You are tasked to design a room $($height: $2\mathrm{.}7$m; length: $4$m$)$ that should maintain a room temperature of $20\backslash$deg C even during summer where outside temperature is $34$C$.$ The room is to be constructed using $4$ inches thick CHB $($k $=1\mathrm{.}1$ W$/$m$-$K$).$ The CHB will have a plaster onboth sides $($k $=1\mathrm{.}5$ W$/$m$-$K$),$ each $1$ cm thick.Assuming outside and inside convective heat transfer coefficient of $10$ W$/$m$\backslash$deg $-$K and $50$W$/$m $-$K$,$respectively,determinethefollowing:a$.$ the amount of heat transfer in Wb$.$ the temperature of the CHB $($at the inner side$)$ in Cc$.$ if $1$ layer of polyurethane foam $($k $=0\mathrm{.}03$W$/$m$-$K$)$ will be added for insulation, in which side should we put it$?$d$.$ how thick it should be to reduce the heat transfer by $20\%?$c$.$ how thick it should be to reduce the heat transfer by $50\%?$f$.$ how thick it should be to reduce the heat transfer by $99\%?$