Question

A cup of coffee with a lid is enclosed in an insulated cup 0.5cm thick in the shape of a cube 7.3cm on a side. The thermal conductivity is 0.02w/m the temperature of the coffee is 90 and the temperature of the surrounding is 22

Answer 1

`\begin{align}Q &= (kA\Delta T)/(d) \ &= ((0.02)(0.0315)(90 - 22))/(0.005) \ &= 237.6\ \text{W}\end{align}`

This is the rate of heat transfer through the insulated cup. Note that this assumes that the heat transfer is steady and one-dimensional, which may not be strictly accurate in reality.

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