The equation of state of some gases can be expressed as \( \left(P+\frac{a}{V^{2}}\right)(V-b)=R....

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The equation of state of some gases can be expressed
\( \mathrm{P} \)
as \( \left(P+\frac{a}{V^{2}}\right)(V-b)=R T \). Here \( P \) is the pressure, \( V \)
W
is the volume, \( T \) is the absolute temperature and \( a, b \), \( R \) are constants. The dimensions of ' \( a \) ' are
(1) \( \mathrm{ML}^{5} \mathrm{~T}^{-2} \)
(2) \( \mathrm{ML}^{-1} \mathrm{~T}^{-2} \)
(3) \( \mathrm{M}^{0} \mathrm{~L}^{3} \mathrm{~T}^{0} \)
(4) \( \mathrm{M}^{0} \mathrm{~L}^{6} \mathrm{~T}^{0} \)


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