Steam at 450°F is flowing through a steel pipe (k = 8.7 Btu / h \cdot ft \cdot{ }^{\circ} F) whose inner and outer diameters are 3.5 in. and 4.0 in., respectively, in an environment at 55°F. The pipe is insulated with 2-in.-thick fiberglass insulation (k = 0.020 Btu / h \cdot ft \cdot{ }^{\circ} F). If the heat transfer coefficients on the inside and the outside of the pipe are 30 and 5 Btu / h \cdot ft ^{2} \cdot{ }^{\circ} F, respectively, determine the rate of heat loss from the steam per foot length of the pipe. What is the error involved in neglecting the thermal resistance of the steel pipe in calculations?