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A spherical pot contains 0.75 L of hot coffee (essentially water) at an initial temperature of 95$^\circ$C. The pot has an emissivity of 0.60, and the surroundings are at 20.0$^\circ$C. Calculate the coffee’s rate of heat loss by radiation.

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$15 \mathrm{W}$

02:15

Averell Hause

Physics 101 Mechanics

Chapter 17

Temperature and Heat

Section 7

Mechanisms of Heat Transfer

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Washington

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So in this problem we have a spherical part that has $0.75 billion off hot coffee that we consider as for at a given temperature, that this 95 degrees that converting to Calvin's is 268 and outside. We have a temperature of 20 degrees and the party's radiating heat and has a M activity off 0.6. Yeah. Now they want to know how much What is the hate off heat loss by radiation. So they hate bye. Hit lost by radiation iss proportional to the our area. The missive ity off the material. The Stephen boats won't constant. There is fixed and the temperature that we are inside mine is the temperature that we are outside at the fourth Power Sigma here is ah, constant it ISS 5.67 times 10 to the minus eight ing What's by meters square Kelvin? But fourth. And to find the area this is the tricky part of discretion. We know that this is ah, this fear. So the volume office fear is for thirds. Bye, our cube. So let's But this here they're a bit smaller and the volume that we have here with the volunteer to have here. We can find the Raiders. So just substituting here and taking the Cuba route. We will retain that. The rage is off. This fear is zero point 26 Let's that this six Mears, with this rage us now we can find it. The area off this fear. So the area office fear is for bye are square and we have our now we just plugged the value. So this give you a street 0.94 point here. Me, this square. Now we just need to block the values in the hit dissipation equation. So the hit he iss the area, they the immensity, the Stephen bottom. A costume that this difference in temperature there is in calving here. This give us one for 70 What? So this fair cope artists lost thing lasting lost thing. Ah, this amount of heat on Lee by radiation

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