As a preheater design for an industrial reactor, we need to feed methane to a burner through a process line consisting of two lengths of pipe (lengths L1=1.5m, and L2=2.75m ) of diameter D=4.35cm with a control valve between them (see figure). The entrance region from the methane storage tank to the pipe can be assumed to be frictionless and we will assume isothermal flow (T=300K) through the whole process. We can also assume methane is an ideal gas. The design of the burner calls for a methane mass rate of w=5.75kg/min when the valve is fully open ( eK,valve=2.5 when fully opened). The pressure in the burner is regulated at a constant P2=200kPa. We need to know what the methane storage tank pressure P0 needs to be in order to accomplish this flow rate. Additional information: viscosity of methane at 300K,=11.23106Pas piping roughness factor k/D=0.004 valve dissipation coefficient, ev,valve=2.5. The best way to proceed with this problem is to work your way backwards in the flow and find the pressure PB, then PA, etc. a) Find the pressures PB,PA,P1, and P0 for the process parameters given. Show all your work and include all computational code with relevant input and output in an organized manner. [5 pts] b) Report the value of G for your process. For the two pipe lengths (using the pressures you calculated from part (a)) determine the maximum Gmax for each length. Is your calculated value of G less than the maximum possible for the entire feed train? Explain. Show all your work. [5 pts]