As a coffee enthusiast, you wish to keep your coffee as hot as possible for as long as possible. You wish to find the rate of heat loss of a typical coffee mug. Assume the mug to be a cylinder that has a lid made out of the same material as the rest of the cylinder and that the thickness of the walls is 1.34 cm. Assume that the thermal conductivity of all sides of the mug is 0.942 W/m-C, that the mug has an emissivity of 0.730, and that the Stefan-Boltzmann Constant is 5.67 x 10-8 W/m?-K“. If the coffee in the mug is 83.4 °C and the room temperature is 24.8 °C, how much more heat does the mug lose through conduction than from radiated energy? The mug loses heat by conduction times more quickly than by radiation

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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As a coffee enthusiast, you wish to keep your coffee as hot as possible for as long as possible. You wish to find the rate of heat
loss of a typical coffee mug. Assume the mug to be a cylinder that has a lid made out of the same material as the rest of the
cylinder and that the thickness of the walls is 1.34 cm. Assume that the thermal conductivity of all sides of the mug is
0.942 W/m-C, that the mug has an emissivity of 0.730, and that the Stefan-Boltzmann Constant is 5.67 x 10-8 W/m?-K“.
If the coffee in the mug is 83.4 °C and the room temperature is 24.8 °C, how much more heat does the mug lose through
conduction than from radiated energy?
The mug loses heat by conduction
times more quickly than by radiation.
Transcribed Image Text:As a coffee enthusiast, you wish to keep your coffee as hot as possible for as long as possible. You wish to find the rate of heat loss of a typical coffee mug. Assume the mug to be a cylinder that has a lid made out of the same material as the rest of the cylinder and that the thickness of the walls is 1.34 cm. Assume that the thermal conductivity of all sides of the mug is 0.942 W/m-C, that the mug has an emissivity of 0.730, and that the Stefan-Boltzmann Constant is 5.67 x 10-8 W/m?-K“. If the coffee in the mug is 83.4 °C and the room temperature is 24.8 °C, how much more heat does the mug lose through conduction than from radiated energy? The mug loses heat by conduction times more quickly than by radiation.
Expert Solution
Step 1

thickness of wall =1.34cm

Thermal conductivity of mug is = 0.943 W/m-C

emissivity= 0.73

Boltzmann's constant =5.67×10-8w/m2.k4

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