Refrigerant R-22 with a mass flow rate of m = 8.75 10^-3 kg/s is condensed inside a 7-mm-diameter tube. Annular flow is observed. The saturation temperature of the pressurized refrigerant is T_sat = 45°C, and the wall temperature is T_s = 40°C. Vapor properties are p_v =  77 kg/m³ and μ_v = 15 X 10^-6 N · s/m². 

(a) Determine the heat transfer coefficient and the heat transfer and condensation rates per unit length at a quality of X = 0.5.
(b) Plot the condensation rate per unit length over the range 0.2 < X < 0.8.