A 0.30 m X 0.40 m branch duct leaves a 0.30 m X 0.60 m main duct at an angle of 60°. The air temperature is 20°C. The dimensions of the main duct remain constant following branch. The flow rate upstream is 2.7 m3/s. Find the pressure downstream in the main duct if at 20°C, the mass per unit volume is 1.2041 kg/m

Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables.  b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please

= = Air flows radially outward between the two parallel circular plates shown in the figure below. The pressure at the outer radius, Ro 5 cm, is atmospheric. Find the pressure at the inner radius R¿ 0.5 cm, if the air density is constant, the air flow is inviscid, the volume flow rate is 4.0 L/s, and the plate spacing is h = 0.125 cm. h Po= Patm = 101.3 kPa T = 20°C 777 R₁ Ra

Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables.  b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please