The continuous insulation $($c$.$i$.)$ layer shown is comprised of Polyisocyanurate and has a Thermal Conductivity $($k$)$ of $0\mathrm{.}14$Btu$-i\frac{n}{h}r-f{t}^{2}F,$ what is the required thickness of the Polyisocyanurate layer to gain compliance with ASHRAE Standard $90\mathrm{.}1$ for an above grade, wood framed wall?

Consider only the space between the studs. Please refer to the image and table provided below.

$\backslash$table$[[$Layers$,\backslash$table$[[$Thermal$],[$Resistance$],[$between$],[$studs$]],\backslash$table$[[$Thermal$],[$Resistance$],[$at studs$]]],[$Outdoor air boundary,$0\mathrm{.}17,0\mathrm{.}17],[$Brick and Block average,$4,4],[\frac{11}{2^{\text{'}\text{'}}}$ air gap,$1\mathrm{.}12,1\mathrm{.}12],[2^{\text{'}\text{'}}{4}^{n\text{'}}$ wood studs,$0,4\mathrm{.}35],[$Continuous insulation,,$],[$R$-13$ Batt insulation,$13,0],[\frac{1}{2}"$ drywall insulation,$0\mathrm{.}45,0\mathrm{.}45],[$Indoor air boundary,$0\mathrm{.}68,0\mathrm{.}68],[$Total Resistance,,$]]$

Table $5\mathrm{.}5-5$ Building Envelope Requirements for Climate Zone $5($A$,$B$,$C$)$

$\backslash$table$[[$Opaque Elements,Nonresidential,Residential,Semiheated$],[\backslash$table$[[$Assembly$],[$Maximum$]],\backslash$table$[[$Insulation$],[$Min$.$ R$-$Value$]],\backslash$table$[[$Assembly$],[$Maximum$]],\backslash$table$[[$Insulation$],[$Min$.$ R$-$Value$]],\backslash$table$[[$Assembly$],[$Maximum$]],\backslash$table$[[$Insulation$],[$Min$.$ R$-$Value$]]],[$Roofs$],[\backslash$table$[[$Insulation Entirely$],[$above Deck$]],$U$-0\mathrm{.}032,$R$-30$ c$.$i$.,$U$-0\mathrm{.}032,$R$-30$ c$.$i$.,$U$-0\mathrm{.}063,$R$-15$ c$.$i$.],[$Metal Building ${?}^a,$U$-0\mathrm{.}037,\backslash$table$[[$R$-19+$ R$-11$ Ls or$],[$R$-25+$ R$-8$ Ls$]],$U$-0\mathrm{.}037,\backslash$table$[[$R$-19+$ R$-11$ Ls or$],[$R$-25+$ R$-8$ Ls$]],$U$-0\mathrm{.}082,$R$-19],[$Attic and Other,U$-0\mathrm{.}021,$R$-49,U-0\mathrm{.}021,$R$-49,$U$-0\mathrm{.}034,$R$-30],[$Walls$,$ above Grade$],[$Mass$,$U$-0\mathrm{.}090,$R$-11\mathrm{.}4$ c$.$i$.,$U$-0\mathrm{.}080,$R$-13\mathrm{.}3$ c$.$i$.,U-{0\mathrm{.}151}^b,$R$-5.7$ c$.$i$..{?}^b$