Chemical Engineering - Fluid Statics

Please help with all parts

2a) A piston with cross-sectional area of 0.1 m2 is located in a cylinder and is supported by a fluid A (SGA = 2) in the cylinder. An open U-tube manometer, containing fluid B (SGB = 10), is connected to the cylinder as shown below. For hA = 0.3 m and hB = 0.1 m, (a.) what is the gage pressure (kPa) of the fluid on the piston bottom and (b.) what is the mass of the piston (kg)?

2b) A vertical force F is applied at the top of a square gate, L x L, of mass M, which is hinged at the bottom and inclined at an angle of 60. If the fluid reaches the top of the gate, find F required for: (a.) a fluid of constant density #; (b) a fluid for which the density increases with depth according to = #+ , where z is the distance down from the surface, and is a known constant. Simplify your answer as much as possible and express F in terms of at most #, , M, L, g.

2c) A block of wood (SG = 0.6) floats in fluid X such that 80% of its volume is submerged in fluid X. (a.) Determine SGX for fluid X; (b.) Estimate the gage pressure of the air in the tank.

2d) The tank of liquid (SG = 1.6) accelerates to the right the fluid in rigid-body motion. (a.) Compute the acceleration, ax in m/s2. (b.) Determine the gage pressure at point A, Pg,A.