The equation of state of some gases can be expressed as (P+ a V^ 2 )(V-b)=R T where, P is…

Physics · NEET · NTA ExamsPhysics and Measurement

The equation of state of some gases can be expressed as \(\left(P+\frac{a}{V^{2}}\right)(V-b)=R T\) where, P is the pressure, V the volume, T the absolute temperature and a and b are constants. The dimensional formula of a is
  1. \(\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]\)
  2. \(\left[\mathrm{ML}^{5} \mathrm{~T}^{-2}\right]\)
  3. \(\left[\mathrm{MLT}^{-2}\right]\)
  4. \(\left[\mathrm{ML}^{-5} \mathrm{~T}^{2}\right]\)

Answer

(B) [ ML ^ 5 ~T ^ -2 ]

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