Use Aspen to solve the following problem. Consider a piping system connecting a vessel operating where the discharge pressure is 150 psig and another pressure vessel where the inlet operating pressure is 135psig. The fluid in the piping system is at 140F. The piping system consists of schedule 40 , carbon steel Determine the correct diameter for the piping and control valve so that the pressure drop in the piping system is 15psig at a velocity of 8fps if the fluid is benzene and the volumetric flow rate is 1000 gallons per minute A common rule of thumb used to design piping systems is that the velocity of a flowing liquid should be in the range of 6-10 feet per second (fps). For our problem, let's use 8 fps. Also, we usually make control valves one to two pipe sizes in diameter smaller than the connecting piping. For this problem, let's assume that our control valve size is one standard pipe size inch smaller than the surrounding piping (that is, if the pipe is 4" schedule 40 diameter, the control valve is a 3 " diameter valve, if 3 " diameter pipe make the control valve 2 "; if 2 " diameter pipe make the control valve 1.5", if the pipe is 6 " make the control valve 4", if the pipe is 8 " make the control valve 6"). Other than the control valve and the connecting pipe spools (which should have the same diameter as the control valve), assume that all the rest of the piping and fittings are the same diameter. b) Repeat part a) if the fluid is methane gas and the flow rate is 570,000 standard cubic feet per hour