s pos

$$

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$cm.T$

Sorry, that's incorrect.

mug

The energy loss through conduction can be found with the equation

is $24$

$P_C=\frac{kAT}{L}$

where $k$ is the thermal conductivity of the mug, $A$ is the area, $T$ is the temperature difference, and $L$ is the thickness of the layer.

The rate of energy loss from radiation is found with the equation

$P_R=Ae(T^4-T_O^4)$

where $$ is the Stefan$-$Boltzmann constant, $A$ is the area, $e$ is the emissivity, $T$ is the temperature of the material, and $T_O$ is the temperature of the surroundings.