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3. Consider a perfectly insulated mug with inside diameter Dm = 10 cm filled with hot coffee at a temperature of Te. It is on a table and exposed to air with T = 20 °C and h = 10 W/m²-K.a. At the instant in time when Tc = 100 °C calculate the heat loss by convection from the exposed coffee to the air.b. Consider a similar situation but now there is a stainless steel spoon inside the mug. Approximate the spoon as a cylinder with a diameter D₁ = 1 cm and thermal conductivity k = 15 W/m-K. A length L = 17 cm of the spoon is protruding from the surface of the coffee. At the instant in time when Tc = 100 °C calculate the heat loss from the coffee to the air.c. Comment on your results.

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