Question: Methane flows through a circular pipe that has a diameter of 4 cm. The temperature, pressure, and velocity at the inlet to the pipe are 200 K, 250 kPa, and 30 m/s, respectively. Assuming that the flow is steady and isothermal calculate the pressure on the exit plane and the heat added to the methane in the pipe if the velocity on the pipe exit plane is 35 m/s. Assume that the methane can be treated as a perfect gas with a specific heat ratio of 1.32 and a molar mass of 16.