An overhead 25-m-long, uninsulated industrial steam pipe of 100-mm diameter is routed through a building whose walls and air are at 25∘C. Pressurized steam maintains a pipe surface temperature of 150∘C, and the coefficient associated with natural convection is h=10W/m2⋅K. The surface emissivity is ε=0.8. (a) What is the rate of heat loss from the steam line? (b) If the steam is generated in a gas-fired boiler operating at an efficiency of ηf=0.90 and natural gas is priced at Cg=$0.02 per MJ, what is the annual cost of heat loss from the line?