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Consider a well-insulated rigid tank of volume 0.4 3 is connected to a pipe through a valve. This tank is initially at vacuum. The valve

Consider a well-insulated rigid tank of volume 0.4 3 is connected to a pipe through a valve. This tank is initially at vacuum. The valve is opened, and the tank fills with steam until the pressure is 9 MPa. At this point the pressure of the pipe and the tank are equal, and no more steam flows through the valve. The valve is then closed. The temperature right after the valve closed is measured to be 800C. The process takes place adiabatically. Determine the temperature of the steam flowing in the pipe. Also determine the mass of the steam that has entered to the tank during this process. You may assume the steam in the pipe stays at the same temperature and pressure throughout this process. Draw a scheme according to the question. Write your mass and energy balances clearly, and show your solution in detail.

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