Two parallel, aligned, black disks, $1$ m in diameter and separated by $2$ m $,$ are located in a large room whose walls are maintained at $300$ K $($surface $3).$ One of the disks $($surface $1)$ is maintained at a uniform temperature of $700$ K $,$ while the other disk $($surface $2)$ is maintained at $500$ K $.$ Answer the following questions:

a$.$ Compute the view factors $F_{12}$ and ${?}_{13}?F_{12}=\mathrm{.}056$

b$.$ Draw the radiation network for this problem

$E_{k_l}=13614$

c$.$ What is the net heat rate input to surface $1$ to maintain this system?

$10196$ W

d$.$ What is the net heat transfer to the environment? $12040$ W

e$.$ What is the net heat rate input to surface $2?1844w$

Correct answers are given, please provide the work.