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Every year at the proffentap evening in the Recup, traditionally a lot of barrels of beer are consumed. A typical beer vessel has an internal

Every year at the proffentap evening in the Recup, traditionally a lot of barrels of beer are consumed. A typical beer vessel has an internal diameter of 36 cm and an internal height of 55 cm and contains 50 liters of beer. The vessel is connected to a tap installation as shown in the figure below. The vessel itself is located in the basement and the tap outlet is 3 meters higher. The pipe connecting the tap to the vessel has a diameter of 9mm to the tap, which has an outlet diameter of 5mm. A gas bottle with CO2 keeps the absolute pressure at the surface of the beer constant at 1.5 bar. Since beer is mostly water, you may use the thermodynamic properties of water. What is the filling time of a 1-L pint glass if the total loss coefficient of the tap system K =1.2?

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