You are designing a nozzle that will form part of a large industrial system at an air treatment plant. You know the air will enter the nozzle at 5 m/s and 400 K, and that it needs to be accelerated to 100 m/s by the time it exits. Assume the nozzle operates adiabatically. Please answer the following questions. a. Write down general versions of the conservation of mass and conservation of energy equations for a control volume operating under steady flow. b. Simplify your expressions from part (a) to arrive at useful versions of these conservation equations for this problem. c. Do you think it is reasonable to ignore the inlet velocity? That is, can we say the inlet velocity is effectively V0 m/s during any ensuing analysis? d. What is the outlet temperature of the air? Do not use the idea of specific heat in your solution. e. Determine the area ratio between the inlet and outlet, Ain/Aout, knowing that you want the pressure to drop by 10% as the air flows through the nozzle.