In a steady flow apparatus, 250 kJ of work is done by each kg of the fluid. The specific volume of the fluid, pressure and speed at the inlet are 0.37 m³ /kg, 600 kPa and 16 m/s. The inlet is 32 m above the floor and the discharge pipe is at floor level. The discharge conditions are 0.62 m³ /kg, 100 kPa and 270 m/s. The internal energy decreases from 100 kJ/kg to 50 kJ /kg. How much heat in kJ/kg is added to the system?

Define the energy equation of a uniformflow system reduces to that of a closed system when all the inlets and exits are closed.

A pump operates at 78% efficiency when it is pumping water (density = 1000 kg/m³) at a volume flow rate of 0.3 m³/s with a head of 17 m. The gravitational acceleration g = 9.81 m/s². The pump impeller's shaft power is kW.

Fluid X56-1 (density = 1300 kg/m3; M = 253 kg/kmol) is pumped at a rate of 4.58 m3/hour from a storage tank to a processing unit. The pressure at the inlet to the processing unit is atmospheric while the air pressure in the storage tank is 1.25 atm. The storage tank contains fluid with a height of 1.8 m. The pump, located just outside the bottom of the tank, has a pressure at the exit point of 350 kPa. The pump is located 15 m lower than the processing unit. The pipe transporting the fluid is commercial steel with an inside diameter of 3 cm. Assume the viscosity is 42 mPa*s.a) What is the Reynold’s number for flow in the pipe?b) Is the flow laminar or turbulent?c) What is the pressure (kPa) at the inlet of the pump?d) What is the power (kW) supplied by the pump?e) Calculate the length (m) of the pipe.