Calculate Energy & Cost for 7 Hour Oven Use

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To calculate the energy used by the oven operating at 165°C for 7 hours, the heat transfer through the insulation can be determined using the thermal conductivity and surface area. The energy consumption can then be calculated in kilowatt-hours. Given the cost of electricity at $0.10 per kilowatt-hour, the total operating cost can be derived from the energy used. The discussion emphasizes the importance of understanding thermal dynamics and cost calculations for efficient oven usage. Solutions and calculations are encouraged to aid in understanding the concepts involved.
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The temperature in an electric oven is 165°C. The temperature at the outer surface in the kitchen is 55°C. The oven (surface area = 1.6 m2) is insulated with material that has a thickness of 0.023 m and a thermal conductivity of 0.045 J/(sm°C).

a) How much energy is used to operate the oven for 7 hours?

(b) At a price of $0.10 per kilowatt hour for electrical energy, what is the cost of operating the oven?
 
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Owura, please offer at least an attempt at a solution, or what you know or even if I knew that I could get rest.
 
I solved it
 
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