Function sumArea = LeftRiemannApprox(xCoordinate, yCoordinate) % xCoordinate: Row array of x coordinates % yCoordinate: Row array of y coordinates % Row array of rectangle areas is (difference between each element in % xCoordinate) \.\* yCoordinate(1:end-1) rectangleAreas = xCoordinate; % Assign sumArea with the sum of all rectangles sumArea = 0; end

Air is compressed isentropically from an initial state of 300 k and 101 kpa to a final temperature of 1000 k. determine the final pressure using the following approaches: (a) approximate analysis (using properties at the average temperature) (b) exact analysis

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.