I need help. Can you solve this problem step by step ?

3. (35 points) An oil is to be pumped from a large open tank to a large pressurized tank held at 250kPa gauge. The oil (specific gravity =0.85, density =848kg/m3, viscosity =2103kg/m/s ) is to be pumped from an inlet at the side of the open tank through a line of commercial steel pipe having an inside diameter of 0.082m and total length of 150m. The desired nominal flow rate is 12m3/h and maximum flow rate is 15m3/h. The complete piping contains four elbows (90) and a globe valve half open. In order to build a control system (or mechatronics system) for flow control of this fluid pumping process, the plug type of the control valve must be determined and two option is available: i) inherently linear valve and ii) inherently equal percentage valve (a=40). As a mechatronics engineer, find the installed characteristic curves of the both valves. Which one of the valve is more suitable for this mechatronics/control system? Explain your reasoning. The pump curve is given below. Hint: Valve pressure drop = pump head - (end pressure + piping (pipe, valve, elbows etc.) pressure drop) and we usually select CV value at maximum flow for our valves. You are free to use a spreadsheet software for calculating and/or plotting the installed characteristics curves of the valves. You can prepare your graph by hand if you want and a neat/readable graph is acceptable. However, you must show at least one data point full calculation to get point/score from this