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Compressibility factor (Z) for a van der...

Compressibility factor (Z) for a van der Waals real gas at critical point is

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The Compressibility factor for one mole of a van der Waal's gas at '0^circ C' and '100 atm' pressure is found to be '0.5 .' Assuming that the volume of gas molecule is negligible, calculate the van der Waal's constant 'a'?

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