Please answer those

Q7. Show that Bernoulli's equation reduces to the hydrostatic variation of pressure with depth when there is no flow (v1 = v2 = 0). water stay w.0 AP - egh just apply A, ? = A 2 Vz Q8. Oil at 20 C (p = 888 kg/m3 and n = 0.800 kg/m . s) is Horizontal flowing steadily through a 5-cm-diameter 40-m-long pipe. The pressure at the pipe inlet and outlet are measured to be 745 kPa and 97 kPa, respectively. Determine the flow rate of oil through the pipe assuming the pipe is (a) horizontal, (b) inclined 15 upward, (c) inclined 150 downward Q9. What diameter must a 15.5-m-long air duct have if the ventilation and heating system is to replenish the air in a room 8.0 m x 14.0 m x 4.0 m every 15.0 min? Assume the pump can exert a gauge pressure of 0.710 x 10- atm. Q10. What is the volume rate of flow of water from a 1.85 cm-diameter faucet if the pressure head is 12.0 m? Q11. What gauge pressure in the water pipes is necessary if a fire hose is to spray water to a height of 16 m? Assuming the water exit the pipe a velocity of 10 m/s. Q12. The horizontal constricted pipe shown on the right is a venturi tube used to measure the flow speed of incompressible fluids. Determine the flow speed v2 in terms of Pi and P2. Ag Q13.An enclosed tank containing a liquid of density p has a hole in its side at a distance y, from the tanks bottom. The hole is open to the atmosphere and its diameter is much smaller 2 P han the diameter of the tank i.e A2> >A1. The air above is maintained at a pressure P. Show that the speed of liquid leaving Po he hole when the liquids level is a distance h above the hole is iven by V1 = 2(P-Po) + 2gh P