For a steel alloy it has been determined that a carburizing heat treatment of 6-h duration will raise the carbon concentration to 0.38 wt% at a point 3.0 mm from the surface. Estimate the time (in h) necessary to achieve the same concentration at a 5.6 mm position for an identical steel and at the same carburizing temperature.

In the winter, in order to keep the classroom steadily at 68 f before 10 pm, heating with an average rate of 42,000 btu/hr is provided. assume the outdoor temperature maintains at 32°f, determine the electrical power (kw) required to (a) operate a reversible heat pump (b) operate a real heat pump with a cop (7) of 4.5 and (c) operate an electrical-resistance heater.