Question

The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT where P, V and T are pressure, volume and temperature resperature and R is the universal gas constant. The dimensions of the constant a in the above equation is

Answer 1

Please see the figure attached hope it helps and feel free to ask any query related to solution.

Answer 2

Answer:

The units of 'a' is atmdm⁶mol⁻²

Dimension of a = [ML⁻¹T⁻²][L⁶][M⁰L⁰T⁰]

[a] = ML⁶⁻¹T⁻²

[a] = ML⁵T⁻²

The equation of a state of a real gas is given by :

[P + a/V²] (V-b) = RT where P, V and T are pressure, volume, and temperature respectively and R is the universal gas constant.  

Explanation:

The dimensions of the constant  in the above equation is ML⁵T⁻².