JEE MainPhysicsModerateUnit and dimension

The van der Waals' equation of state for somegases can be
expressed as:
$\left( P + \right)(V - b) = RT$
Where P is the pressure, V the molar volume andT is the absolute
temperature of the given sampleof gas, a, b, and R constants. The
dimensions is

Show answer and solution

\lbrack P\rbrack = \left\lbrack \frac{a}{V^{2}} \right\rbrack\lbrack a\rbrack = \lbrack P\rbrack\left\lbrack V^{2} \right\rbrack = \left\lbrack M^{1}L^{- 1}T^{- 2} \right\rbrack\left\lbrack L^{6} \right\rbrack = \left\lbrack M^{1}L^{5}T^{- 2} \right\rbrack

Source: Grass-G / P-05 Physics paper 10 October.docx

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