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A pure material passes through a throttling process. Process stream Process stream P = 0.84 MPa T = 350 K P = 0.1 MPa T = 308.637 K You have the following information available from solutions of the Peng-Robinson equation at the inlet and outlet conditions of this process. It is your job to identify the phase conditions (i.e., liquid or vapor) at which those roots correspond to. Inlet: T = 350 K P=0.84 MPa H-H G-Gig root Z RT RT 1 0.7113 -0.8233-0.2489 2 0.2268 -2.3421 -0.1598 3 0.0359 -8.2872 -0.9762 Outlet: T = 308.637 K P=0.10 MPa H-Hig G-Gig root Z RT RT 1 0.9615 -0.1032 -0.0379 2 0.0306 -2.8147 1.4327 3 0.0045 -10.1541-0.0379 a) What phase is the inlet stream? In other words, is it liquid or vapor? b) What is the fugacity of the input stream according to the Peng-Robinson equation? c) What is AHvap at the outlet conditions according to the Peng-Robinson equation? d) What is the fugacity of the input stream according to the Poynting method