Name water discharges into the atmosphere at exits (2) & (3) in the horizontal x-y plane from a piping system as shown. determine: the mass flow rate and velocity at section (3); the x and y components of the reaction force in the support flange at section (1). the reaction moment about the mid-point (a) at section (1). the energy loss to the surrounding.

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.