Please solve $($c$)$ only. The answer is $131\mathrm{.}3$ kW$.$

EXAMPLE $5$

Two parallel planes measuring $2$ m by $2$ m are situated $2$ m apart. Plate $1$ is maintained at a temperature of $1100$ K and plate $2$ is maintained at $550$ K $.$ Determine the net heat transfer from the high temperature surface under the following conditions:

$($a$)$ the plates are black and the surroundings are at $0$ K and totally absorbing;

$($b$)$ the plates are black and the walls connecting the plates are reradiating;

$($c$)$ the plates are gray with emissivities of $0\mathrm{.}4$ and $0\mathrm{.}8,$ respectively, with black surroundings at $0$ K $.$