you must develop a dynamic model based on fundamental principles for a pressure tank system as pictured below. You may assume that the total number of moles of gas in tank i, ni (t), may also be expressed as using the ideal gas law. All flow rates are molar flow rates. You can change valve position on the inlet stream u(t). You do not need to carry units throughout the problem, just try to make sure you have the correct terms in each balance. Derive a differential equation model for the system