the temp in an oven is 160 degrees C, the temp at the outer surface in the kitch

Question

the temp in an oven is 160 degrees C, the temp at the outer surface in the kitchen is 50 degreesC the oven(surface area 1.6 m^2) is insulated with a materialthat has a thickness of .02 m and a thermal conductivity of .045J How much energy is used to operate the oven for sixhours? @ 10 cents per kilowatt/hour for electrial energy, what is thecost of having the oven on? Please Help the temp in an oven is 160 degrees C, the temp at the outer surface in the kitchen is 50 degreesC the oven(surface area 1.6 m^2) is insulated with a materialthat has a thickness of .02 m and a thermal conductivity of .045J How much energy is used to operate the oven for sixhours? @ 10 cents per kilowatt/hour for electrial energy, what is thecost of having the oven on? Please Help

Explanation / Answer

the temp in an oven t = 160 degrees C, the temp at the outer surface in the kitchen t ' = 50 degrees C temp difference d = t - t ' = 110 degrees C the ovensurface area A = 1.6 m^2 thickness L = 0 .02 m thermal conductivity K = 0 .045 W m ^-1 K ^ -1 rate of energy lost = energy used to operate the oven                           = K A d / L                           = 396 W energy is used to operate the oven for six hours = 396 W * 6h                                                                         =2376 Wh                                                                        = 2.376 kWh So, cost = 2.376 * 10 cents               =23.76 cents How much energy is used to operate the oven for sixhours

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