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i need to find z as a function of just Pr and Tr with these two equations. i wrote the equation for Vr in red

i need to find z as a function of just Pr and Tr with these two equations. i wrote the equation for Vr in red that i think needs to be substituted into the first equation and simplified. please help me out, thanks! image text in transcribed
The reduced form for the Redlich-Kwong equation of state is written as pr=(Vrb3TrbTrVr(Vr+b)1)/P1G=P1GPPC1=PCz where the reduced pressure is pr=p/pc with p as pressure and pc as critical pressure (bar), Tr=T/Tc with T as temperature and Tc as critical temperature (K),Vr=/Vc with V as molar volume and Vc as critical molar volume ( m3/mol ), and b=321 (unitless) [1]. Your assignment is to derive the function for ZRK=p/pIG as a function only of pr,Tr for a Redlich-Kwong gas, where p is the gas pressure predicted by the Redlich-Kwong equation and pIG is the ideal gas pressure. Further Information RK The critical molar volume for a wan der Waalogas is specified by its critical temperature and pressure as Vc=31pcRTcVr=3Z(PrTr) This expression can be used to obtain an expression for Vr as a function of pr,Tr

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