$3.(25$pts$)$ A cyclical thermodynamic process follows the paths shown in this diagram, moving from a to b to c to d to e to a $.$ The dots are aligned with the grid. $6\mathrm{.}97$ moles of an ideal gas are subjected to the process. $(\backslash ($ R$=8\mathrm{.}314\backslash$mathrm$\{$~J$\}/\backslash$mathrm$\{$K$\}-\backslash$mathrm$\{$mol$\}\backslash ))$

a$)(5$pts$)$ What are the temperatures at all $4$ points?

b$)(5$pts$)$ Identify $($if possible$)$ the type of process followed by each path.

c$)(10$pts$)$ Compute the work performed over each path $($being careful with the signs$).$

d$)(5$pts$)$ What is the net work?