The Rate at Which Heat Energy Is Conducted Through a Wall

Essay

The rate at which heat energy is conducted through a wall is modeled by the following
equation: $\dot { Q } = k \frac { A } { L } \Delta T$
where
$\dot { Q } =$ heat rate in watt
$k =$ thermal conductivity of the wall
$A =$ area of the wall in $\mathrm { m } ^ { 2 }$
$L =$ wall thickness in $\mathrm { m }$
$\Delta _ { T } =$ steady-state temperature difference between the inside and the outside surfaces of the wall, in ${ } ^ { \circ } \mathrm { C }$
What is the appropriate unit for $k$ if the preceding equation is to be homogeneous in units?