a) A common design of an agitated vessel consists of impeller blades and sometimes equipped with baffle. i. Sketch the side view of a flow pattern of an axial and radial impeller in a baffled vessel. ii. State the function of baffle in an agitated vessel and sketch the difference between the top view of flow pattern for a baffled and un-baffled vessel (6 marks) b) From the data of an experiment, it was found out that the discharge (Q) depends on the head (H) over the weir, acceleration due to gravity (9), length of weir crest (L), height of the weir crest over the channel bottom (Z), and the kinematic viscosity (v) of the liquid. A dimensional analysis method known as Buckingham's t-method is used to check the dimensional homogeneity of the equation of the physical phenomenon of the system. i. By referring to the system described above determine the number of variables (n) and identify the dimension for all variables. ii. Determine the number of the primary dimensions (k) thus, suggest the number of t-term (6 marks)