A300ft long section of a steam pipe whose diameter is 4in passes through an open space at 0°f. the average temperature of the outer surface of the pipe is measured to be 300°f, and the average heat transfer coefficient on the surface is determined to be 7.5 btu/h. ft^2.f. determine: (a) the rate of heat loss from the steam pipe (b) the annual cost of this energy loss if steam is generated in a natural gas furnace having efficiency of 85% and the price of natural gas is $1.20/therm (1 therm = 100,000btu)