It is necessary to store 1 kmol of methane at 300 K and 60 MPa. Determine the volume of the cylinder that is required for the storage by each of the following: (a) ideal gas equation (b) van der Waals equation (c) Redlich/Kwong equation For methane: Tc = 190.7 K, Pc =  46.41bar and parameters assigned for equations of state are: Equation of state α(Tr) σ ε Ω Ψ Zc Van der Waals (vdW) 1 0 0 1/8 27/64 3/8 Redlich/Kwong (RK)   1 0 0.08664 0.42748 1/3

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Equations of State

In thermodynamics, an equation of the state is an equation that relates the parameters like pressure, temperature and a particular volume of a material. For an incompressible material with such parameters (such as solids or liquids), the simplest equation of state states that the real volume is unchanged.