Solution-What is the rate of heat loss due to radiation

What is the rate of heat loss due to radiation

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Reference no: EM132590016

A hot cup of black coffee (85°C) is placed on a tabletop (22°C) where it remains. The surrounding room is at a temperature of 22°C. The cup is cylindrical in shape with a height of 15.0 cm and an outside diameter of 8.00 cm. The cup is made of ceramic with a thermal conductivity of 0.84 W/m°C. The outside of the cup has a temperature of 60°C and the cup is 6.0 mm in thickness. A slight breeze is blowing in the room.

Part A

Part complete

What is the rate of heat loss due to radiation from the outside of the cup if the outside surface is 60°C? Assume that the emissivity of the ceramic is about 0.95.

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part B

Part complete

What is the rate of heat loss due to radiation from the coffee itself?

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part C

Part complete

What is the rate of heat loss due to conduction through the bottom of the cup?

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part D

Part complete

What is the rate of heat loss due to convection from the side of the cup? Use a convection coefficient of 10

10 W/m^2°C for the cup's surface.

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part E

What is the rate of heat loss due to convection from the top of the coffee? Use a convection coefficient of 10

10 W/m^2°C

W/m2°C for the coffee's surface.

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part F

What is the rate of heat loss due to evaporation if the coffee evaporates at 0.001 grams/second?

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part G

What is the total rate of heat loss for the coffee?

Give your answer as positive since we are calculating the magnitude of the rate of loss.

Part H

Part complete

What heat must be removed from 200 grams of coffee to cool it to 25°C? You may assume that the specific heat capacity of coffee is the same as water.

Part I

If the rate of cooling is assumed to be constant, how long will the coffee take to reach a temperature of 25°C?

Reference no: EM132590016

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