A coffee enthusiast you wish to keep your coffee as hot as possible for as long

Question

A coffee enthusiast you wish to keep your coffee as hot as possible for as long as possible. You wish to and the rate of heat loss of a typical coffee mug. Assume the mug to be a cylinder which has a lid made out of the same material as the rest of the cylinder, and the thickness of the walls is 1.17 cm. If the coffee in the mug is 75.0 degree C and the room temperature is 23.2 degreeC how much more heat does the mug lose through conduction than from radiated energy. See the hint below for important constants. The mug loses heat by conduction9.487 mes more quickly than by radiation.

Explanation / Answer

If it is a glass mug

Thermal conductivity is 0.8W/mk

So if area is 1m2

Q/t = kA (T - troom) / d

= 0.8*1(273(75-23.2))/0.0117

=966.9kj/s

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