Apipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. the pipe is 10 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. the pipe has a thermal conductivity of 17 w/m·k, and the inner pipe surface is at a uniform temperature of 120°c. the temperature drop between the inlet and exit of the pipe is 7°c, and the constant pressure specific heat of vapor is 2190 j/kg·°c. if the air temperature in the manufacturing plant is 25°c, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.