Consider a plane wall $100$ mm thick and of thermal conductivity $100\frac{W}{m}*$K$.$ Steady$-$state conditions are known to exist with $T_1=400K$ and $T_2=600K.$

Determine for each coordinate system shown:

$3$ pts $($x$3)-$ Temperature gradient $(\frac{K}{m})$

$2$ pts $($x$3)-$ Heat flux $(k\frac{W}{m^2})$

$($a$)($b$)($c$)$