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1.16 ±Derive the relation between the critical constants and the Dieterici equation parameters. Show that Zc=2 e^-2 and derive the reduced form of the Dieterici equation of state. Compare the van der Waals and Dieterici predictions of the critical compression factor. Which is closer to typical experimental values? | Numerade
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SOLVED: Calculus can be used to derive a relation between the critical constants and the van der Waals parameters of a gas. The critical point of a van der Waals gas occurs where the isotherm has a flat inflection, which is where dp/dVm = 0 (zero slope) and d2p/dVm2 = 0 (zero curvature). (a) Derive expressions for these first and second derivatives by differentiating the van der Waals equation of state. Hence find expressions for the critical constants in terms of the van der Waals parameters. (
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