Show all Steps please! and for part A please determine whether it is is Vapor or Liquid Form.

A pure material passes through a throttling process. 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=350K P=0.84MPa Outlet: T=308.637K P=0.10MPa a) What is the Phase of the Inlet Stream? b) What is the Fugacity of the input stream according to Peng-Robinson Equation? c) What is Hvap at the Outlet? d) What is the Fugacity of the input stream according to Poynting method