}}} \right)\left( {\frac{V}{{n - b}}} \right) = RT$
B
$\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = nRT$
C
$\left( {P + \frac{{na}}{{{V^2}}}} \right)(nV - b) = nRT$
D
$\left( {P + \frac{{{n^2}a}}{{{V^2}}}} \right)(V - nb) = nRT$