Liquid water enters a cooling tower operating at steady state at 40°c with a mass flow rate of 105 kg/h. cooled water at 25°c exits the cooling tower at the same mass flow rate. makeup water is supplied at 23°c. atmospheric air enters the tower at 30°c, 1 bar, 35% relative humidity. a saturated moist air stream exits at 34°c, 1 bar. determine a. the mass flow rates of the dry air and makeup water, each in kg/h. b. the rate of exergy destruction within the cooling tower, in kw, for t0 = 23°c.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.