I\'m designing an oil-filled electric space heater. An electric element inside t

Question

I'm designing an oil-filled electric space heater. An electric element inside the heater heats oil to temperature T, which in turn heats the metal casing to the same temperature. I want to maximize the radiated power from the metal casing to the room. 1.Why should the metal casing be made as a series of connected vertical oil chambers, rather than just a single rectangular tank? Looks more attractive in the room Cheaper to fabricate Increases percentage of radiated power in the IR range Increases surface area of casing and hence radiated power for a given temperature Increases the emissivity of the casing and hence radiated power for a given temperature 2.By changing the material from which the casing is fabricated, I can increase the emissivity by a factor of 2. By what factor does the radiated power change (assume temperature remains constant)? Stays the same Decreases by factor of 0.5 Increases by factor of 2 Increases by factor of 4 Increases by factor of 8 3.If I decrease the surface area of the casing by a factor of 2 and increase the temperature by a factor of 1.5, by what factor does the total radiated power change? Increases by a factor of 2.5 Stays the same Decreases by a factor of 0.75 Decreases by a factor of 0.375 Can't determine from data given 4. The maximum temperature of the casing is limited to 120

Explanation / Answer

Increases surface area of casing and hence radiated power for a given temperature increases by factor of 4

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