Asmall halogen light bulb receives electrical power of 50W. The small filament is at 1000 K and gives out 20% of the power as light and the rest as heat transfer to the gas, which is at 500 K; the glass is at 400 K. All the power is absorbed by the room walls at 25◦C. Find the rate of generation of entropy in the filament, in the total bulb including the glass, and in the total room including the bulb.