Air enters the duct of an air-conditioning system at 42∘C and 66 kPa at a velocity of 2 m/s. Mass flow rate is 2 kg/s. Heat is transferred to the air in the duct from the surroundings. There is also an electric power input of 25 kW. The air exits the duct at 57 ∘C. Determine (a) the heat transfer rate to the duct, (b) density of the air entering the duct, (c) the volume flow rate at the inlet, and (d) diameter of the duct.[ R=0.287kPa *m^3/kg* K, :Cp=1.005 kJ/kg* C

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Explain why you think this diagram shows what happened to the carbon in the biodome.

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.