1. I am bothered by the fact that they are not sharing information on how much their new coal gasification plant is producing. However, we may be able to figure it out ourselves. I observed that the gas (with a molecular weight of 13kg/kmol, a viscosity of 105kg/ms, and a thermal conductivity of 1.36 ) produced by the plant is transported to nearby industrial consumers using a 15cm inner diameter pipe that is 100m long. The pressure gauge on one end of the pipe recorded a reading of 1 MPa absolute, while the other end showed 500kPa. Although the pipe was hot to the touch and caused me discomfort, my saliva did not evaporate when I spat on it, leading me to conclude that the temperature inside the pipe is 87C. Can you help me estimate the flow rate of coal gas through the pipe in both tons per day and cubic meters per second, measured at at 1 atm and 0C ? 2. To facilitate the biochemical breakdown of lignocellulosic materials, we must add 5 L of air per second at 2 atm to a deep fermentation vat. We will achieve this by drawing air from a compressor located 100m away using a steel pipe with an inner diameter of 0.1m. To ensure that the desired flow rate is achieved, what should be the pressure at the inlet of the pipe? It is assumed that all components, including the vat and feed pipe, are at a temperature of 20C. 3. What is the required length of a commercial iron pipe discharge control tube with an inner diameter of 24mm to regulate the flow of 25mol/s of ethylene (with a thermal conductivity of 1.2 and dynamic viscosity of 2105kg/ms ) from a storage tank at 750kPa and 60C to a reactor operating at 250kPa