5) (30 pts, 10 pts each) Three methane problems. Not an ideal gas! Use chart in Figure 3.32. a) (10 pts) You have a continuous supply of methane in a pipeline that is delivered at a rate of 2kg/sec. The methane is at T=300K,P=13MPa. What is the volumetric flow rate (volume per time) of the methane in the pipeline? b) (10 pts) You have a heater on the pipeline that takes the upstream methane (T= 300K,P=13MPa ), and heats it to a downstream temperature of T=360K and pressure of 13MPa. How much heat per time is the heater applying to the methane stream? c) (10 pts) Instead of heating up the stream of methane, now consider running the methane (initial conditions of T=300K,P=13MPa ) through a valve and dropping the pressure to 3MPa. There is no heat transferred in the valve. Find the temperature of the methane downstream of the valve