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

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The equation of state of a real gas is given by P + a V 2 ( V - b ) = R T , where P , V and T are pressure, volume and temperature respectively and R is the universal gas constant. The dimensions of a b 2 is similar to that of :

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From the dimensional analysis, it follows that [ P ] = a V 2 ⇒ [ a ] = PV 2 . . . 1 And, [ V ] = [ b ] Hence, a b 2 = PV 2 V 2 = [ P ]

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