4. A factory D as shown in figure below conveys water from a closed tank through a pipe with 150 mm diameter at a rate of \( 0.1 \mathrm{~m}^{3} / \mathrm{s} \). Given that kinematic viscosity of water, \( u \) is \( 0.113 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s} \), pipe friction factor, \( f \) is 0.016 and coefficient of minor losses for inlet and bend of pipe are 0.05 and 0.4 respectively.
(i) Prove that the flow is turbulent (Answer: \( 7.5 \times 10^{5} \) )
(ii) Calculate energy head losses in pipe (Answer: 121.89 m )
(iii) Determine the tank pressure, \( \mathrm{P}_{1} \) if pressure at factory D is 50 kPa (Answer: \( 2,438.9 \mathrm{kPa} \) )