[20 marks] Below figure shows a part of the production line of carrot milk in the F&B company. Initially, the production begins with the blending of carrot, water, and condensed milk to form the raw carrot milk (p = 1050 kg/m). Such blending process take places in two separate tank, where %3D their outlet streams are stream 1 (point 1) and 2 (point 2). At some point (point 3), the stream 1 and 2 combines into a single stream (stream 3), but subsequently split into three different streams (stream 4, 5, 6) to be stored in 3 different storage tanks. Unfortunately, the pipe of the stream 6 rupture at the point 7; so, the raw carrot milk shoot up to a unknown maximum height. It is known that the gauge pressure inside the carrot milk storage tank that connected to the ruptured production line is 53.5 kPa. Assume that the raw carrot milk is homogeneous throughout the delivery in the production line. Pange -53.5 APa P. 4-7 12 w Ue Tupureu prouction ine i5 53.5 kPa. Assume that the raw carrot milk is homogeneous throughout the delivery in the production line. Pauge 53.5 ANPa P,-7 V- 0.78 m/ 1.3 m/s, 2.35 m/s 2D, + 0.5D, V- 25% V 1.69 m/s D, 0.67 m D,-7 D,-? Carrot milk storage tank -38% V, Vs -1.33 m/s D,-7 P, Vy-7 y-7 V - 1.23 m / v- 0.7 m/s D,-7 D.-0.87 m (a) Calculate the diameters (D,, D2, D, D4, Ds), velocity (v,), and volumetric flow tates (V,, V. Va, and V). [10 marks) [3 marks) (b) Calculate the hydrostatic pressure at points 7 and 8. (c) Compute the maximum height (2,) that the leaked carrot milk stream can shoot up to. Do also provide the necessary assumptions/analysis in the related calculations. (7 marks)