Air with a mass flow rate of 10 lbm/s enters a poorly insulated nozzle operating at steady state with a temperature of 400°F, a pressure of 75 lbf/in2, and a velocity of 20 ft/s. At the nozzle exit the temperature is 200°F, the pressure is 5 lbf/in2, and the fluid velocity is 1100 ft/s. Determine the rate of heat transfer (Btu/s) between the nozzle and the surroundings.