If the equation of state of a gas is expressed as `(P + a/(V^2)) (V - b) = RT` where P is the pressure, V is the volume and T the absolute temperature and a, b , R are constants, then find the dimensions of 'a' and 'b' ?

Explanation

To find the dimensions of constants 'a' and 'b' in the equation of state of a gas given by:

\[ (P + \frac{a}{V^2})(V - b) = RT \]

where \(P\) is pressure, \(V\) is volume, \(T\) is absolute temperature, and \(a\), \(b\), and \(R\) are constants, we can follow these steps:

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